Projects | AB

XGBoost Star Classifier Pipeline

Thu, 14 Oct 2021 00:00:00 +0000

Classifying stars

Processed and balanced data obtained from Kaggle

I will use this data set to test out the XGBoost classifier. Information on the dataset is as follows (taken from the original Kaggle entry):

“Stellar Classification uses the spectral data of stars to categorize them into different categories.

The modern stellar classification system is known as the Morgan–Keenan (MK) classification system. It uses the old HR classification system to categorize stars with their chromaticity and uses Roman numerals to categorize the star’s size.
In this Dataset, we will be using Absolute Magnitude and B-V Color Index to identify Giants and Dwarfs (TargetClass).”

Stars will be classified based on their TargetClass as being either:

Star is a Dwarf (0)
Star is a Giant (1)

Note: This is a good dataset for learning about XGBoost, but it is not a good problem to solve with XGBoost as the number of features are relatively small and the problem is a simple binary classification problem.

#load libraries
import pandas as pd
import numpy as np
from matplotlib import pyplot as plt
import seaborn as sns
from xgboost import XGBClassifier
from sklearn.model_selection import train_test_split, cross_val_score
from sklearn.pipeline import Pipeline
from sklearn.preprocessing import OneHotEncoder
from sklearn.compose import ColumnTransformer
from sklearn.ensemble import RandomForestClassifier
from sklearn.dummy import DummyClassifier
from sklearn.metrics import mean_absolute_error
from sklearn.metrics import roc_auc_score
from sklearn.metrics import roc_curve

#read in zip file
star_df = pd.read_csv('data/Star39552_balanced.csv.zip')

Quick EDA

star_df.describe(include='all')

	Vmag	Plx	e_Plx	B-V	SpType	Amag	TargetClass
count	39552.000000	39552.000000	39552.000000	39552.000000	39552	39552.000000	39552.000000
unique	NaN	NaN	NaN	NaN	2576	NaN	NaN
top	NaN	NaN	NaN	NaN	K0III	NaN	NaN
freq	NaN	NaN	NaN	NaN	2841	NaN	NaN
mean	7.921309	7.117378	1.109705	0.744336	NaN	16.050687	0.500000
std	1.308857	12.446291	0.788133	0.513987	NaN	2.443937	0.500006
min	-0.620000	-27.840000	0.420000	-0.400000	NaN	-0.350000	0.000000
25%	7.210000	2.430000	0.800000	0.358000	NaN	14.756514	0.000000
50%	8.160000	4.440000	0.990000	0.703000	NaN	16.020827	0.500000
75%	8.830000	8.232500	1.230000	1.129000	NaN	17.590542	1.000000
max	12.850000	772.330000	40.630000	3.440000	NaN	30.449015	1.000000

All numeric apart from SPtype and TargetClass (which is numeric but only 0 or 1)

#check missing
star_df.isnull().sum()

Vmag 0
Plx 0
e_Plx 0
B-V 0
SpType 0
Amag 0
TargetClass 0
dtype: int64

# pairs plot to have a look at the data
sns.pairplot(star_df,
hue = 'TargetClass',
palette = 'flare',
corner = True)

<seaborn.axisgrid.PairGrid at 0x7ffb59557910>

Pix and e_Pix look like they could do with being log transformed. For this initial run I am not going to do this.

B-V is binomial for TargetClass= 1 (giants)

corr = star_df.corr()
corr_plot = sns.heatmap(
corr,
vmin=-1, vmax=1, center=0,
cmap=sns.diverging_palette(20, 220, n=200),
square=True
)
corr_plot.set_xticklabels(
corr_plot.get_xticklabels(),
rotation=45,
horizontalalignment='right'
);

B-V and TargetClass are strongly negatively correlated. Amag and TargetClass are moderately positively correlated. Other correlations appear fairly weak.

Create train test split

X = star_df.drop('TargetClass', axis=1)
y = star_df.TargetClass

# list of predictor names for later labelling
X_names = list(X)

X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)

Now prepare categorical columns for One-hot Encoding.

# sort categorical columns from numeric
cat = (X_train.dtypes == 'object')
cat_cols = list(cat[cat].index)

['SpType']

Start building the pipeline

# create one-hot encoder transformer
cat_transformer = Pipeline(steps=[
('onehot', OneHotEncoder(handle_unknown='ignore', sparse='False'))
])
# create preprocessor
preprocessor = ColumnTransformer(
transformers=[
('cat', cat_transformer, cat_cols)
])

First model - Dummy classifier

# define initial dummy model
dummy_model = DummyClassifier(random_state=42)

dummy_pipe = Pipeline(steps=[('preprocessor', preprocessor),
('model', dummy_model)])

# run the dummy pipeline
dummy_pipe.fit(X_train, y_train)

Pipeline(steps=[('preprocessor',
ColumnTransformer(transformers=[('cat',
Pipeline(steps=[('onehot',
OneHotEncoder(handle_unknown='ignore',
sparse='False'))]),
['SpType'])])),
('model', DummyClassifier(random_state=42))])

# def model metrics for use in all models tried
# assumes train test split defined with X and y
def model_metrics(input_pipe):
print("Training Accuracy", (input_pipe.score(X_train, y_train)) * 100)
print("Test Accuracy", (input_pipe.score(X_test, y_test)) * 100)
y_pred_test = input_pipe.predict(X_test)
y_pred_train = input_pipe.predict(X_train)
print("MAE train", mean_absolute_error(y_train.astype('int'),
y_pred_train.astype('int')))
print("MAE test", mean_absolute_error(y_test.astype('int'),
y_pred_test.astype('int')))
print("AUC train", roc_auc_score(y_train, y_pred_train))
print("AUC test", roc_auc_score(y_test, y_pred_test))

model_metrics(dummy_pipe)

Training Accuracy 50.26705856325654
Test Accuracy 48.93186702060422
MAE train 0.49732941436743466
MAE test 0.5106813297939578
AUC train 0.5
AUC test 0.5

As expected, the dummy classifier is no better than 50/50 guess!

Second model - Random Forest

Note - This model is for comparision with XGBoost. If I were training a random methodically, could use cross-validation (i.e. GridSearchCV) to maximise AUC and tune the hyper-parameters to determine the optimal value from the search grid.

Three parameters are important to tweak to avoid overfitting a random forest:

n_estimators - more trees reduces overfitting
max_depth - the deeper the tree the more the risk of overfitting
min_samples_leaves - the smaller the number of training exmples in the leave the greater the risk of overfitting

#use default settings for random forest
rf_model = RandomForestClassifier(random_state=42)
rf_pipe = Pipeline(steps=[('preprocessor', preprocessor),
('model', rf_model)])
# run the rf pipeline
rf_pipe.fit(X_train, y_train)

Pipeline(steps=[('preprocessor',
ColumnTransformer(transformers=[('cat',
Pipeline(steps=[('onehot',
OneHotEncoder(handle_unknown='ignore',
sparse='False'))]),
['SpType'])])),
('model', RandomForestClassifier(random_state=42))])

# get model metrics
model_metrics(rf_pipe)

Training Accuracy 100.0
Test Accuracy 97.74996839843256
MAE train 0.0
MAE test 0.022500316015674378
AUC train 1.0
AUC test 0.977970297029703

Oh wow. This data is modelled extremely well with the random forest model. As I thought initially, this is not a good dataset for XGBoost. But it will give me good practice in setting up the pipelines to run the models.

Third model - XGBoost

Extreme Gradient Boosting (XGBoost) uses gradient boosting framework. Boosting uses weak learners (models), makes conclusions about feature importance and parameters and uses these to build better models by trying to reduce the error of the previous model.

For XGBoost:

The weak learner is a tree ensemble.
The model has an inbuilt cross-validation function.
It can handle missing values.

For this run I will use the scikit-learn API of XGBoost.

note if use xgb version of XGBoost the data needs to be in DMatrices:

# example of native xgb
import xgboost as xgb
dtrain = xgb.DMatrix(X_train, label=y_train) #etc.

#use default settings for XGBoost, set eval_metric
xgb_model = XGBClassifier(use_label_encoder=False, eval_metric = 'mlogloss')
xgb_pipe = Pipeline(steps=[('preprocessor', preprocessor),
('model', xgb_model)])
# run the xgb pipeline
xgb_pipe.fit(X_train, y_train)

Pipeline(steps=[('preprocessor',
ColumnTransformer(transformers=[('cat',
Pipeline(steps=[('onehot',
OneHotEncoder(handle_unknown='ignore',
sparse='False'))]),
['SpType'])])),
('model',
XGBClassifier(base_score=0.5, booster='gbtree',
colsample_bylevel=1, colsample_bynode=1,
colsample_bytree=1, eval_metric='mlogloss',
gamma=0, gpu_id=-1, importance_type='gain',
interaction_constraints='',
learning_rate=0.300000012, max_delta_step=0,
max_depth=6, min_child_weight=1, missing=nan,
monotone_constraints='()', n_estimators=100,
n_jobs=8, num_parallel_tree=1, random_state=0,
reg_alpha=0, reg_lambda=1, scale_pos_weight=1,
subsample=1, tree_method='exact',
use_label_encoder=False, validate_parameters=1,
verbosity=None))])

# get model metrics
model_metrics(xgb_pipe)

Training Accuracy 91.75436933093138
Test Accuracy 92.01112375173808
MAE train 0.08245630669068614
MAE test 0.07988876248261914
AUC train 0.9179817667400189
AUC test 0.9183673469387755

XGBoost straight out of the box is performing reasonably well, but it is not as good as the random forest. Try tuning the hyperparameters to get a better model.

Hyperparameters we can tune include:

n_estimators - same as the random forest this is the number of models in the ensemble
learning_rate - shrinks the feature weights on each step to prevent overfitting. Default is 0.1. Lowering this reduces how much the model retrains and can help prevent overfitting, however a lower learning rate also needs more boosting rounds and increases training time
objective - defines the loss function to be minimised
early_stopping_rounds - not used in the parameter tuning below. This helps prevent overfitting by assessing the performance of the model at each round and stopping the model if performance hasn’t improved by the number of rounds set by this parameter

To have a look I am going to change some of the hyperparameters discussed above, but a more robust way to tune hyperparameters is with the cv function from XGBoost. This lets you run cross-validation on the training dataset and returns a mean MAE score.

To do this the data would need to be in XGBoost format and we would need to be running the xgb version of xgboost.

# declare parameters to be tuned
param = {
'objective': 'binary:logistic',
'max_depth': 4,
'alpha': 10,
'learning_rate': 0.15,
'n_estimators': 1000,
'use_label_encoder': False,
'eval_metric': 'mlogloss'
}

#use parameters for XGBoost, set eval_metric
xgb_param_model = XGBClassifier(**param)
xgb_param_pipe = Pipeline(steps=[('preprocessor', preprocessor),
('model', xgb_param_model)])
# run the pipeline
xgb_param_pipe.fit(X_train, y_train)

Pipeline(steps=[('preprocessor',
ColumnTransformer(transformers=[('cat',
Pipeline(steps=[('onehot',
OneHotEncoder(handle_unknown='ignore',
sparse='False'))]),
['SpType'])])),
('model',
XGBClassifier(alpha=10, base_score=0.5, booster='gbtree',
colsample_bylevel=1, colsample_bynode=1,
colsample_bytree=1, eval_metric='mlogloss',
gamma=0, gpu_id=-1, importance_type='gain',
interaction_constraints='', learning_rate=0.15,
max_delta_step=0, max_depth=4,
min_child_weight=1, missing=nan,
monotone_constraints='()', n_estimators=1000,
n_jobs=8, num_parallel_tree=1, random_state=0,
reg_alpha=10, reg_lambda=1, scale_pos_weight=1,
subsample=1, tree_method='exact',
use_label_encoder=False, validate_parameters=1,
verbosity=None))])

# get model metrics
model_metrics(xgb_param_pipe)

Training Accuracy 91.06538984229323
Test Accuracy 91.22740487928202
MAE train 0.08934610157706772
MAE test 0.08772595120717988
AUC train 0.9111285759195222
AUC test 0.9103590803409971

Adding the parameters has made the model worse! Another sign that the XGBoost model really isn’t the model for this data.

ROC comparison of models

To compare the models run on the data so far, I will finish this off with a ROC comparison plot of all models.

plt.figure(0).clf()
# add pipes for ROC
pipes = [
{
'label':'Dummy Classifier',
'pipe': dummy_pipe,
},
{
'label':'Random Forest',
'pipe': rf_pipe,
},
{
'label':'XGBoost',
'pipe': xgb_pipe,
},
{
'label':'XGBoost + parameters',
'pipe': xgb_param_pipe,
}
]
# iterate through pipes and plot
for p in pipes:
pipe = p['pipe']
y_pred=pipe.predict(X_test)
fpr, tpr, thresholds = roc_curve(y_test, pipe.predict_proba(X_test)[:,1])
auc = roc_auc_score(y_test, y_pred)
plt.plot(fpr, tpr, label='%s ROC (area = %0.2f)' % (p['label'], auc))
plt.plot([0, 1], [0, 1],'k--')
plt.xlim([0.0, 1.0])
plt.ylim([0.0, 1.05])
plt.xlabel('1-Specificity(False Positive Rate)')
plt.ylabel('Sensitivity(True Positive Rate)')
plt.title('Receiver Operating Characteristic')
plt.legend(loc="lower right")
plt.show()

Summary

Initial run of XGBoost
Addition of parameter feature tweak to XGBoost
Random forest outperformed XGBoost on this data
Highlights the importance of selecting data-appropriate models

Future runs

Include CV (cross-validation) for hyperparameter tuning
Remember that if you are running predictions - once you have the best model, run it again on all the data

Modelling flight delays for Newark Airport

Fri, 01 Oct 2021 00:00:00 +0000

This is my final end to end data project for CodeClan. Written in Python in Jupyter Notebooks. The aim was to provide data-driven exploratory analysis to provide insight on the impact of weather on flight delays. To achieve this I did an exploratory data analysis and modelling. This entry contains the modelling.

Random Forest Modeling

This model was selected for the following reasons:

several groups have used this model to successfully model flight delays example
it is relatively easy to interpret
the relative feature importance can be used to determine features important for delays

A Random Forest Classifier was used as I classified flights as delayed (1) or not delayed (0) according to the Bureau of Transport Statistics rules. These state that a flight is delayed if it is late by 15 minutes or more.

Outline of method:

perform a test/train split on the dataset
set a baseline model for comparison
perform wrapper method of feature selection
- run a model with all the data
- use the feature importance scores to remove one feature at a time
- this is the backwards elimination method
check the final model

ewr_model_data.head()

	origin	air_time	distance	hour	dep_delay_true	wind_dir	wind_speed	visib	temp_ave	temp_departure	...	dest_airport	dest_alt	carrier_name	manufacturer	engine	wind_scale	month_flag	weekday
0	EWR	136.0	937	5	False	220.0	11.5078	10.0	41.5	7.2	...	Orlando International Airport	96.0	JetBlue Airways	AIRBUS	Turbo-fan	Gentle Breeze	Jan	Sunday
1	EWR	45.0	212	5	False	220.0	11.5078	10.0	41.5	7.2	...	Washington Dulles International Airport	312.0	United Air Lines Inc.	AIRBUS	Turbo-fan	Gentle Breeze	Jan	Sunday
2	EWR	154.0	1085	6	False	230.0	10.9300	10.0	41.5	7.2	...	Miami International Airport	8.0	American Airlines Inc.	Unknown	Unknown	Gentle Breeze	Jan	Sunday
3	EWR	153.0	1065	6	False	230.0	10.9300	10.0	41.5	7.2	...	Fort Lauderdale Hollywood International Airport	9.0	JetBlue Airways	AIRBUS	Turbo-fan	Gentle Breeze	Jan	Sunday
4	EWR	42.0	200	6	True	230.0	10.9300	10.0	41.5	7.2	...	General Edward Lawrence Logan International Ai...	20.0	United Air Lines Inc.	AIRBUS	Turbo-fan	Gentle Breeze	Jan	Sunday

5 rows × 21 columns

from sklearn.ensemble import RandomForestClassifier
from sklearn.model_selection import train_test_split
from sklearn.tree import plot_tree
from sklearn.tree import export_text
from sklearn.metrics import confusion_matrix
from sklearn.metrics import mean_absolute_error
from sklearn.metrics import roc_auc_score
from sklearn.inspection import permutation_importance

ewr_model_data.reset_index(drop=True, inplace=True)

ewr_model_data_trim = ewr_model_data.drop(columns=['air_time', 'wind_scale', 'origin', 'dest_alt']).copy()
ewr_model_data_trim.dropna(inplace=True)

1. Model test with all the data

# one hot encoding
ewr_model_data_trim = pd.get_dummies(ewr_model_data_trim)
# split into predictors and response
ewr_predictors = ewr_model_data_trim.drop(columns = 'dep_delay_true')
ewr_response = ewr_model_data_trim['dep_delay_true']
# list of predictor names for later labelling
ewr_X_names = list(ewr_predictors)
# convert to numpy arrays for modelling
ewr_predictors = np.nan_to_num(ewr_predictors.astype(np.float32))
ewr_response = np.array(ewr_response)
# split data into test and train
# stratify on response as it is skewed 24% to 76%
ewr_X_train, ewr_X_test, ewr_y_train, ewr_y_test = \
train_test_split(ewr_predictors, ewr_response, test_size = 0.2,
random_state = 42,
stratify = ewr_response)

Establish a baseline model

Use a dummy classifier to test if the Random Forest model improves on the predictions.

from sklearn.dummy import DummyClassifier
clf_dummy = DummyClassifier(random_state=42)
clf_dummy.fit(ewr_X_train, ewr_y_train)

DummyClassifier(random_state=42)

# model metrics for baseline model
print("Accuracy", (clf_dummy.score(ewr_X_test, ewr_y_test)) * 100)
ewr_y_pred_test = clf_dummy.predict(ewr_X_test)
ewr_y_pred_train = clf_dummy.predict(ewr_X_train)
print("MAE train", mean_absolute_error(ewr_y_train.astype('int'),
ewr_y_pred_train.astype('int')))
print("MAE test", mean_absolute_error(ewr_y_test.astype('int'),
ewr_y_pred_test.astype('int')))
print("AUC train", roc_auc_score(ewr_y_train, ewr_y_pred_train))
print("AUC test", roc_auc_score(ewr_y_test, ewr_y_pred_test))

Accuracy 76.02925243770315
MAE train 0.23969031442565966
MAE test 0.23970747562296857
AUC train 0.5
AUC test 0.5

ewr_model_all = RandomForestClassifier(
n_estimators = 1000, #increase estimators to find a better model
min_samples_leaf=5, #set at 5 to remove effects of overfitting
random_state = 42)
ewr_model_all.fit(ewr_X_train, ewr_y_train)

RandomForestClassifier(min_samples_leaf=5, n_estimators=1000, random_state=42)

print("Training Accuracy", (ewr_model_all.score(ewr_X_train, ewr_y_train)) * 100)
# model metrics for weather variable model
print("Test Accuracy", (ewr_model_all.score(ewr_X_test, ewr_y_test)) * 100)
ewr_y_pred_test = ewr_model_all.predict(ewr_X_test)
ewr_y_pred_train = ewr_model_all.predict(ewr_X_train)
print("MAE train", mean_absolute_error(ewr_y_train.astype('int'),
ewr_y_pred_train.astype('int')))
print("MAE test", mean_absolute_error(ewr_y_test.astype('int'),
ewr_y_pred_test.astype('int')))
print("AUC train", roc_auc_score(ewr_y_train, ewr_y_pred_train))
print("AUC test", roc_auc_score(ewr_y_test, ewr_y_pred_test))

Training Accuracy 83.71780692052457
Test Accuracy 79.92957746478874
MAE train 0.1628219307947543
MAE test 0.2007042253521127
AUC train 0.6811129449503028
AUC test 0.6208141872920605

This model does not improve much on the baseline model. It is also overfitting the data (shown by the higher scores for accuracy and AUC for the training dataset and the lower scores in mean absolute error (MAE)).

Let’s look at the confusion matrix

mat = confusion_matrix(ewr_y_test, ewr_y_pred_test)
sns.heatmap(mat.T, square = True, annot = True, fmt = 'd', cbar = False)
plt.xlabel('true label')
plt.ylabel('predicted label');

The model is struggling to predict true positive values (i.e. it is not predicting delayed flights well). This is most likely because the data is biased. 76% of the flights are not delayed and 24% of the flights are delayed.

# get numerical feature importances
importances = list(ewr_model_all.feature_importances_)
# list of tuples with variable and importance
feature_importances = [(feature, round(importance, 2)) for feature,
importance in zip(ewr_X_names, importances)]
# sort the feature importances by most important first
feature_importances = sorted(feature_importances, key = lambda x: x[1], reverse = True)
# print out the feature and importances
[print('Variable: {:20} Importance: {}'.format(*pair)) for pair in feature_importances];

Variable: wind_speed Importance: 0.09
Variable: temp_ave Importance: 0.07
Variable: ppt Importance: 0.07
Variable: wind_dir Importance: 0.06
Variable: temp_departure Importance: 0.06
Variable: distance Importance: 0.05
Variable: hour_19 Importance: 0.04
Variable: hour_20 Importance: 0.04
Variable: hour_6 Importance: 0.03
Variable: hour_17 Importance: 0.03
Variable: hour_18 Importance: 0.03
Variable: visib Importance: 0.02
Variable: hour_7 Importance: 0.02
Variable: hour_8 Importance: 0.02
Variable: hour_21 Importance: 0.02
Variable: new_snow Importance: 0.01
Variable: snow_depth Importance: 0.01
Variable: hour_9 Importance: 0.01
Variable: hour_10 Importance: 0.01
Variable: hour_11 Importance: 0.01
Variable: hour_12 Importance: 0.01
Variable: hour_13 Importance: 0.01
Variable: hour_14 Importance: 0.01
Variable: hour_15 Importance: 0.01
Variable: hour_16 Importance: 0.01
Variable: carrier_name_JetBlue Airways Importance: 0.01
Variable: carrier_name_United Air Lines Inc. Importance: 0.01
Variable: manufacturer_AIRBUS Importance: 0.01
Variable: manufacturer_BOEING Importance: 0.01
Variable: manufacturer_EMBRAER Importance: 0.01
Variable: month_flag_Apr Importance: 0.01
Variable: month_flag_Aug Importance: 0.01
Variable: month_flag_Jan Importance: 0.01
Variable: month_flag_Jul Importance: 0.01
Variable: month_flag_Jun Importance: 0.01
Variable: month_flag_Mar Importance: 0.01
Variable: month_flag_May Importance: 0.01
Variable: month_flag_Nov Importance: 0.01
Variable: month_flag_Oct Importance: 0.01
Variable: month_flag_Sep Importance: 0.01
Variable: weekday_Friday Importance: 0.01
Variable: weekday_Monday Importance: 0.01
Variable: weekday_Saturday Importance: 0.01
Variable: weekday_Sunday Importance: 0.01
Variable: weekday_Thursday Importance: 0.01
Variable: weekday_Tuesday Importance: 0.01
Variable: weekday_Wednesday Importance: 0.01
Variable: hour_1 Importance: 0.0
Variable: hour_5 Importance: 0.0
Variable: hour_22 Importance: 0.0
Variable: hour_23 Importance: 0.0
Variable: dest_airport_Akron Canton Regional Airport Importance: 0.0
Variable: dest_airport_Albany International Airport Importance: 0.0
Variable: dest_airport_Asheville Regional Airport Importance: 0.0
Variable: dest_airport_Austin Bergstrom International Airport Importance: 0.0
Variable: dest_airport_Baltimore/Washington International Thurgood Marshall Airport Importance: 0.0
Variable: dest_airport_Bangor International Airport Importance: 0.0
Variable: dest_airport_Bishop International Airport Importance: 0.0
Variable: dest_airport_Blue Grass Airport Importance: 0.0
Variable: dest_airport_Bradley International Airport Importance: 0.0
Variable: dest_airport_Buffalo Niagara International Airport Importance: 0.0
Variable: dest_airport_Burlington International Airport Importance: 0.0
Variable: dest_airport_Charleston Air Force Base-International Airport Importance: 0.0
Variable: dest_airport_Charlotte Douglas International Airport Importance: 0.0
Variable: dest_airport_Cherry Capital Airport Importance: 0.0
Variable: dest_airport_Chicago Midway International Airport Importance: 0.0
Variable: dest_airport_Chicago O'Hare International Airport Importance: 0.0
Variable: dest_airport_Cincinnati Northern Kentucky International Airport Importance: 0.0
Variable: dest_airport_Cleveland Hopkins International Airport Importance: 0.0
Variable: dest_airport_Dallas Fort Worth International Airport Importance: 0.0
Variable: dest_airport_Dane County Regional Truax Field Importance: 0.0
Variable: dest_airport_Denver International Airport Importance: 0.0
Variable: dest_airport_Des Moines International Airport Importance: 0.0
Variable: dest_airport_Detroit Metropolitan Wayne County Airport Importance: 0.0
Variable: dest_airport_Eagle County Regional Airport Importance: 0.0
Variable: dest_airport_Eppley Airfield Importance: 0.0
Variable: dest_airport_Fort Lauderdale Hollywood International Airport Importance: 0.0
Variable: dest_airport_Fort Wayne International Airport Importance: 0.0
Variable: dest_airport_Gallatin Field Importance: 0.0
Variable: dest_airport_General Edward Lawrence Logan International Airport Importance: 0.0
Variable: dest_airport_General Mitchell International Airport Importance: 0.0
Variable: dest_airport_George Bush Intercontinental Houston Airport Importance: 0.0
Variable: dest_airport_Gerald R. Ford International Airport Importance: 0.0
Variable: dest_airport_Greater Rochester International Airport Importance: 0.0
Variable: dest_airport_Greenville Spartanburg International Airport Importance: 0.0
Variable: dest_airport_Hartsfield Jackson Atlanta International Airport Importance: 0.0
Variable: dest_airport_Honolulu International Airport Importance: 0.0
Variable: dest_airport_Indianapolis International Airport Importance: 0.0
Variable: dest_airport_Jackson Hole Airport Importance: 0.0
Variable: dest_airport_Jacksonville International Airport Importance: 0.0
Variable: dest_airport_James M Cox Dayton International Airport Importance: 0.0
Variable: dest_airport_John Wayne Airport-Orange County Airport Importance: 0.0
Variable: dest_airport_Kansas City International Airport Importance: 0.0
Variable: dest_airport_Lambert St Louis International Airport Importance: 0.0
Variable: dest_airport_Los Angeles International Airport Importance: 0.0
Variable: dest_airport_Louis Armstrong New Orleans International Airport Importance: 0.0
Variable: dest_airport_Louisville International Standiford Field Importance: 0.0
Variable: dest_airport_Lovell Field Importance: 0.0
Variable: dest_airport_Manchester Airport Importance: 0.0
Variable: dest_airport_McCarran International Airport Importance: 0.0
Variable: dest_airport_McGhee Tyson Airport Importance: 0.0
Variable: dest_airport_Memphis International Airport Importance: 0.0
Variable: dest_airport_Metropolitan Oakland International Airport Importance: 0.0
Variable: dest_airport_Miami International Airport Importance: 0.0
Variable: dest_airport_Minneapolis-St Paul International/Wold-Chamberlain Airport Importance: 0.0
Variable: dest_airport_Montrose Regional Airport Importance: 0.0
Variable: dest_airport_Myrtle Beach International Airport Importance: 0.0
Variable: dest_airport_Nashville International Airport Importance: 0.0
Variable: dest_airport_Norfolk International Airport Importance: 0.0
Variable: dest_airport_Norman Y. Mineta San Jose International Airport Importance: 0.0
Variable: dest_airport_Northwest Arkansas Regional Airport Importance: 0.0
Variable: dest_airport_Orlando International Airport Importance: 0.0
Variable: dest_airport_Palm Beach International Airport Importance: 0.0
Variable: dest_airport_Phoenix Sky Harbor International Airport Importance: 0.0
Variable: dest_airport_Piedmont Triad International Airport Importance: 0.0
Variable: dest_airport_Pittsburgh International Airport Importance: 0.0
Variable: dest_airport_Port Columbus International Airport Importance: 0.0
Variable: dest_airport_Portland International Airport Importance: 0.0
Variable: dest_airport_Portland International Jetport Airport Importance: 0.0
Variable: dest_airport_Raleigh Durham International Airport Importance: 0.0
Variable: dest_airport_Richmond International Airport Importance: 0.0
Variable: dest_airport_Ronald Reagan Washington National Airport Importance: 0.0
Variable: dest_airport_Sacramento International Airport Importance: 0.0
Variable: dest_airport_Salt Lake City International Airport Importance: 0.0
Variable: dest_airport_San Antonio International Airport Importance: 0.0
Variable: dest_airport_San Diego International Airport Importance: 0.0
Variable: dest_airport_San Francisco International Airport Importance: 0.0
Variable: dest_airport_Sarasota Bradenton International Airport Importance: 0.0
Variable: dest_airport_Savannah Hilton Head International Airport Importance: 0.0
Variable: dest_airport_Seattle Tacoma International Airport Importance: 0.0
Variable: dest_airport_South Bend Regional Airport Importance: 0.0
Variable: dest_airport_Southwest Florida International Airport Importance: 0.0
Variable: dest_airport_Syracuse Hancock International Airport Importance: 0.0
Variable: dest_airport_Tampa International Airport Importance: 0.0
Variable: dest_airport_Ted Stevens Anchorage International Airport Importance: 0.0
Variable: dest_airport_Theodore Francis Green State Airport Importance: 0.0
Variable: dest_airport_Washington Dulles International Airport Importance: 0.0
Variable: dest_airport_Wilkes Barre Scranton International Airport Importance: 0.0
Variable: dest_airport_Yampa Valley Airport Importance: 0.0
Variable: carrier_name_Alaska Airlines Inc. Importance: 0.0
Variable: carrier_name_American Airlines Inc. Importance: 0.0
Variable: carrier_name_Delta Air Lines Inc. Importance: 0.0
Variable: carrier_name_ExpressJet Airlines Inc. Importance: 0.0
Variable: carrier_name_SkyWest Airlines Inc. Importance: 0.0
Variable: carrier_name_Southwest Airlines Co. Importance: 0.0
Variable: carrier_name_Spirit Air Lines Importance: 0.0
Variable: carrier_name_Virgin America Importance: 0.0
Variable: manufacturer_BOMBARDIER INC Importance: 0.0
Variable: manufacturer_MCDONNELL DOUGLAS Importance: 0.0
Variable: manufacturer_Other Importance: 0.0
Variable: manufacturer_Unknown Importance: 0.0
Variable: engine_2 Cycle Importance: 0.0
Variable: engine_4 Cycle Importance: 0.0
Variable: engine_Electric Importance: 0.0
Variable: engine_Reciprocating Importance: 0.0
Variable: engine_Turbo-fan Importance: 0.0
Variable: engine_Turbo-jet Importance: 0.0
Variable: engine_Turbo-prop Importance: 0.0
Variable: engine_Turbo-shaft Importance: 0.0
Variable: engine_Unknown Importance: 0.0
Variable: month_flag_Dec Importance: 0.0
Variable: month_flag_Feb Importance: 0.0

# make feature importance plot
features = ewr_X_names
importances = ewr_model_all.feature_importances_
indices = np.argsort(importances)
# customized number
num_features = 15
plt.figure(figsize=(5, 4))
plt.title('Feature Importances')
# only plot the customized number of features
plt.barh(range(num_features),
importances[indices[-num_features:]], color='#49006a', align='center'
)
plt.yticks(range(num_features), [features[i] for i in indices[-num_features:]])
plt.xlabel('Relative Importance')
plt.show()

Two weather factors, wind_speed and precipitation (ppt) are important for predicting delays. As is temperature (temp_ave and temp_departure), wind direction (wind_dir) and visibility (visib).

For non-weather related factors, hour of departure and distance are also important.

I will have a look at the permutation feature importance. Permutation feature importance measures how important a feature is after permuting (‘shuffling’ the data). If permutation of the feature causes an increase in model error then this feature is important. On the other hand if permutation does not affect model error then this feature is not important for the model.

IMPORTANT - Features are scored on their importance for a particular model. This importance can change if you train a different model and unimportant features can become important.

# permutation importance
result = permutation_importance(ewr_model_all, ewr_X_test, ewr_y_test, n_repeats=10,
random_state=42, n_jobs=2)
for i in result.importances_mean.argsort()[::-1]:
if result.importances_mean[i] - 2 * result.importances_std[i] > 0:
print(f"{ewr_X_names[i]:<8}"
f"{result.importances_mean[i]:.3f}"
f" +/- {result.importances_std[i]:.3f}")

/Users/annebraae/opt/anaconda3/lib/python3.8/site-packages/joblib/externals/loky/process_executor.py:688: UserWarning: A worker stopped while some jobs were given to the executor. This can be caused by a too short worker timeout or by a memory leak.
warnings.warn(
ppt 0.014 +/- 0.001
wind_speed0.011 +/- 0.001
hour_20 0.008 +/- 0.000
hour_18 0.006 +/- 0.000
hour_19 0.006 +/- 0.001
wind_dir0.005 +/- 0.001
temp_ave0.005 +/- 0.001
hour_21 0.004 +/- 0.000
hour_17 0.004 +/- 0.000
visib 0.003 +/- 0.000
hour_6 0.003 +/- 0.000
temp_departure0.003 +/- 0.001
carrier_name_United Air Lines Inc.0.002 +/- 0.000
weekday_Saturday0.002 +/- 0.001
hour_8 0.002 +/- 0.000
hour_7 0.002 +/- 0.000
carrier_name_JetBlue Airways0.002 +/- 0.000
hour_9 0.002 +/- 0.000
month_flag_Jun0.001 +/- 0.000
hour_12 0.001 +/- 0.000
weekday_Friday0.001 +/- 0.000
hour_10 0.001 +/- 0.000
manufacturer_BOEING0.001 +/- 0.001
month_flag_May0.001 +/- 0.000
hour_11 0.001 +/- 0.000
hour_15 0.001 +/- 0.000
weekday_Wednesday0.001 +/- 0.000
snow_depth0.001 +/- 0.000
hour_16 0.001 +/- 0.000
carrier_name_Southwest Airlines Co.0.001 +/- 0.000
month_flag_Feb0.001 +/- 0.000
month_flag_Jul0.001 +/- 0.000
carrier_name_ExpressJet Airlines Inc.0.001 +/- 0.000
month_flag_Sep0.001 +/- 0.000
weekday_Thursday0.001 +/- 0.000
hour_13 0.001 +/- 0.000
weekday_Tuesday0.000 +/- 0.000
weekday_Monday0.000 +/- 0.000
hour_22 0.000 +/- 0.000
month_flag_Apr0.000 +/- 0.000
month_flag_Dec0.000 +/- 0.000
dest_airport_Ronald Reagan Washington National Airport0.000 +/- 0.000
dest_airport_South Bend Regional Airport0.000 +/- 0.000
dest_airport_Salt Lake City International Airport0.000 +/- 0.000
dest_airport_Nashville International Airport0.000 +/- 0.000
dest_airport_Buffalo Niagara International Airport0.000 +/- 0.000
dest_airport_McGhee Tyson Airport0.000 +/- 0.000
dest_airport_Lovell Field0.000 +/- 0.000
dest_airport_Jacksonville International Airport0.000 +/- 0.000
dest_airport_Baltimore/Washington International Thurgood Marshall Airport0.000 +/- 0.000
manufacturer_Other0.000 +/- 0.000
dest_airport_Des Moines International Airport0.000 +/- 0.000
dest_airport_Blue Grass Airport0.000 +/- 0.000
dest_airport_Gerald R. Ford International Airport0.000 +/- 0.000
dest_airport_Fort Wayne International Airport0.000 +/- 0.000
dest_airport_Greenville Spartanburg International Airport0.000 +/- 0.000
dest_airport_Bishop International Airport0.000 +/- 0.000

From the results of the permutation importance, I can remove air_time, wind_scale, dest_airport, dest_alt, distance, engine, manufacturer, snow_depth, new_snow.

2. Model with unimportant features removed

ewr_model_data.shape

(112447, 21)

ewr_model_trim = ewr_model_data.drop(
columns=['air_time', 'wind_scale', 'dest_airport', 'dest_alt',
'distance', 'engine', 'manufacturer', 'snow_depth', 'new_snow']).copy()
ewr_model_trim.dropna(inplace=True)
ewr_model_trim.shape

(112447, 12)

# one hot encoding
ewr_model_trim = pd.get_dummies(ewr_model_trim)
# split into predictors and response
ewr_predictors = ewr_model_trim.drop(columns = 'dep_delay_true')
ewr_response = ewr_model_trim['dep_delay_true']
# list of predictor names for later labelling
ewr_X_names = list(ewr_predictors)
# convert to numpy arrays for modelling
ewr_predictors = np.nan_to_num(ewr_predictors.astype(np.float32))
ewr_response = np.array(ewr_response)
# split data into test and train
# stratify on response as it is skewed 24% to 76%
ewr_X_train, ewr_X_test, ewr_y_train, ewr_y_test = \
train_test_split(ewr_predictors, ewr_response, test_size = 0.2,
random_state = 42,
stratify = ewr_response)

Again, establish a baseline for the model using a dummy classifier.

clf_dummy = DummyClassifier(random_state=42)
clf_dummy.fit(ewr_X_train, ewr_y_train)
# model metrics for baseline model
print("Accuracy", (clf_dummy.score(ewr_X_test, ewr_y_test)) * 100)
ewr_y_pred_test = clf_dummy.predict(ewr_X_test)
ewr_y_pred_train = clf_dummy.predict(ewr_X_train)
print("MAE train", mean_absolute_error(ewr_y_train.astype('int'),
ewr_y_pred_train.astype('int')))
print("MAE test", mean_absolute_error(ewr_y_test.astype('int'),
ewr_y_pred_test.astype('int')))
print("AUC train", roc_auc_score(ewr_y_train, ewr_y_pred_train))
print("AUC test", roc_auc_score(ewr_y_test, ewr_y_pred_test))

Accuracy 75.97598932859049
MAE train 0.240225885700946
MAE test 0.24024010671409515
AUC train 0.5
AUC test 0.5

ewr_model_final = RandomForestClassifier(n_estimators = 1000,
min_samples_leaf=3,
random_state = 42)
ewr_model_final.fit(ewr_X_train, ewr_y_train)

RandomForestClassifier(min_samples_leaf=3, n_estimators=1000, random_state=42)

# model metrics for final model
print("Training Accuracy", (ewr_model_final.score(ewr_X_train, ewr_y_train)) * 100)
print("Test Accuracy", (ewr_model_final.score(ewr_X_test, ewr_y_test)) * 100)
ewr_y_pred_test = ewr_model_final.predict(ewr_X_test)
ewr_y_pred_train = ewr_model_final.predict(ewr_X_train)
print("MAE train", mean_absolute_error(ewr_y_train.astype('int'),
ewr_y_pred_train.astype('int')))
print("MAE test", mean_absolute_error(ewr_y_test.astype('int'),
ewr_y_pred_test.astype('int')))
print("AUC train", roc_auc_score(ewr_y_train, ewr_y_pred_train))
print("AUC test", roc_auc_score(ewr_y_test, ewr_y_pred_test))

Training Accuracy 84.1524283824494
Test Accuracy 80.23566029346377
MAE train 0.15847571617550607
MAE test 0.19764339706536238
AUC train 0.7196908452983956
AUC test 0.6629441953662123

# generate confusion matrix
mat = confusion_matrix(ewr_y_test, ewr_y_pred_test)
sns.heatmap(mat.T, square = True, annot = True, fmt = 'd', cbar = False)
plt.xlabel('true label')
plt.ylabel('predicted label');

# get numerical feature importances
importances = list(ewr_model_final.feature_importances_)
# list of tuples with variable and importance
feature_importances = [(feature, round(importance, 2)) for feature,
importance in zip(ewr_X_names, importances)]
# sort the feature importances by most important first
feature_importances = sorted(feature_importances, key = lambda x: x[1], reverse = True)
# print out the feature and importances
[print('Variable: {:20} Importance: {}'.format(*pair)) for pair in feature_importances];

Variable: wind_speed Importance: 0.1
Variable: temp_ave Importance: 0.09
Variable: wind_dir Importance: 0.08
Variable: temp_departure Importance: 0.08
Variable: ppt Importance: 0.07
Variable: visib Importance: 0.03
Variable: hour_6 Importance: 0.03
Variable: hour_17 Importance: 0.03
Variable: hour_19 Importance: 0.03
Variable: hour_20 Importance: 0.03
Variable: carrier_name_United Air Lines Inc. Importance: 0.03
Variable: hour_7 Importance: 0.02
Variable: hour_18 Importance: 0.02
Variable: hour_21 Importance: 0.02
Variable: carrier_name_ExpressJet Airlines Inc. Importance: 0.02
Variable: carrier_name_JetBlue Airways Importance: 0.02
Variable: hour_8 Importance: 0.01
Variable: hour_9 Importance: 0.01
Variable: hour_10 Importance: 0.01
Variable: hour_11 Importance: 0.01
Variable: hour_12 Importance: 0.01
Variable: hour_13 Importance: 0.01
Variable: hour_14 Importance: 0.01
Variable: hour_15 Importance: 0.01
Variable: hour_16 Importance: 0.01
Variable: carrier_name_American Airlines Inc. Importance: 0.01
Variable: carrier_name_Delta Air Lines Inc. Importance: 0.01
Variable: carrier_name_Southwest Airlines Co. Importance: 0.01
Variable: month_flag_Apr Importance: 0.01
Variable: month_flag_Aug Importance: 0.01
Variable: month_flag_Dec Importance: 0.01
Variable: month_flag_Feb Importance: 0.01
Variable: month_flag_Jan Importance: 0.01
Variable: month_flag_Jul Importance: 0.01
Variable: month_flag_Jun Importance: 0.01
Variable: month_flag_Mar Importance: 0.01
Variable: month_flag_May Importance: 0.01
Variable: month_flag_Nov Importance: 0.01
Variable: month_flag_Oct Importance: 0.01
Variable: month_flag_Sep Importance: 0.01
Variable: weekday_Friday Importance: 0.01
Variable: weekday_Monday Importance: 0.01
Variable: weekday_Saturday Importance: 0.01
Variable: weekday_Sunday Importance: 0.01
Variable: weekday_Thursday Importance: 0.01
Variable: weekday_Tuesday Importance: 0.01
Variable: weekday_Wednesday Importance: 0.01
Variable: origin_EWR Importance: 0.0
Variable: hour_1 Importance: 0.0
Variable: hour_5 Importance: 0.0
Variable: hour_22 Importance: 0.0
Variable: hour_23 Importance: 0.0
Variable: carrier_name_Alaska Airlines Inc. Importance: 0.0
Variable: carrier_name_SkyWest Airlines Inc. Importance: 0.0
Variable: carrier_name_Spirit Air Lines Importance: 0.0
Variable: carrier_name_Virgin America Importance: 0.0

# make feature importance plot
features = ewr_X_names
importances = ewr_model_final.feature_importances_
indices = np.argsort(importances)
# customized number
num_features = 15
plt.figure(figsize=(5, 4))
plt.title('Feature Importances')
# only plot the customized number of features
plt.barh(range(num_features), importances[indices[-num_features:]], color='#49006a', align='center')
plt.yticks(range(num_features), [features[i] for i in indices[-num_features:]])
plt.xlabel('Relative Importance')
plt.show()

result = permutation_importance(ewr_model_final, ewr_X_test, ewr_y_test, n_repeats=10,
random_state=42, n_jobs=2)
for i in result.importances_mean.argsort()[::-1]:
if result.importances_mean[i] - 2 * result.importances_std[i] > 0:
print(f"{ewr_X_names[i]:<8}"
f"{result.importances_mean[i]:.3f}"
f" +/- {result.importances_std[i]:.3f}")

/Users/annebraae/opt/anaconda3/lib/python3.8/site-packages/joblib/externals/loky/process_executor.py:688: UserWarning: A worker stopped while some jobs were given to the executor. This can be caused by a too short worker timeout or by a memory leak.
warnings.warn(
ppt 0.015 +/- 0.001
wind_speed0.011 +/- 0.001
hour_19 0.009 +/- 0.001
hour_20 0.008 +/- 0.001
hour_17 0.006 +/- 0.001
carrier_name_United Air Lines Inc.0.006 +/- 0.001
hour_21 0.006 +/- 0.000
hour_18 0.005 +/- 0.000
hour_6 0.004 +/- 0.000
carrier_name_JetBlue Airways0.004 +/- 0.001
weekday_Saturday0.003 +/- 0.001
temp_ave0.003 +/- 0.001
hour_8 0.003 +/- 0.001
wind_dir0.003 +/- 0.001
visib 0.003 +/- 0.000
hour_16 0.002 +/- 0.000
hour_7 0.002 +/- 0.001
hour_15 0.001 +/- 0.000
hour_22 0.001 +/- 0.000
carrier_name_Alaska Airlines Inc.0.001 +/- 0.000
carrier_name_Southwest Airlines Co.0.001 +/- 0.000
hour_10 0.001 +/- 0.000

# make permutation importance plot
features = ewr_X_names
importances = result.importances_mean
indices = np.argsort(importances)
# customized number
num_features = 15
plt.figure(figsize=(5, 4))
plt.title('Permutation Feature Importances')
# only plot the customized number of features
plt.barh(range(num_features), importances[indices[-num_features:]], color='#49006a', align='center')
plt.yticks(range(num_features), [features[i] for i in indices[-num_features:]])
plt.xlabel('Relative Importance')
plt.show()

Format permutation feature importance plot for presentation

As this permutation feature importance plot was from the final model, format the plot so it is presentation worthy. This plot will be presented back to the client to inform on features contributing to flight departure delays.

Note - this is not a DRY (don’t repeat yourself) way of changing the names in this list, but it was the fastest way I could think of at the time.

# change axis labels
df = pd.DataFrame(ewr_X_names)
df.replace('wind_speed', 'Wind Speed', inplace=True)
df.replace('ppt', 'Precip', inplace=True)
df.replace('hour_19', '7pm', inplace=True)
df.replace('hour_20', '8pm', inplace=True)
df.replace('hour_17', '5pm', inplace=True)
df.replace('hour_17', '5pm', inplace=True)
df.replace('hour_21', '9pm', inplace=True)
df.replace('hour_18', '6pm', inplace=True)
df.replace('hour_6', '6am', inplace=True)
df.replace('carrier_name_United Air Lines Inc.', 'United Air Lines Inc.', inplace=True)
df.replace('carrier_name_JetBlue Airways', 'JetBlue Airways', inplace=True)
ewr_X_names = list(df[0])

# make permutation importance plot
features = ewr_X_names
importances = result.importances_mean
indices = np.argsort(importances)
# customized number
num_features = 10
plt.figure(figsize=(8, 5))
plt.title('Top 10 Features')
# only plot the customized number of features
plt.barh(range(num_features), importances[indices[-num_features:]],
color='#49006a', align='center')
plt.yticks(range(num_features), [features[i] for i in indices[-num_features:]])
plt.xlabel('Relative Importance')
plt.tight_layout()
plt.subplots_adjust(bottom=0.15)
plt.savefig('./figures/model_importance_plot.png', dpi = 250, pad_inches=0.85);

bias in the response variable of departure delays (76% to 24% delayed) is proving difficult to model
if want to improve the model can try synthetically inflating the delayed numbers to get the ratio closer to 50%
consider this if run this model again

Other thoughts for future modeling runs:

Use a pipeline for dummy encoding and model fitting
plot ROC for all different models on same axis for visual comparison

Summary and conclusions

High precipitation and wind speed cause delays
Flights departing after 5pm have larger delays
Don’t fly United Air Lines Inc. or Jet Blue Airways

Analysis of flight delays for Newark Airport

Thu, 30 Sep 2021 00:00:00 +0000

Newark airport has requested an investigation into flight departure delays.
Flight delays are a key performance indicator of airport operations.
The following three business questions are explored:

How does Newark compare to other NY airports
What is the impact of weather on flight departure delays
What other reasons impact flight departure delays

# import libraries
import pandas as pd
import numpy as np
import pandas_profiling as pp
import datetime as dt
import seaborn as sns
from matplotlib import pyplot as plt
import folium
import branca

# read in data
ewr_flights = pd.read_csv('data/clean_data/ewr_flights.csv')
# create combined flights_all data
flight_files = ['data/clean_data/ewr_flights.csv',
'data/clean_data/jfk_flights.csv',
'data/clean_data/lga_flights.csv']
flights_all = pd.concat(map(pd.read_csv, flight_files))

Preliminary analysis

Investigating weather data

# profile report for weather variables
pp.ProfileReport(ewr_flights.loc[:, ['time_hour', 'dep_delay_true', 'wind_dir',
'wind_speed', 'wind_gust', 'visib', 'temp_max', 'temp_min',
'temp_ave', 'temp_departure', 'ppt', 'new_snow', 'snow_depth']])

Summarize dataset: 100%|██████████| 27/27 [00:14<00:00, 1.88it/s, Completed]
Generate report structure: 100%|██████████| 1/1 [00:02<00:00, 2.18s/it]
Render HTML: 100%|██████████| 1/1 [00:02<00:00, 2.27s/it]

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.text-placeholder { display: inline-block; background-color: #444; height: 12px; border-radius: 100px; margin: 5px 0; min-width: 200px; opacity: .1; }</style></head><body><a class=anchor-pos id=top></a><nav class="navbar navbar-default navbar-fixed-top"><div class=container-fluid><div class=navbar-header><button type=button class="navbar-toggle collapsed" data-toggle=collapse data-target=#navbar aria-expanded=false aria-controls=navbar><span class=sr-only>Toggle navigation</span><span class=icon-bar></span><span class=icon-bar></span><span class=icon-bar></span></button><a class="navbar-brand anchor" href=#top>Pandas Profiling Report</a></div><div id=navbar class="navbar-collapse collapse"><ul class="nav navbar-nav navbar-right"><li><a class=anchor href=#overview>Overview</a></li><li><a class=anchor href=#variables>Variables</a></li><li><a class=anchor href=#interactions>Interactions</a></li><li><a class=anchor href=#correlations>Correlations</a></li><li><a class=anchor href=#missing>Missing values</a></li><li><a class=anchor href=#sample>Sample</a></li><li><a class=anchor href=#duplicate>Duplicate rows</a></li></ul></div></div></nav><div class=content><div class=container><div class="row header"><a class=anchor-pos id=overview></a><h1 class=page-header>Overview</h1></div><div class=section-items><div class="row spacing"><ul class="nav nav-pills" role=tablist><li role=presentation class=active><a href=#overview-dataset_overview aria-controls=overview-dataset_overview role=tab data-toggle=tab>Overview</a></li><li role=presentation><a href=#overview-warnings aria-controls=overview-warnings role=tab data-toggle=tab>Warnings <span class=badge>13</span></a></li><li role=presentation><a href=#overview-reproduction aria-controls=overview-reproduction role=tab data-toggle=tab>Reproduction</a></li></ul><div class=tab-content style="padding-top: 10px;"><div role=tabpanel class="tab-pane col-sm-12 active" id=overview-dataset_overview><div class=col-sm-6><p class=h4>Dataset statistics</p><table class="table table-condensed stats"><tbody><tr><th>Number of variables</th><td>13</td></tr><tr><th>Number of observations</th><td>112447</td></tr><tr><th>Missing cells</th><td>0</td></tr><tr><th>Missing cells (%)</th><td>0.0%</td></tr><tr><th>Duplicate rows</th><td>100649</td></tr><tr><th>Duplicate rows (%)</th><td>89.5%</td></tr><tr><th>Total size in memory</th><td>10.4 MiB</td></tr><tr><th>Average record size in memory</th><td>97.0 B</td></tr></tbody></table></div><div class=col-sm-6><p class=h4>Variable types</p><table class="table table-condensed stats"><tbody><tr><th>NUM</th><td>11</td></tr><tr><th>CAT</th><td>1</td></tr><tr><th>BOOL</th><td>1</td></tr></tbody></table></div></div><div role=tabpanel class="tab-pane col-sm-12" id=overview-warnings><table class="table table-condensed list-warnings"><p class=h4>Warnings</p><tr style=border-top:0><td> Dataset has 100649 (89.5%) duplicate rows </td><td><span class="label label-default">Duplicates</span></td></tr><tr><td><a class=anchor href=#pp_var_4215873076054101109><code>time_hour</code></a> has a high cardinality: 6517 distinct values </td><td><span class="label label-primary">High cardinality</span></td></tr><tr><td><a class=anchor href=#pp_var_382641393491675424><code>wind_gust</code></a> is highly correlated with <code>wind_speed</code></td><td><span class="label label-default">High correlation</span></td></tr><tr><td><a class=anchor href=#pp_var_2492398362418197901><code>wind_speed</code></a> is highly correlated with <code>wind_gust</code></td><td><span class="label label-default">High correlation</span></td></tr><tr><td><a class=anchor href=#pp_var_3530489825858011296><code>temp_min</code></a> is highly correlated with <code>temp_max</code> and <abbr title="temp_max, temp_ave">1 other fields</abbr></td><td><span class="label label-default">High correlation</span></td></tr><tr><td><a class=anchor href=#pp_var_-5083171276244515596><code>temp_max</code></a> is highly correlated with <code>temp_min</code> and <abbr title="temp_min, temp_ave">1 other fields</abbr></td><td><span class="label label-default">High correlation</span></td></tr><tr><td><a class=anchor href=#pp_var_667215055855875050><code>temp_ave</code></a> is highly correlated with <code>temp_max</code> and <abbr title="temp_max, temp_min">1 other fields</abbr></td><td><span class="label label-default">High correlation</span></td></tr><tr><td><a class=anchor href=#pp_var_3105748594939430141><code>wind_dir</code></a> has 6818 (6.1%) zeros </td><td><span class="label label-info">Zeros</span></td></tr><tr><td><a class=anchor href=#pp_var_2492398362418197901><code>wind_speed</code></a> has 6818 (6.1%) zeros </td><td><span class="label label-info">Zeros</span></td></tr><tr><td><a class=anchor href=#pp_var_382641393491675424><code>wind_gust</code></a> has 6818 (6.1%) zeros </td><td><span class="label label-info">Zeros</span></td></tr><tr><td><a class=anchor href=#pp_var_5788723175470451430><code>ppt</code></a> has 54199 (48.2%) zeros </td><td><span class="label label-info">Zeros</span></td></tr><tr><td><a class=anchor href=#pp_var_-4351960964740665307><code>new_snow</code></a> has 103414 (92.0%) zeros </td><td><span class="label label-info">Zeros</span></td></tr><tr><td><a class=anchor href=#pp_var_-2793035224093880385><code>snow_depth</code></a> has 104332 (92.8%) zeros </td><td><span class="label label-info">Zeros</span></td></tr></table></div><div role=tabpanel class="tab-pane col-sm-12" id=overview-reproduction><div class=col-sm-12><p class=h4>Reproduction</p><table class="table table-condensed stats"><tbody><tr><th>Analysis started</th><td>2021-09-30 16:07:17.967040</td></tr><tr><th>Analysis finished</th><td>2021-09-30 16:07:32.319461</td></tr><tr><th>Duration</th><td>14.35 seconds</td></tr><tr><th>Software version</th><td><a href=https://github.com/pandas-profiling/pandas-profiling>pandas-profiling v2.9.0</a></td></tr><tr><th>Download configuration</th><td><a download=config.yaml href="data:text/plain;charset=utf-8,title%3A%20Pandas%20Profiling%20Report%0Adataset%3A%0A%20%20%20%20description%3A%20%27%27%0A%20%20%20%20creator%3A%20%27%27%0A%20%20%20%20author%3A%20%27%27%0A%20%20%20%20copyright_holder%3A%20%27%27%0A%20%20%20%20copyright_year%3A%20%27%27%0A%20%20%20%20url%3A%20%27%27%0Avariables%3A%0A%20%20%20%20descriptions%3A%20%7B%7D%0Ashow_variable_description%3A%20yes%0Apool_size%3A%200%0Aprogress_bar%3A%20yes%0Avars%3A%0A%20%20%20%20num%3A%0A%20%20%20%20%20%20%20%20quantiles%3A%0A%20%20%20%20%20%20%20%20-%200.05%0A%20%20%20%20%20%20%20%20-%200.25%0A%20%20%20%20%20%20%20%20-%200.5%0A%20%20%20%20%20%20%20%20-%200.75%0A%20%20%20%20%20%20%20%20-%200.95%0A%20%20%20%20%20%20%20%20skewness_threshold%3A%2020%0A%20%20%20%20%20%20%20%20low_categorical_threshold%3A%205%0A%20%20%20%20%20%20%20%20chi_squared_threshold%3A%200.999%0A%20%20%20%20cat%3A%0A%20%20%20%20%20%20%20%20length%3A%20yes%0A%20%20%20%20%20%20%20%20unicode%3A%20no%0A%20%20%20%20%20%20%20%20cardinality_threshold%3A%2050%0A%20%20%20%20%20%20%20%20n_obs%3A%205%0A%20%20%20%20%20%20%20%20chi_squared_threshold%3A%200.999%0A%20%20%20%20%20%20%20%20coerce_str_to_date%3A%20no%0A%20%20%20%20%20%20%20%20redact%3A%20no%0A%20%20%20%20bool%3A%0A%20%20%20%20%20%20%20%20n_obs%3A%203%0A%20%20%20%20file%3A%0A%20%20%20%20%20%20%20%20active%3A%20no%0A%20%20%20%20image%3A%0A%20%20%20%20%20%20%20%20active%3A%20no%0A%20%20%20%20%20%20%20%20exif%3A%20yes%0A%20%20%20%20%20%20%20%20hash%3A%20yes%0Asort%3A%20None%0Amissing_diagrams%3A%0A%20%20%20%20bar%3A%20yes%0A%20%20%20%20matrix%3A%20yes%0A%20%20%20%20heatmap%3A%20yes%0A%20%20%20%20dendrogram%3A%20yes%0Acorrelations%3A%0A%20%20%20%20pearson%3A%0A%20%20%20%20%20%20%20%20calculate%3A%20yes%0A%20%20%20%20%20%20%20%20warn_high_correlations%3A%20yes%0A%20%20%20%20%20%20%20%20threshold%3A%200.9%0A%20%20%20%20spearman%3A%0A%20%20%20%20%20%20%20%20calculate%3A%20yes%0A%20%20%20%20%20%20%20%20warn_high_correlations%3A%20no%0A%20%20%20%20kendall%3A%0A%20%20%20%20%20%20%20%20calculate%3A%20yes%0A%20%20%20%20%20%20%20%20warn_high_correlations%3A%20no%0A%20%20%20%20phi_k%3A%0A%20%20%20%20%20%20%20%20calculate%3A%20yes%0A%20%20%20%20%20%20%20%20warn_high_correlations%3A%20no%0A%20%20%20%20cramers%3A%0A%20%20%20%20%20%20%20%20calculate%3A%20yes%0A%20%20%20%20%20%20%20%20warn_high_correlations%3A%20yes%0A%20%20%20%20%20%20%20%20threshold%3A%200.9%0A%20%20%20%20recoded%3A%0A%20%20%20%20%20%20%20%20calculate%3A%20no%0A%20%20%20%20%20%20%20%20warn_high_correlations%3A%20no%0A%20%20%20%20%20%20%20%20threshold%3A%200.0%0Ainteractions%3A%0A%20%20%20%20targets%3A%20%5B%5D%0A%20%20%20%20continuous%3A%20yes%0Acategorical_maximum_correlation_distinct%3A%20100%0Aplot%3A%0A%20%20%20%20image_format%3A%20svg%0A%20%20%20%20dpi%3A%20800%0A%20%20%20%20scatter_threshold%3A%201000%0A%20%20%20%20correlation%3A%0A%20%20%20%20%20%20%20%20cmap%3A%20RdBu%0A%20%20%20%20%20%20%20%20bad%3A%20%27%23000000%27%0A%20%20%20%20missing%3A%0A%20%20%20%20%20%20%20%20cmap%3A%20RdBu%0A%20%20%20%20%20%20%20%20force_labels%3A%20yes%0A%20%20%20%20pie%3A%0A%20%20%20%20%20%20%20%20max_unique%3A%2010%0A%20%20%20%20histogram%3A%0A%20%20%20%20%20%20%20%20x_axis_labels%3A%20yes%0A%20%20%20%20%20%20%20%20bins%3A%2050%0A%20%20%20%20%20%20%20%20max_bins%3A%20250%0An_obs_unique%3A%205%0An_extreme_obs%3A%205%0An_freq_table_max%3A%2010%0Amemory_deep%3A%20no%0Aduplicates%3A%0A%20%20%20%20head%3A%2010%0Asamples%3A%0A%20%20%20%20head%3A%2010%0A%20%20%20%20tail%3A%2010%0Areject_variables%3A%20yes%0Anotebook%3A%0A%20%20%20%20iframe%3A%0A%20%20%20%20%20%20%20%20height%3A%20800px%0A%20%20%20%20%20%20%20%20width%3A%20100%25%0A%20%20%20%20%20%20%20%20attribute%3A%20srcdoc%0Ahtml%3A%0A%20%20%20%20minify_html%3A%20yes%0A%20%20%20%20use_local_assets%3A%20yes%0A%20%20%20%20inline%3A%20yes%0A%20%20%20%20navbar_show%3A%20yes%0A%20%20%20%20file_name%3A%20None%0A%20%20%20%20style%3A%0A%20%20%20%20%20%20%20%20theme%3A%20None%0A%20%20%20%20%20%20%20%20logo%3A%20%27%27%0A%20%20%20%20%20%20%20%20primary_color%3A%20%27%23337ab7%27%0A%20%20%20%20%20%20%20%20full_width%3A%20no%0A">config.yaml</a></td></tr></tbody></table></div></div></div></div></div><div class="row header"><a class=anchor-pos id=variables></a><h1 class=page-header>Variables</h1></div><div class=section-items><div class="row spacing"><a class="anchor-pos anchor-pos-variable" id=pp_var_4215873076054101109></a><div class=variable><div class=col-sm-3><p class=h4 title=time_hour><a href=#pp_var_4215873076054101109>time_hour</a><br><small>Categorical</small></p><code>HIGH CARDINALITY</code><br><p class=variable-description></p></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr class=alert><th>Distinct</th><td>6517</td></tr><tr><th>Distinct (%)</th><td>5.8%</td></tr><tr><th>Missing</th><td>0</td></tr><tr><th>Missing (%)</th><td>0.0%</td></tr><tr><th>Memory size</th><td>878.5 KiB</td></tr></tbody></table></div><div class=col-sm-6><div class="col-sm- collapse in" id=minifreqtable><table class="mini freq"><tr class><th width=50%> 2017-08-08T06:00:00Z </th><td width=50%><div class=bar style=width:0.0% data-toggle=tooltip data-placement=right data-html=true data-delay=500>   </div> 36 </td></tr><tr class><th width=50%> 2017-08-25T06:00:00Z </th><td width=50%><div class=bar style=width:0.0% data-toggle=tooltip data-placement=right data-html=true data-delay=500>   </div> 36 </td></tr><tr class><th width=50%> 2017-08-24T06:00:00Z </th><td width=50%><div class=bar style=width:0.0% data-toggle=tooltip data-placement=right data-html=true data-delay=500>   </div> 36 </td></tr><tr class><th width=50%> 2017-07-17T06:00:00Z </th><td width=50%><div class=bar style=width:0.0% data-toggle=tooltip data-placement=right data-html=true data-delay=500>   </div> 36 </td></tr><tr class><th width=50%> 2017-08-23T06:00:00Z </th><td width=50%><div class=bar style=width:0.0% data-toggle=tooltip data-placement=right data-html=true data-delay=500>   </div> 36 </td></tr><tr class=other><th width=50%> Other values (6512) </th><td width=50%><div class=bar style=width:100.0% data-toggle=tooltip data-placement=right data-html=true data-delay=500> 112267  </div></td></tr></table></div></div><div class="col-sm-12 text-right"><button class="btn btn-default btn-sm" data-toggle=collapse data-target="#bottom-4215873076054101109, #minifreqtable4215873076054101109" aria-expanded=true aria-controls=collapseExample>Toggle details</button></div><div id=bottom-4215873076054101109 class=collapse><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#4215873076054101109bottom-4215873076054101109frequencies aria-controls=4215873076054101109bottom-4215873076054101109frequencies role=tab data-toggle=tab>Frequencies</a></li><li role=presentation><a href=#4215873076054101109bottom-4215873076054101109tbl aria-controls=4215873076054101109bottom-4215873076054101109tbl role=tab data-toggle=tab>Length</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=4215873076054101109bottom-4215873076054101109frequencies><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#4215873076054101109frequencies-4215873076054101109common_values aria-controls=4215873076054101109frequencies-4215873076054101109common_values role=tab data-toggle=tab>Common Values</a></li><li role=presentation><a href=#4215873076054101109frequencies-4215873076054101109tbl aria-controls=4215873076054101109frequencies-4215873076054101109tbl role=tab data-toggle=tab>Overview</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=4215873076054101109frequencies-4215873076054101109common_values><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=2017-08-08T06:00:00Z>2017-08-08T06:00:00Z</td><td>36</td><td>< 0.1%</td><td><div class=bar style=width:0.0%> </div></td></tr><tr class><td title=2017-08-25T06:00:00Z>2017-08-25T06:00:00Z</td><td>36</td><td>< 0.1%</td><td><div class=bar style=width:0.0%> </div></td></tr><tr class><td title=2017-08-24T06:00:00Z>2017-08-24T06:00:00Z</td><td>36</td><td>< 0.1%</td><td><div class=bar style=width:0.0%> </div></td></tr><tr class><td title=2017-07-17T06:00:00Z>2017-07-17T06:00:00Z</td><td>36</td><td>< 0.1%</td><td><div class=bar style=width:0.0%> </div></td></tr><tr class><td title=2017-08-23T06:00:00Z>2017-08-23T06:00:00Z</td><td>36</td><td>< 0.1%</td><td><div class=bar style=width:0.0%> </div></td></tr><tr class><td title=2017-07-13T06:00:00Z>2017-07-13T06:00:00Z</td><td>36</td><td>< 0.1%</td><td><div class=bar style=width:0.0%> </div></td></tr><tr class><td title=2017-07-20T06:00:00Z>2017-07-20T06:00:00Z</td><td>36</td><td>< 0.1%</td><td><div class=bar style=width:0.0%> </div></td></tr><tr class><td title=2017-07-10T06:00:00Z>2017-07-10T06:00:00Z</td><td>36</td><td>< 0.1%</td><td><div class=bar style=width:0.0%> </div></td></tr><tr class><td title=2017-08-01T06:00:00Z>2017-08-01T06:00:00Z</td><td>36</td><td>< 0.1%</td><td><div class=bar style=width:0.0%> </div></td></tr><tr class><td title=2017-08-14T06:00:00Z>2017-08-14T06:00:00Z</td><td>36</td><td>< 0.1%</td><td><div class=bar style=width:0.0%> </div></td></tr><tr class=other><td title="Other values (6507)">Other values (6507)</td><td>112087</td><td>99.7%</td><td><div class=bar style=width:100.0%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=4215873076054101109frequencies-4215873076054101109tbl><div class=col-sm-6><?xml version="1.0" encoding="utf-8" standalone="no"?><!DOCTYPE svg class="img-responsive center-img"PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg class="img-responsive center-img" height=288pt version=1.1 viewbox="0 0 432 288" width=432pt xmlns=http://www.w3.org/2000/svg xmlns:xlink=http://www.w3.org/1999/xlink><metadata><rdf:rdf xmlns:cc=http://creativecommons.org/ns# xmlns:dc=http://purl.org/dc/elements/1.1/ 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85.056818 22.02186 z "/></g><g id=patch_4><path style=fill:none; d="M 69.05 246.459068 L 69.05 10.8 "/></g><g id=patch_5><path style=fill:none; d="M 421.2 246.459068 L 421.2 10.8 "/></g><g id=patch_6><path style=fill:none; d="M 69.05 246.459068 L 421.2 246.459068 "/></g><g id=patch_7><path style=fill:none; d="M 69.05 10.8 L 421.2 10.8 "/></g></g></g><defs><clippath id=p5615c97392><rect height=235.659068 width=352.15 x=69.05 y=10.8 /></clippath></defs></svg><div class="caption text-center text-muted"> Histogram of lengths of the category </div></div><div class=col-sm-6><p class=h4>Length</p><table class="table table-condensed stats"><tbody><tr><th>Max length</th><td>20</td></tr><tr><th>Median length</th><td>20</td></tr><tr><th>Mean length</th><td>20</td></tr><tr><th>Min length</th><td>20</td></tr></tbody></table></div></div></div></div></div></div></div><div class="row spacing"><a class="anchor-pos anchor-pos-variable" id=pp_var_-8448085800299455></a><div class=variable><div class=col-sm-3><p class=h4 title=dep_delay_true><a href=#pp_var_-8448085800299455>dep_delay_true</a><br><small>Boolean</small></p><p class=variable-description></p></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Distinct</th><td>2</td></tr><tr><th>Distinct (%)</th><td>< 0.1%</td></tr><tr><th>Missing</th><td>0</td></tr><tr><th>Missing (%)</th><td>0.0%</td></tr><tr><th>Memory size</th><td>109.8 KiB</td></tr></tbody></table></div><div class=col-sm-6><div class="col-sm- collapse in" id=minifreqtable><table class="mini freq"><tr class><th width=50%> False </th><td width=50%><div class=bar style=width:100.0% data-toggle=tooltip data-placement=right data-html=true data-delay=500> 85434  </div></td></tr><tr class><th width=50%> True </th><td width=50%><div class=bar style=width:31.6% data-toggle=tooltip data-placement=right data-html=true data-delay=500> 27013  </div></td></tr></table></div></div><div class="col-sm-12 text-right"><button class="btn btn-default btn-sm" data-toggle=collapse data-target="#bottom–8448085800299455, #minifreqtable-8448085800299455" aria-expanded=true aria-controls=collapseExample>Toggle details</button></div><div id=bottom–8448085800299455 class=collapse><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#-8448085800299455bottom–8448085800299455frequency_table aria-controls=-8448085800299455bottom–8448085800299455frequency_table role=tab data-toggle=tab>Common Values</a></li><li role=presentation><a href=#-8448085800299455bottom–8448085800299455pie_chart aria-controls=-8448085800299455bottom–8448085800299455pie_chart role=tab data-toggle=tab>Chart</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=-8448085800299455bottom–8448085800299455frequency_table><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=False>False</td><td>85434</td><td>76.0%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=True>True</td><td>27013</td><td>24.0%</td><td><div class=bar style=width:31.6%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=-8448085800299455bottom–8448085800299455pie_chart><?xml version="1.0" encoding="utf-8" standalone="no"?><!DOCTYPE svg class="img-responsive center-img"PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg class="img-responsive center-img" height=396pt version=1.1 viewbox="0 0 576 396" width=576pt xmlns=http://www.w3.org/2000/svg xmlns:xlink=http://www.w3.org/1999/xlink><metadata><rdf:rdf xmlns:cc=http://creativecommons.org/ns# xmlns:dc=http://purl.org/dc/elements/1.1/ xmlns:rdf=http://www.w3.org/1999/02/22-rdf-syntax-ns#><cc:work><dc:type rdf:resource=http://purl.org/dc/dcmitype/StillImage 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class=variable-description></p></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Distinct</th><td>49</td></tr><tr><th>Distinct (%)</th><td>< 0.1%</td></tr><tr><th>Missing</th><td>0</td></tr><tr><th>Missing (%)</th><td>0.0%</td></tr><tr><th>Infinite</th><td>0</td></tr><tr><th>Infinite (%)</th><td>0.0%</td></tr></tbody></table></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Mean</th><td>181.7354843</td></tr><tr><th>Minimum</th><td>0</td></tr><tr><th>Maximum</th><td>360</td></tr><tr class=alert><th>Zeros</th><td>6818</td></tr><tr class=alert><th>Zeros (%)</th><td>6.1%</td></tr><tr><th>Memory size</th><td>878.5 KiB</td></tr></tbody></table></div><div class=col-sm-3><?xml version="1.0" encoding="utf-8" standalone="no"?><!DOCTYPE svg class="img-responsive center-img"PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg class="img-responsive center-img" height=162pt version=1.1 viewbox="0 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81.465303 z "/></g><g id=patch_52><path style=fill:none; d="M 10.8 126.911418 L 10.8 10.8 "/></g><g id=patch_53><path style=fill:none; d="M 205.2 126.911418 L 205.2 10.8 "/></g><g id=patch_54><path style=fill:none; d="M 10.8 126.911418 L 205.2 126.911418 "/></g><g id=patch_55><path style=fill:none; d="M 10.8 10.8 L 205.2 10.8 "/></g></g></g><defs><clippath id=pada06073b0><rect height=116.111418 width=194.4 x=10.8 y=10.8 /></clippath></defs></svg></div><div class="col-sm-12 text-right"><button class="btn btn-default btn-sm" data-toggle=collapse data-target="#bottom-3105748594939430141, #minifreqtable3105748594939430141" aria-expanded=true aria-controls=collapseExample>Toggle details</button></div><div id=bottom-3105748594939430141 class=collapse><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#3105748594939430141bottom-3105748594939430141statistics aria-controls=3105748594939430141bottom-3105748594939430141statistics role=tab data-toggle=tab>Statistics</a></li><li role=presentation><a href=#3105748594939430141bottom-3105748594939430141histogram aria-controls=3105748594939430141bottom-3105748594939430141histogram role=tab data-toggle=tab>Histogram</a></li><li role=presentation><a href=#3105748594939430141bottom-3105748594939430141common_values aria-controls=3105748594939430141bottom-3105748594939430141common_values role=tab data-toggle=tab>Common values</a></li><li role=presentation><a href=#3105748594939430141bottom-3105748594939430141extreme_values aria-controls=3105748594939430141bottom-3105748594939430141extreme_values role=tab data-toggle=tab>Extreme values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=3105748594939430141bottom-3105748594939430141statistics><div class=col-sm-6><p class=h4>Quantile statistics</p><table class="table table-condensed stats"><tbody><tr><th>Minimum</th><td>0</td></tr><tr><th>5-th percentile</th><td>0</td></tr><tr><th>Q1</th><td>70</td></tr><tr><th>median</th><td>220</td></tr><tr><th>Q3</th><td>270</td></tr><tr><th>95-th percentile</th><td>340</td></tr><tr><th>Maximum</th><td>360</td></tr><tr><th>Range</th><td>360</td></tr><tr><th>Interquartile range (IQR)</th><td>200</td></tr></tbody></table></div><div class=col-sm-6><p class=h4>Descriptive statistics</p><table class="table table-condensed stats"><tbody><tr><th>Standard deviation</th><td>113.4183901</td></tr><tr><th>Coefficient of variation (CV)</th><td>0.6240850022</td></tr><tr><th>Kurtosis</th><td>-1.272228202</td></tr><tr><th>Mean</th><td>181.7354843</td></tr><tr><th>Median Absolute Deviation (MAD)</th><td>80</td></tr><tr><th>Skewness</th><td>-0.2880667132</td></tr><tr><th>Sum</th><td>20435610</td></tr><tr><th>Variance</th><td>12863.73122</td></tr><tr><th>Monotocity</th><td>Not monotonic</td></tr></tbody></table></div></div><div role=tabpanel class="tab-pane col-sm-12" 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(%)</td><td> </td></tr></thead><tbody><tr class><td title=0>0</td><td>6818</td><td>6.1%</td><td><div class=bar style=width:11.3%> </div></td></tr><tr class><td title=20>20</td><td>6472</td><td>5.8%</td><td><div class=bar style=width:10.7%> </div></td></tr><tr class><td title=230>230</td><td>5582</td><td>5.0%</td><td><div class=bar style=width:9.2%> </div></td></tr><tr class><td title=260>260</td><td>5219</td><td>4.6%</td><td><div class=bar style=width:8.6%> </div></td></tr><tr class><td title=10>10</td><td>5061</td><td>4.5%</td><td><div class=bar style=width:8.4%> </div></td></tr><tr class><td title=220>220</td><td>5038</td><td>4.5%</td><td><div class=bar style=width:8.3%> </div></td></tr><tr class><td title=250>250</td><td>4702</td><td>4.2%</td><td><div class=bar style=width:7.8%> </div></td></tr><tr class><td title=240>240</td><td>4594</td><td>4.1%</td><td><div class=bar style=width:7.6%> </div></td></tr><tr class><td title=270>270</td><td>4253</td><td>3.8%</td><td><div class=bar style=width:7.0%> </div></td></tr><tr class><td title=280>280</td><td>4241</td><td>3.8%</td><td><div class=bar style=width:7.0%> </div></td></tr><tr class=other><td title="Other values (39)">Other values (39)</td><td>60467</td><td>53.8%</td><td><div class=bar style=width:100.0%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=3105748594939430141bottom-3105748594939430141extreme_values><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#3105748594939430141extreme_values-3105748594939430141firstn aria-controls=3105748594939430141extreme_values-3105748594939430141firstn role=tab data-toggle=tab>Minimum 5 values</a></li><li role=presentation><a href=#3105748594939430141extreme_values-3105748594939430141lastn aria-controls=3105748594939430141extreme_values-3105748594939430141lastn role=tab data-toggle=tab>Maximum 5 values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=3105748594939430141extreme_values-3105748594939430141firstn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=0>0</td><td>6818</td><td>6.1%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=10>10</td><td>5061</td><td>4.5%</td><td><div class=bar style=width:74.2%> </div></td></tr><tr class><td title=20>20</td><td>6472</td><td>5.8%</td><td><div class=bar style=width:94.9%> </div></td></tr><tr class><td title=30>30</td><td>3594</td><td>3.2%</td><td><div class=bar style=width:52.7%> </div></td></tr><tr class><td title=40>40</td><td>2425</td><td>2.2%</td><td><div class=bar style=width:35.6%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=3105748594939430141extreme_values-3105748594939430141lastn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=360>360</td><td>2802</td><td>2.5%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=350>350</td><td>2208</td><td>2.0%</td><td><div class=bar style=width:78.8%> </div></td></tr><tr class><td title=345>345</td><td>5</td><td>< 0.1%</td><td><div class=bar style=width:0.2%> </div></td></tr><tr class><td title=340>340</td><td>2383</td><td>2.1%</td><td><div class=bar style=width:85.0%> </div></td></tr><tr class><td title=330>330</td><td>2436</td><td>2.2%</td><td><div class=bar style=width:86.9%> </div></td></tr></tbody></table></div></div></div></div></div></div></div></div></div><div class="row spacing"><a class="anchor-pos anchor-pos-variable" id=pp_var_2492398362418197901></a><div class=variable><div class=col-sm-3><p class=h4 title=wind_speed><a href=#pp_var_2492398362418197901>wind_speed</a><br><small>Real number (&Ropf;<sub>≥0</sub>)</small></p><code><abbr title="This variable has a high correlation with 1 fields: wind_gust">HIGH CORRELATION</abbr></code><br><code>ZEROS</code><br><p class=variable-description></p></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Distinct</th><td>166</td></tr><tr><th>Distinct (%)</th><td>0.1%</td></tr><tr><th>Missing</th><td>0</td></tr><tr><th>Missing (%)</th><td>0.0%</td></tr><tr><th>Infinite</th><td>0</td></tr><tr><th>Infinite (%)</th><td>0.0%</td></tr></tbody></table></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Mean</th><td>9.102126358</td></tr><tr><th>Minimum</th><td>0</td></tr><tr><th>Maximum</th><td>39.12652</td></tr><tr class=alert><th>Zeros</th><td>6818</td></tr><tr class=alert><th>Zeros (%)</th><td>6.1%</td></tr><tr><th>Memory size</th><td>878.5 KiB</td></tr></tbody></table></div><div class=col-sm-3><?xml version="1.0" encoding="utf-8" standalone="no"?><!DOCTYPE svg 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204.108407 130.093398 L 204.108407 10.8 "/></g><g id=patch_55><path style=fill:none; d="M 10.8 130.093398 L 204.108407 130.093398 "/></g><g id=patch_56><path style=fill:none; d="M 10.8 10.8 L 204.108407 10.8 "/></g></g></g><defs><clippath id=p1fd2c944d1><rect height=119.293398 width=193.308407 x=10.8 y=10.8 /></clippath></defs></svg></div><div class="col-sm-12 text-right"><button class="btn btn-default btn-sm" data-toggle=collapse data-target="#bottom-2492398362418197901, #minifreqtable2492398362418197901" aria-expanded=true aria-controls=collapseExample>Toggle details</button></div><div id=bottom-2492398362418197901 class=collapse><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#2492398362418197901bottom-2492398362418197901statistics aria-controls=2492398362418197901bottom-2492398362418197901statistics role=tab data-toggle=tab>Statistics</a></li><li role=presentation><a href=#2492398362418197901bottom-2492398362418197901histogram aria-controls=2492398362418197901bottom-2492398362418197901histogram role=tab data-toggle=tab>Histogram</a></li><li role=presentation><a href=#2492398362418197901bottom-2492398362418197901common_values aria-controls=2492398362418197901bottom-2492398362418197901common_values role=tab data-toggle=tab>Common values</a></li><li role=presentation><a href=#2492398362418197901bottom-2492398362418197901extreme_values aria-controls=2492398362418197901bottom-2492398362418197901extreme_values role=tab data-toggle=tab>Extreme values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=2492398362418197901bottom-2492398362418197901statistics><div class=col-sm-6><p class=h4>Quantile statistics</p><table class="table table-condensed stats"><tbody><tr><th>Minimum</th><td>0</td></tr><tr><th>5-th percentile</th><td>0</td></tr><tr><th>Q1</th><td>5.7539</td></tr><tr><th>median</th><td>9.20624</td></tr><tr><th>Q3</th><td>12.65858</td></tr><tr><th>95-th percentile</th><td>17.2617</td></tr><tr><th>Maximum</th><td>39.12652</td></tr><tr><th>Range</th><td>39.12652</td></tr><tr><th>Interquartile range (IQR)</th><td>6.90468</td></tr></tbody></table></div><div class=col-sm-6><p class=h4>Descriptive statistics</p><table class="table table-condensed stats"><tbody><tr><th>Standard deviation</th><td>4.782368225</td></tr><tr><th>Coefficient of variation (CV)</th><td>0.525412199</td></tr><tr><th>Kurtosis</th><td>0.116257864</td></tr><tr><th>Mean</th><td>9.102126358</td></tr><tr><th>Median Absolute Deviation (MAD)</th><td>3.45234</td></tr><tr><th>Skewness</th><td>0.3411067179</td></tr><tr><th>Sum</th><td>1023506.803</td></tr><tr><th>Variance</th><td>22.87104584</td></tr><tr><th>Monotocity</th><td>Not monotonic</td></tr></tbody></table></div></div><div role=tabpanel class="tab-pane col-sm-12" 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class="tab-pane col-sm-12" id=2492398362418197901bottom-2492398362418197901common_values><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=5.7539>5.7539</td><td>10438</td><td>9.3%</td><td><div class=bar style=width:39.0%> </div></td></tr><tr class><td title=6.90468>6.90468</td><td>10251</td><td>9.1%</td><td><div class=bar style=width:38.3%> </div></td></tr><tr class><td title=8.05546>8.05546</td><td>10238</td><td>9.1%</td><td><div class=bar style=width:38.2%> </div></td></tr><tr class><td title=9.20624>9.20624</td><td>9764</td><td>8.7%</td><td><div class=bar style=width:36.4%> </div></td></tr><tr class><td title=4.60312>4.60312</td><td>9253</td><td>8.2%</td><td><div class=bar style=width:34.5%> </div></td></tr><tr class><td title=10.35702>10.35702</td><td>7905</td><td>7.0%</td><td><div class=bar style=width:29.5%> </div></td></tr><tr class><td title=11.5078>11.5078</td><td>7611</td><td>6.8%</td><td><div class=bar style=width:28.4%> </div></td></tr><tr class><td title=3.45234>3.45234</td><td>7057</td><td>6.3%</td><td><div class=bar style=width:26.3%> </div></td></tr><tr class><td title=0>0</td><td>6818</td><td>6.1%</td><td><div class=bar style=width:25.4%> </div></td></tr><tr class><td title=12.65858>12.65858</td><td>6321</td><td>5.6%</td><td><div class=bar style=width:23.6%> </div></td></tr><tr class=other><td title="Other values (156)">Other values (156)</td><td>26791</td><td>23.8%</td><td><div class=bar style=width:100.0%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=2492398362418197901bottom-2492398362418197901extreme_values><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#2492398362418197901extreme_values-2492398362418197901firstn aria-controls=2492398362418197901extreme_values-2492398362418197901firstn role=tab data-toggle=tab>Minimum 5 values</a></li><li role=presentation><a href=#2492398362418197901extreme_values-2492398362418197901lastn aria-controls=2492398362418197901extreme_values-2492398362418197901lastn role=tab data-toggle=tab>Maximum 5 values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=2492398362418197901extreme_values-2492398362418197901firstn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=0>0</td><td>6818</td><td>6.1%</td><td><div class=bar style=width:73.7%> </div></td></tr><tr class><td title=3.45234>3.45234</td><td>7057</td><td>6.3%</td><td><div class=bar style=width:76.3%> </div></td></tr><tr class><td title=4.48>4.48</td><td>64</td><td>0.1%</td><td><div class=bar style=width:0.7%> </div></td></tr><tr class><td title=4.60312>4.60312</td><td>9253</td><td>8.2%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=4.7>4.7</td><td>19</td><td>< 0.1%</td><td><div class=bar style=width:0.2%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=2492398362418197901extreme_values-2492398362418197901lastn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=39.12652>39.12652</td><td>9</td><td>< 0.1%</td><td><div class=bar style=width:5.7%> </div></td></tr><tr class><td title=29.92028>29.92028</td><td>13</td><td>< 0.1%</td><td><div class=bar style=width:8.3%> </div></td></tr><tr class><td title=26.46794>26.46794</td><td>54</td><td>< 0.1%</td><td><div class=bar style=width:34.4%> </div></td></tr><tr class><td title=25.31716>25.31716</td><td>99</td><td>0.1%</td><td><div class=bar style=width:63.1%> </div></td></tr><tr class><td title=24.16638>24.16638</td><td>157</td><td>0.1%</td><td><div class=bar style=width:100.0%> </div></td></tr></tbody></table></div></div></div></div></div></div></div></div></div><div class="row spacing"><a class="anchor-pos anchor-pos-variable" id=pp_var_382641393491675424></a><div class=variable><div class=col-sm-3><p class=h4 title=wind_gust><a href=#pp_var_382641393491675424>wind_gust</a><br><small>Real number (&Ropf;<sub>≥0</sub>)</small></p><code><abbr title="This variable has a high correlation with 1 fields: wind_speed">HIGH CORRELATION</abbr></code><br><code>ZEROS</code><br><p class=variable-description></p></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Distinct</th><td>170</td></tr><tr><th>Distinct (%)</th><td>0.2%</td></tr><tr><th>Missing</th><td>0</td></tr><tr><th>Missing (%)</th><td>0.0%</td></tr><tr><th>Infinite</th><td>0</td></tr><tr><th>Infinite (%)</th><td>0.0%</td></tr></tbody></table></div><div class=col-sm-3><table class="table table-condensed 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details</button></div><div id=bottom-382641393491675424 class=collapse><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#382641393491675424bottom-382641393491675424statistics aria-controls=382641393491675424bottom-382641393491675424statistics role=tab data-toggle=tab>Statistics</a></li><li role=presentation><a href=#382641393491675424bottom-382641393491675424histogram aria-controls=382641393491675424bottom-382641393491675424histogram role=tab data-toggle=tab>Histogram</a></li><li role=presentation><a href=#382641393491675424bottom-382641393491675424common_values aria-controls=382641393491675424bottom-382641393491675424common_values role=tab data-toggle=tab>Common values</a></li><li role=presentation><a href=#382641393491675424bottom-382641393491675424extreme_values aria-controls=382641393491675424bottom-382641393491675424extreme_values role=tab data-toggle=tab>Extreme values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=382641393491675424bottom-382641393491675424statistics><div class=col-sm-6><p class=h4>Quantile statistics</p><table class="table table-condensed stats"><tbody><tr><th>Minimum</th><td>0</td></tr><tr><th>5-th percentile</th><td>0</td></tr><tr><th>Q1</th><td>6.621473042</td></tr><tr><th>median</th><td>10.59435687</td></tr><tr><th>Q3</th><td>14.56724069</td></tr><tr><th>95-th percentile</th><td>19.86441913</td></tr><tr><th>Maximum</th><td>45.02601669</td></tr><tr><th>Range</th><td>45.02601669</td></tr><tr><th>Interquartile range (IQR)</th><td>7.94576765</td></tr></tbody></table></div><div class=col-sm-6><p class=h4>Descriptive statistics</p><table class="table table-condensed stats"><tbody><tr><th>Standard deviation</th><td>5.503436662</td></tr><tr><th>Coefficient of variation (CV)</th><td>0.5254122434</td></tr><tr><th>Kurtosis</th><td>0.1162985678</td></tr><tr><th>Mean</th><td>10.47451164</td></tr><tr><th>Median Absolute Deviation 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398.4325 252.381088 L 398.4325 252.381088 L 391.9275 252.381088 z "/></g><g id=patch_52><path clip-path=url(#pf4ef513070) style=fill:#337ab7;stroke:#ffffff;stroke-linejoin:miter;stroke-width:0.3; d="M 398.4325 252.381088 L 404.9375 252.381088 L 404.9375 252.189799 L 398.4325 252.189799 z "/></g><g id=patch_53><path style=fill:none; d="M 63.425 252.381088 L 63.425 10.8 "/></g><g id=patch_54><path style=fill:none; d="M 421.2 252.381088 L 421.2 10.8 "/></g><g id=patch_55><path style=fill:none; d="M 63.425 252.381088 L 421.2 252.381088 "/></g><g id=patch_56><path style=fill:none; d="M 63.425 10.8 L 421.2 10.8 "/></g></g></g><defs><clippath id=pf4ef513070><rect height=241.581088 width=357.775 x=63.425 y=10.8 /></clippath></defs></svg><div class="caption text-center text-muted"><strong>Histogram with fixed size bins</strong> (bins=50) </div></div><div role=tabpanel class="tab-pane col-sm-12" id=382641393491675424bottom-382641393491675424common_values><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=6.621473042>6.621473042</td><td>10438</td><td>9.3%</td><td><div class=bar style=width:39.0%> </div></td></tr><tr class><td title=7.94576765>7.94576765</td><td>10251</td><td>9.1%</td><td><div class=bar style=width:38.3%> </div></td></tr><tr class><td title=9.270062259>9.270062259</td><td>10238</td><td>9.1%</td><td><div class=bar style=width:38.2%> </div></td></tr><tr class><td title=10.59435687>10.59435687</td><td>9764</td><td>8.7%</td><td><div class=bar style=width:36.4%> </div></td></tr><tr class><td title=5.297178434>5.297178434</td><td>9253</td><td>8.2%</td><td><div class=bar style=width:34.5%> </div></td></tr><tr class><td title=11.91865148>11.91865148</td><td>7905</td><td>7.0%</td><td><div class=bar style=width:29.5%> </div></td></tr><tr class><td title=13.24294608>13.24294608</td><td>7611</td><td>6.8%</td><td><div class=bar style=width:28.4%> </div></td></tr><tr class><td title=3.972883825>3.972883825</td><td>7057</td><td>6.3%</td><td><div class=bar style=width:26.3%> </div></td></tr><tr class><td title=0>0</td><td>6818</td><td>6.1%</td><td><div class=bar style=width:25.4%> </div></td></tr><tr class><td title=14.56724069>14.56724069</td><td>6321</td><td>5.6%</td><td><div class=bar style=width:23.6%> </div></td></tr><tr class=other><td title="Other values (160)">Other values (160)</td><td>26791</td><td>23.8%</td><td><div class=bar style=width:100.0%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=382641393491675424bottom-382641393491675424extreme_values><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#382641393491675424extreme_values-382641393491675424firstn aria-controls=382641393491675424extreme_values-382641393491675424firstn role=tab data-toggle=tab>Minimum 5 values</a></li><li role=presentation><a href=#382641393491675424extreme_values-382641393491675424lastn aria-controls=382641393491675424extreme_values-382641393491675424lastn role=tab data-toggle=tab>Maximum 5 values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=382641393491675424extreme_values-382641393491675424firstn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=0>0</td><td>6818</td><td>6.1%</td><td><div class=bar style=width:73.7%> </div></td></tr><tr class><td title=3.972883825>3.972883825</td><td>7057</td><td>6.3%</td><td><div class=bar style=width:76.3%> </div></td></tr><tr class><td title=5.16>5.16</td><td>64</td><td>0.1%</td><td><div class=bar style=width:0.7%> </div></td></tr><tr class><td title=5.297178434>5.297178434</td><td>9253</td><td>8.2%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=5.41>5.41</td><td>19</td><td>< 0.1%</td><td><div class=bar style=width:0.2%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=382641393491675424extreme_values-382641393491675424lastn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=45.02601669>45.02601669</td><td>9</td><td>< 0.1%</td><td><div class=bar style=width:5.7%> </div></td></tr><tr class><td title=34.43165982>34.43165982</td><td>13</td><td>< 0.1%</td><td><div class=bar style=width:8.3%> </div></td></tr><tr class><td title=30.45877599>30.45877599</td><td>54</td><td>< 0.1%</td><td><div class=bar style=width:34.4%> </div></td></tr><tr class><td title=29.13448138>29.13448138</td><td>99</td><td>0.1%</td><td><div class=bar style=width:63.1%> </div></td></tr><tr class><td title=27.81018678>27.81018678</td><td>157</td><td>0.1%</td><td><div class=bar style=width:100.0%> </div></td></tr></tbody></table></div></div></div></div></div></div></div></div></div><div class="row spacing"><a class="anchor-pos anchor-pos-variable" id=pp_var_411295583924033732></a><div class=variable><div class=col-sm-3><p class=h4 title=visib><a href=#pp_var_411295583924033732>visib</a><br><small>Real number (&Ropf;<sub>≥0</sub>)</small></p><p class=variable-description></p></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Distinct</th><td>20</td></tr><tr><th>Distinct (%)</th><td>< 0.1%</td></tr><tr><th>Missing</th><td>0</td></tr><tr><th>Missing (%)</th><td>0.0%</td></tr><tr><th>Infinite</th><td>0</td></tr><tr><th>Infinite (%)</th><td>0.0%</td></tr></tbody></table></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Mean</th><td>9.346308483</td></tr><tr><th>Minimum</th><td>0.13</td></tr><tr><th>Maximum</th><td>10</td></tr><tr><th>Zeros</th><td>0</td></tr><tr><th>Zeros 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"/></g></g></g><defs><clippath id=p3ab6649bee><rect height=114.520428 width=193.825178 x=11.294126 y=10.8 /></clippath></defs></svg></div><div class="col-sm-12 text-right"><button class="btn btn-default btn-sm" data-toggle=collapse data-target="#bottom-411295583924033732, #minifreqtable411295583924033732" aria-expanded=true aria-controls=collapseExample>Toggle details</button></div><div id=bottom-411295583924033732 class=collapse><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#411295583924033732bottom-411295583924033732statistics aria-controls=411295583924033732bottom-411295583924033732statistics role=tab data-toggle=tab>Statistics</a></li><li role=presentation><a href=#411295583924033732bottom-411295583924033732histogram aria-controls=411295583924033732bottom-411295583924033732histogram role=tab data-toggle=tab>Histogram</a></li><li role=presentation><a href=#411295583924033732bottom-411295583924033732common_values aria-controls=411295583924033732bottom-411295583924033732common_values role=tab data-toggle=tab>Common values</a></li><li role=presentation><a href=#411295583924033732bottom-411295583924033732extreme_values aria-controls=411295583924033732bottom-411295583924033732extreme_values role=tab data-toggle=tab>Extreme values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=411295583924033732bottom-411295583924033732statistics><div class=col-sm-6><p class=h4>Quantile statistics</p><table class="table table-condensed stats"><tbody><tr><th>Minimum</th><td>0.13</td></tr><tr><th>5-th percentile</th><td>4</td></tr><tr><th>Q1</th><td>10</td></tr><tr><th>median</th><td>10</td></tr><tr><th>Q3</th><td>10</td></tr><tr><th>95-th percentile</th><td>10</td></tr><tr><th>Maximum</th><td>10</td></tr><tr><th>Range</th><td>9.87</td></tr><tr><th>Interquartile range (IQR)</th><td>0</td></tr></tbody></table></div><div class=col-sm-6><p class=h4>Descriptive statistics</p><table class="table table-condensed stats"><tbody><tr><th>Standard deviation</th><td>1.883828147</td></tr><tr><th>Coefficient of variation (CV)</th><td>0.2015585244</td></tr><tr><th>Kurtosis</th><td>8.406241873</td></tr><tr><th>Mean</th><td>9.346308483</td></tr><tr><th>Median Absolute Deviation (MAD)</th><td>0</td></tr><tr><th>Skewness</th><td>-3.047656759</td></tr><tr><th>Sum</th><td>1050964.35</td></tr><tr><th>Variance</th><td>3.548808486</td></tr><tr><th>Monotocity</th><td>Not monotonic</td></tr></tbody></table></div></div><div role=tabpanel class="tab-pane col-sm-12" id=411295583924033732bottom-411295583924033732histogram><?xml version="1.0" encoding="utf-8" standalone="no"?><!DOCTYPE svg class="img-responsive center-img"PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg class="img-responsive center-img" height=288pt version=1.1 viewbox="0 0 432 288" width=432pt xmlns=http://www.w3.org/2000/svg 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389.186364 23.308999 z "/></g><g id=patch_23><path style=fill:none; d="M 69.05 252.381088 L 69.05 11.855395 "/></g><g id=patch_24><path style=fill:none; d="M 421.2 252.381088 L 421.2 11.855395 "/></g><g id=patch_25><path style=fill:none; d="M 69.05 252.381088 L 421.2 252.381088 "/></g><g id=patch_26><path style=fill:none; d="M 69.05 11.855395 L 421.2 11.855395 "/></g></g></g><defs><clippath id=p3f05296dc5><rect height=240.525693 width=352.15 x=69.05 y=11.855395 /></clippath></defs></svg><div class="caption text-center text-muted"><strong>Histogram with fixed size bins</strong> (bins=20) </div></div><div role=tabpanel class="tab-pane col-sm-12" id=411295583924033732bottom-411295583924033732common_values><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=10>10</td><td>96321</td><td>85.7%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=9>9</td><td>2923</td><td>2.6%</td><td><div class=bar style=width:3.0%> </div></td></tr><tr class><td title=4>4</td><td>2145</td><td>1.9%</td><td><div class=bar style=width:2.2%> </div></td></tr><tr class><td title=8>8</td><td>1980</td><td>1.8%</td><td><div class=bar style=width:2.1%> </div></td></tr><tr class><td title=5>5</td><td>1797</td><td>1.6%</td><td><div class=bar style=width:1.9%> </div></td></tr><tr class><td title=6>6</td><td>1764</td><td>1.6%</td><td><div class=bar style=width:1.8%> </div></td></tr><tr class><td title=7>7</td><td>1288</td><td>1.1%</td><td><div class=bar style=width:1.3%> </div></td></tr><tr class><td title=3>3</td><td>1268</td><td>1.1%</td><td><div class=bar style=width:1.3%> </div></td></tr><tr class><td title=2>2</td><td>655</td><td>0.6%</td><td><div class=bar style=width:0.7%> </div></td></tr><tr class><td title=2.5>2.5</td><td>581</td><td>0.5%</td><td><div class=bar style=width:0.6%> </div></td></tr><tr class=other><td title="Other values (10)">Other values (10)</td><td>1725</td><td>1.5%</td><td><div class=bar style=width:1.8%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=411295583924033732bottom-411295583924033732extreme_values><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#411295583924033732extreme_values-411295583924033732firstn aria-controls=411295583924033732extreme_values-411295583924033732firstn role=tab data-toggle=tab>Minimum 5 values</a></li><li role=presentation><a href=#411295583924033732extreme_values-411295583924033732lastn aria-controls=411295583924033732extreme_values-411295583924033732lastn role=tab data-toggle=tab>Maximum 5 values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=411295583924033732extreme_values-411295583924033732firstn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=0.13>0.13</td><td>7</td><td>< 0.1%</td><td><div class=bar style=width:2.2%> </div></td></tr><tr class><td title=0.24>0.24</td><td>6</td><td>< 0.1%</td><td><div class=bar style=width:1.9%> </div></td></tr><tr class><td title=0.25>0.25</td><td>68</td><td>0.1%</td><td><div class=bar style=width:21.7%> </div></td></tr><tr class><td title=0.5>0.5</td><td>313</td><td>0.3%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=0.75>0.75</td><td>259</td><td>0.2%</td><td><div class=bar style=width:82.7%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=411295583924033732extreme_values-411295583924033732lastn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=10>10</td><td>96321</td><td>85.7%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=9>9</td><td>2923</td><td>2.6%</td><td><div class=bar style=width:3.0%> </div></td></tr><tr class><td title=8>8</td><td>1980</td><td>1.8%</td><td><div class=bar style=width:2.1%> </div></td></tr><tr class><td title=7>7</td><td>1288</td><td>1.1%</td><td><div class=bar style=width:1.3%> </div></td></tr><tr class><td title=6>6</td><td>1764</td><td>1.6%</td><td><div class=bar style=width:1.8%> </div></td></tr></tbody></table></div></div></div></div></div></div></div></div></div><div class="row spacing"><a class="anchor-pos anchor-pos-variable" id=pp_var_-5083171276244515596></a><div class=variable><div class=col-sm-3><p class=h4 title=temp_max><a href=#pp_var_-5083171276244515596>temp_max</a><br><small>Real number (&Ropf;<sub>≥0</sub>)</small></p><code><abbr title="This variable has a high correlation with 2 fields: temp_min, temp_ave">HIGH CORRELATION</abbr></code><br><p class=variable-description></p></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Distinct</th><td>74</td></tr><tr><th>Distinct (%)</th><td>0.1%</td></tr><tr><th>Missing</th><td>0</td></tr><tr><th>Missing (%)</th><td>0.0%</td></tr><tr><th>Infinite</th><td>0</td></tr><tr><th>Infinite (%)</th><td>0.0%</td></tr></tbody></table></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Mean</th><td>65.2802209</td></tr><tr><th>Minimum</th><td>20</td></tr><tr><th>Maximum</th><td>99</td></tr><tr><th>Zeros</th><td>0</td></tr><tr><th>Zeros (%)</th><td>0.0%</td></tr><tr><th>Memory size</th><td>878.5 KiB</td></tr></tbody></table></div><div class=col-sm-3><?xml version="1.0" encoding="utf-8" standalone="no"?><!DOCTYPE svg class="img-responsive center-img"PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg class="img-responsive center-img" height=162pt version=1.1 viewbox="0 0 216 162" width=216pt xmlns=http://www.w3.org/2000/svg xmlns:xlink=http://www.w3.org/1999/xlink><metadata><rdf:rdf 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115.056909 z "/></g><g id=patch_53><path style=fill:none; d="M 10.8 126.911418 L 10.8 10.8 "/></g><g id=patch_54><path style=fill:none; d="M 203.988448 126.911418 L 203.988448 10.8 "/></g><g id=patch_55><path style=fill:none; d="M 10.8 126.911418 L 203.988448 126.911418 "/></g><g id=patch_56><path style=fill:none; d="M 10.8 10.8 L 203.988448 10.8 "/></g></g></g><defs><clippath id=p70b0c0ea35><rect height=116.111418 width=193.188448 x=10.8 y=10.8 /></clippath></defs></svg></div><div class="col-sm-12 text-right"><button class="btn btn-default btn-sm" data-toggle=collapse data-target="#bottom–5083171276244515596, #minifreqtable-5083171276244515596" aria-expanded=true aria-controls=collapseExample>Toggle details</button></div><div id=bottom–5083171276244515596 class=collapse><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#-5083171276244515596bottom–5083171276244515596statistics aria-controls=-5083171276244515596bottom–5083171276244515596statistics role=tab data-toggle=tab>Statistics</a></li><li role=presentation><a href=#-5083171276244515596bottom–5083171276244515596histogram aria-controls=-5083171276244515596bottom–5083171276244515596histogram role=tab data-toggle=tab>Histogram</a></li><li role=presentation><a href=#-5083171276244515596bottom–5083171276244515596common_values aria-controls=-5083171276244515596bottom–5083171276244515596common_values role=tab data-toggle=tab>Common values</a></li><li role=presentation><a href=#-5083171276244515596bottom–5083171276244515596extreme_values aria-controls=-5083171276244515596bottom–5083171276244515596extreme_values role=tab data-toggle=tab>Extreme values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=-5083171276244515596bottom–5083171276244515596statistics><div class=col-sm-6><p class=h4>Quantile statistics</p><table class="table table-condensed stats"><tbody><tr><th>Minimum</th><td>20</td></tr><tr><th>5-th percentile</th><td>34</td></tr><tr><th>Q1</th><td>50</td></tr><tr><th>median</th><td>67</td></tr><tr><th>Q3</th><td>81</td></tr><tr><th>95-th percentile</th><td>91</td></tr><tr><th>Maximum</th><td>99</td></tr><tr><th>Range</th><td>79</td></tr><tr><th>Interquartile range (IQR)</th><td>31</td></tr></tbody></table></div><div class=col-sm-6><p class=h4>Descriptive statistics</p><table class="table table-condensed stats"><tbody><tr><th>Standard deviation</th><td>17.80699714</td></tr><tr><th>Coefficient of variation (CV)</th><td>0.2727778321</td></tr><tr><th>Kurtosis</th><td>-0.8393453178</td></tr><tr><th>Mean</th><td>65.2802209</td></tr><tr><th>Median Absolute Deviation (MAD)</th><td>15</td></tr><tr><th>Skewness</th><td>-0.3038400828</td></tr><tr><th>Sum</th><td>7340565</td></tr><tr><th>Variance</th><td>317.0891471</td></tr><tr><th>Monotocity</th><td>Not monotonic</td></tr></tbody></table></div></div><div role=tabpanel 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height=237.603612 width=363.4 x=57.8 y=10.8 /></clippath></defs></svg><div class="caption text-center text-muted"><strong>Histogram with fixed size bins</strong> (bins=50) </div></div><div role=tabpanel class="tab-pane col-sm-12" id=-5083171276244515596bottom–5083171276244515596common_values><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=50>50</td><td>3732</td><td>3.3%</td><td><div class=bar style=width:4.6%> </div></td></tr><tr class><td title=81>81</td><td>3520</td><td>3.1%</td><td><div class=bar style=width:4.3%> </div></td></tr><tr class><td title=84>84</td><td>3299</td><td>2.9%</td><td><div class=bar style=width:4.1%> </div></td></tr><tr class><td title=87>87</td><td>3239</td><td>2.9%</td><td><div class=bar style=width:4.0%> </div></td></tr><tr class><td title=85>85</td><td>3164</td><td>2.8%</td><td><div class=bar style=width:3.9%> </div></td></tr><tr class><td title=70>70</td><td>2923</td><td>2.6%</td><td><div class=bar style=width:3.6%> </div></td></tr><tr class><td title=62>62</td><td>2897</td><td>2.6%</td><td><div class=bar style=width:3.6%> </div></td></tr><tr class><td title=75>75</td><td>2885</td><td>2.6%</td><td><div class=bar style=width:3.6%> </div></td></tr><tr class><td title=59>59</td><td>2885</td><td>2.6%</td><td><div class=bar style=width:3.6%> </div></td></tr><tr class><td title=82>82</td><td>2744</td><td>2.4%</td><td><div class=bar style=width:3.4%> </div></td></tr><tr class=other><td title="Other values (64)">Other values (64)</td><td>81159</td><td>72.2%</td><td><div class=bar style=width:100.0%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=-5083171276244515596bottom–5083171276244515596extreme_values><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#-5083171276244515596extreme_values–5083171276244515596firstn aria-controls=-5083171276244515596extreme_values–5083171276244515596firstn role=tab data-toggle=tab>Minimum 5 values</a></li><li role=presentation><a href=#-5083171276244515596extreme_values–5083171276244515596lastn aria-controls=-5083171276244515596extreme_values–5083171276244515596lastn role=tab data-toggle=tab>Maximum 5 values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=-5083171276244515596extreme_values–5083171276244515596firstn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=20>20</td><td>322</td><td>0.3%</td><td><div class=bar style=width:42.4%> </div></td></tr><tr class><td title=23>23</td><td>600</td><td>0.5%</td><td><div class=bar style=width:78.9%> </div></td></tr><tr class><td title=25>25</td><td>320</td><td>0.3%</td><td><div class=bar style=width:42.1%> </div></td></tr><tr class><td title=26>26</td><td>760</td><td>0.7%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=27>27</td><td>592</td><td>0.5%</td><td><div class=bar style=width:77.9%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=-5083171276244515596extreme_values–5083171276244515596lastn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=99>99</td><td>325</td><td>0.3%</td><td><div class=bar style=width:33.0%> </div></td></tr><tr class><td title=98>98</td><td>336</td><td>0.3%</td><td><div class=bar style=width:34.1%> </div></td></tr><tr class><td title=97>97</td><td>343</td><td>0.3%</td><td><div class=bar style=width:34.8%> </div></td></tr><tr class><td title=95>95</td><td>342</td><td>0.3%</td><td><div class=bar style=width:34.7%> </div></td></tr><tr class><td title=94>94</td><td>986</td><td>0.9%</td><td><div class=bar style=width:100.0%> </div></td></tr></tbody></table></div></div></div></div></div></div></div></div></div><div class="row spacing"><a class="anchor-pos anchor-pos-variable" id=pp_var_3530489825858011296></a><div class=variable><div class=col-sm-3><p class=h4 title=temp_min><a href=#pp_var_3530489825858011296>temp_min</a><br><small>Real number (&Ropf;<sub>≥0</sub>)</small></p><code><abbr title="This variable has a high correlation with 2 fields: temp_max, temp_ave">HIGH CORRELATION</abbr></code><br><p class=variable-description></p></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Distinct</th><td>64</td></tr><tr><th>Distinct (%)</th><td>0.1%</td></tr><tr><th>Missing</th><td>0</td></tr><tr><th>Missing (%)</th><td>0.0%</td></tr><tr><th>Infinite</th><td>0</td></tr><tr><th>Infinite (%)</th><td>0.0%</td></tr></tbody></table></div><div class=col-sm-3><table class="table table-condensed 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role=tablist><li role=presentation class=active><a href=#3530489825858011296bottom-3530489825858011296statistics aria-controls=3530489825858011296bottom-3530489825858011296statistics role=tab data-toggle=tab>Statistics</a></li><li role=presentation><a href=#3530489825858011296bottom-3530489825858011296histogram aria-controls=3530489825858011296bottom-3530489825858011296histogram role=tab data-toggle=tab>Histogram</a></li><li role=presentation><a href=#3530489825858011296bottom-3530489825858011296common_values aria-controls=3530489825858011296bottom-3530489825858011296common_values role=tab data-toggle=tab>Common values</a></li><li role=presentation><a href=#3530489825858011296bottom-3530489825858011296extreme_values aria-controls=3530489825858011296bottom-3530489825858011296extreme_values role=tab data-toggle=tab>Extreme values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=3530489825858011296bottom-3530489825858011296statistics><div class=col-sm-6><p class=h4>Quantile statistics</p><table class="table table-condensed stats"><tbody><tr><th>Minimum</th><td>12</td></tr><tr><th>5-th percentile</th><td>22</td></tr><tr><th>Q1</th><td>36</td></tr><tr><th>median</th><td>50</td></tr><tr><th>Q3</th><td>64</td></tr><tr><th>95-th percentile</th><td>71</td></tr><tr><th>Maximum</th><td>77</td></tr><tr><th>Range</th><td>65</td></tr><tr><th>Interquartile range (IQR)</th><td>28</td></tr></tbody></table></div><div class=col-sm-6><p class=h4>Descriptive statistics</p><table class="table table-condensed stats"><tbody><tr><th>Standard deviation</th><td>16.14572404</td></tr><tr><th>Coefficient of variation (CV)</th><td>0.3304332198</td></tr><tr><th>Kurtosis</th><td>-0.9828942891</td></tr><tr><th>Mean</th><td>48.86229068</td></tr><tr><th>Median Absolute Deviation 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d="M 392.466826 252.381088 L 398.965211 252.381088 L 398.965211 226.234733 L 392.466826 226.234733 z "/></g><g id=patch_53><path style=fill:none; d="M 57.8 252.381088 L 57.8 10.8 "/></g><g id=patch_54><path style=fill:none; d="M 415.211173 252.381088 L 415.211173 10.8 "/></g><g id=patch_55><path style=fill:none; d="M 57.8 252.381088 L 415.211173 252.381088 "/></g><g id=patch_56><path style=fill:none; d="M 57.8 10.8 L 415.211173 10.8 "/></g></g></g><defs><clippath id=pd4efb81fbd><rect height=241.581088 width=357.411173 x=57.8 y=10.8 /></clippath></defs></svg><div class="caption text-center text-muted"><strong>Histogram with fixed size bins</strong> (bins=50) </div></div><div role=tabpanel class="tab-pane col-sm-12" id=3530489825858011296bottom-3530489825858011296common_values><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=69>69</td><td>5081</td><td>4.5%</td><td><div class=bar style=width:6.5%> </div></td></tr><tr class><td title=37>37</td><td>3530</td><td>3.1%</td><td><div class=bar style=width:4.5%> </div></td></tr><tr class><td title=55>55</td><td>3525</td><td>3.1%</td><td><div class=bar style=width:4.5%> </div></td></tr><tr class><td title=68>68</td><td>3525</td><td>3.1%</td><td><div class=bar style=width:4.5%> </div></td></tr><tr class><td title=65>65</td><td>3446</td><td>3.1%</td><td><div class=bar style=width:4.4%> </div></td></tr><tr class><td title=32>32</td><td>3385</td><td>3.0%</td><td><div class=bar style=width:4.4%> </div></td></tr><tr class><td title=66>66</td><td>3292</td><td>2.9%</td><td><div class=bar style=width:4.2%> </div></td></tr><tr class><td title=39>39</td><td>3158</td><td>2.8%</td><td><div class=bar style=width:4.1%> </div></td></tr><tr class><td title=64>64</td><td>2990</td><td>2.7%</td><td><div class=bar style=width:3.9%> </div></td></tr><tr class><td title=53>53</td><td>2908</td><td>2.6%</td><td><div class=bar style=width:3.7%> </div></td></tr><tr class=other><td title="Other values (54)">Other values (54)</td><td>77607</td><td>69.0%</td><td><div class=bar style=width:100.0%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=3530489825858011296bottom-3530489825858011296extreme_values><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#3530489825858011296extreme_values-3530489825858011296firstn aria-controls=3530489825858011296extreme_values-3530489825858011296firstn role=tab data-toggle=tab>Minimum 5 values</a></li><li role=presentation><a href=#3530489825858011296extreme_values-3530489825858011296lastn aria-controls=3530489825858011296extreme_values-3530489825858011296lastn role=tab data-toggle=tab>Maximum 5 values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=3530489825858011296extreme_values-3530489825858011296firstn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=12>12</td><td>967</td><td>0.9%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=14>14</td><td>296</td><td>0.3%</td><td><div class=bar style=width:30.6%> </div></td></tr><tr class><td title=15>15</td><td>843</td><td>0.7%</td><td><div class=bar style=width:87.2%> </div></td></tr><tr class><td title=17>17</td><td>794</td><td>0.7%</td><td><div class=bar style=width:82.1%> </div></td></tr><tr class><td title=18>18</td><td>908</td><td>0.8%</td><td><div class=bar style=width:93.9%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=3530489825858011296extreme_values-3530489825858011296lastn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=77>77</td><td>322</td><td>0.3%</td><td><div class=bar style=width:17.2%> </div></td></tr><tr class><td title=76>76</td><td>656</td><td>0.6%</td><td><div class=bar style=width:35.1%> </div></td></tr><tr class><td title=75>75</td><td>683</td><td>0.6%</td><td><div class=bar style=width:36.6%> </div></td></tr><tr class><td title=74>74</td><td>668</td><td>0.6%</td><td><div class=bar style=width:35.8%> </div></td></tr><tr class><td title=73>73</td><td>1868</td><td>1.7%</td><td><div class=bar style=width:100.0%> </div></td></tr></tbody></table></div></div></div></div></div></div></div></div></div><div class="row spacing"><a class="anchor-pos anchor-pos-variable" id=pp_var_667215055855875050></a><div class=variable><div class=col-sm-3><p class=h4 title=temp_ave><a href=#pp_var_667215055855875050>temp_ave</a><br><small>Real number (&Ropf;<sub>≥0</sub>)</small></p><code><abbr title="This variable has a high correlation with 2 fields: temp_max, temp_min">HIGH CORRELATION</abbr></code><br><p class=variable-description></p></div><div 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#minifreqtable667215055855875050" aria-expanded=true aria-controls=collapseExample>Toggle details</button></div><div id=bottom-667215055855875050 class=collapse><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#667215055855875050bottom-667215055855875050statistics aria-controls=667215055855875050bottom-667215055855875050statistics role=tab data-toggle=tab>Statistics</a></li><li role=presentation><a href=#667215055855875050bottom-667215055855875050histogram aria-controls=667215055855875050bottom-667215055855875050histogram role=tab data-toggle=tab>Histogram</a></li><li role=presentation><a href=#667215055855875050bottom-667215055855875050common_values aria-controls=667215055855875050bottom-667215055855875050common_values role=tab data-toggle=tab>Common values</a></li><li role=presentation><a href=#667215055855875050bottom-667215055855875050extreme_values aria-controls=667215055855875050bottom-667215055855875050extreme_values role=tab data-toggle=tab>Extreme values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=667215055855875050bottom-667215055855875050statistics><div class=col-sm-6><p class=h4>Quantile statistics</p><table class="table table-condensed stats"><tbody><tr><th>Minimum</th><td>16</td></tr><tr><th>5-th percentile</th><td>28.5</td></tr><tr><th>Q1</th><td>43.5</td></tr><tr><th>median</th><td>58</td></tr><tr><th>Q3</th><td>72</td></tr><tr><th>95-th percentile</th><td>80</td></tr><tr><th>Maximum</th><td>87</td></tr><tr><th>Range</th><td>71</td></tr><tr><th>Interquartile range (IQR)</th><td>28.5</td></tr></tbody></table></div><div class=col-sm-6><p class=h4>Descriptive statistics</p><table class="table table-condensed stats"><tbody><tr><th>Standard deviation</th><td>16.70001501</td></tr><tr><th>Coefficient of variation (CV)</th><td>0.2926169186</td></tr><tr><th>Kurtosis</th><td>-0.9336836186</td></tr><tr><th>Mean</th><td>57.07125579</td></tr><tr><th>Median Absolute Deviation (MAD)</th><td>14.5</td></tr><tr><th>Skewness</th><td>-0.2817431797</td></tr><tr><th>Sum</th><td>6417491.5</td></tr><tr><th>Variance</th><td>278.8905013</td></tr><tr><th>Monotocity</th><td>Not monotonic</td></tr></tbody></table></div></div><div role=tabpanel class="tab-pane col-sm-12" id=667215055855875050bottom-667215055855875050histogram><?xml version="1.0" encoding="utf-8" standalone="no"?><!DOCTYPE svg class="img-responsive center-img"PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg class="img-responsive center-img" height=288pt version=1.1 viewbox="0 0 432 288" width=432pt xmlns=http://www.w3.org/2000/svg xmlns:xlink=http://www.w3.org/1999/xlink><metadata><rdf:rdf xmlns:cc=http://creativecommons.org/ns# xmlns:dc=http://purl.org/dc/elements/1.1/ 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252.381088 L 416.39829 10.8 "/></g><g id=patch_55><path style=fill:none; d="M 57.8 252.381088 L 416.39829 252.381088 "/></g><g id=patch_56><path style=fill:none; d="M 57.8 10.8 L 416.39829 10.8 "/></g></g></g><defs><clippath id=ped2a461ef4><rect height=241.581088 width=358.59829 x=57.8 y=10.8 /></clippath></defs></svg><div class="caption text-center text-muted"><strong>Histogram with fixed size bins</strong> (bins=50) </div></div><div role=tabpanel class="tab-pane col-sm-12" id=667215055855875050bottom-667215055855875050common_values><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=74.5>74.5</td><td>2844</td><td>2.5%</td><td><div class=bar style=width:3.1%> </div></td></tr><tr class><td title=75.5>75.5</td><td>2515</td><td>2.2%</td><td><div class=bar style=width:2.8%> </div></td></tr><tr class><td title=77.5>77.5</td><td>2476</td><td>2.2%</td><td><div class=bar style=width:2.7%> </div></td></tr><tr class><td title=57>57</td><td>2250</td><td>2.0%</td><td><div class=bar style=width:2.5%> </div></td></tr><tr class><td title=69.5>69.5</td><td>2238</td><td>2.0%</td><td><div class=bar style=width:2.5%> </div></td></tr><tr class><td title=43.5>43.5</td><td>1964</td><td>1.7%</td><td><div class=bar style=width:2.2%> </div></td></tr><tr class><td title=53>53</td><td>1953</td><td>1.7%</td><td><div class=bar style=width:2.2%> </div></td></tr><tr class><td title=76>76</td><td>1951</td><td>1.7%</td><td><div class=bar style=width:2.2%> </div></td></tr><tr class><td title=78.5>78.5</td><td>1872</td><td>1.7%</td><td><div class=bar style=width:2.1%> </div></td></tr><tr class><td title=41.5>41.5</td><td>1853</td><td>1.6%</td><td><div class=bar style=width:2.0%> </div></td></tr><tr class=other><td title="Other values (114)">Other values (114)</td><td>90531</td><td>80.5%</td><td><div class=bar style=width:100.0%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=667215055855875050bottom-667215055855875050extreme_values><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#667215055855875050extreme_values-667215055855875050firstn aria-controls=667215055855875050extreme_values-667215055855875050firstn role=tab data-toggle=tab>Minimum 5 values</a></li><li role=presentation><a href=#667215055855875050extreme_values-667215055855875050lastn aria-controls=667215055855875050extreme_values-667215055855875050lastn role=tab data-toggle=tab>Maximum 5 values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=667215055855875050extreme_values-667215055855875050firstn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=16>16</td><td>322</td><td>0.3%</td><td><div class=bar style=width:99.1%> </div></td></tr><tr class><td title=17.5>17.5</td><td>325</td><td>0.3%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=18.5>18.5</td><td>320</td><td>0.3%</td><td><div class=bar style=width:98.5%> </div></td></tr><tr class><td title=19>19</td><td>275</td><td>0.2%</td><td><div class=bar style=width:84.6%> </div></td></tr><tr class><td title=20.5>20.5</td><td>266</td><td>0.2%</td><td><div class=bar style=width:81.8%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=667215055855875050extreme_values-667215055855875050lastn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=87>87</td><td>336</td><td>0.3%</td><td><div class=bar style=width:98.2%> </div></td></tr><tr class><td title=85.5>85.5</td><td>325</td><td>0.3%</td><td><div class=bar style=width:95.0%> </div></td></tr><tr class><td title=85>85</td><td>342</td><td>0.3%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=84.5>84.5</td><td>341</td><td>0.3%</td><td><div class=bar style=width:99.7%> </div></td></tr><tr class><td title=84>84</td><td>334</td><td>0.3%</td><td><div class=bar style=width:97.7%> </div></td></tr></tbody></table></div></div></div></div></div></div></div></div></div><div class="row spacing"><a class="anchor-pos anchor-pos-variable" id=pp_var_-4193058090693067184></a><div class=variable><div class=col-sm-3><p class=h4 title=temp_departure><a href=#pp_var_-4193058090693067184>temp_departure</a><br><small>Real number (&Ropf;)</small></p><p class=variable-description></p></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Distinct</th><td>213</td></tr><tr><th>Distinct (%)</th><td>0.2%</td></tr><tr><th>Missing</th><td>0</td></tr><tr><th>Missing (%)</th><td>0.0%</td></tr><tr><th>Infinite</th><td>0</td></tr><tr><th>Infinite 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spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#-4193058090693067184bottom–4193058090693067184statistics aria-controls=-4193058090693067184bottom–4193058090693067184statistics role=tab data-toggle=tab>Statistics</a></li><li role=presentation><a href=#-4193058090693067184bottom–4193058090693067184histogram aria-controls=-4193058090693067184bottom–4193058090693067184histogram role=tab data-toggle=tab>Histogram</a></li><li role=presentation><a href=#-4193058090693067184bottom–4193058090693067184common_values aria-controls=-4193058090693067184bottom–4193058090693067184common_values role=tab data-toggle=tab>Common values</a></li><li role=presentation><a href=#-4193058090693067184bottom–4193058090693067184extreme_values aria-controls=-4193058090693067184bottom–4193058090693067184extreme_values role=tab data-toggle=tab>Extreme values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=-4193058090693067184bottom–4193058090693067184statistics><div class=col-sm-6><p class=h4>Quantile statistics</p><table class="table table-condensed stats"><tbody><tr><th>Minimum</th><td>-19.1</td></tr><tr><th>5-th percentile</th><td>-10.8</td></tr><tr><th>Q1</th><td>-4.5</td></tr><tr><th>median</th><td>0.2</td></tr><tr><th>Q3</th><td>6</td></tr><tr><th>95-th percentile</th><td>15.4</td></tr><tr><th>Maximum</th><td>26.4</td></tr><tr><th>Range</th><td>45.5</td></tr><tr><th>Interquartile range (IQR)</th><td>10.5</td></tr></tbody></table></div><div class=col-sm-6><p class=h4>Descriptive statistics</p><table class="table table-condensed stats"><tbody><tr><th>Standard deviation</th><td>8.131980378</td></tr><tr><th>Coefficient of variation (CV)</th><td>7.98664722</td></tr><tr><th>Kurtosis</th><td>-0.01725004631</td></tr><tr><th>Mean</th><td>1.018197017</td></tr><tr><th>Median Absolute Deviation (MAD)</th><td>5</td></tr><tr><th>Skewness</th><td>0.3247863868</td></tr><tr><th>Sum</th><td>114493.2</td></tr><tr><th>Variance</th><td>66.12910486</td></tr><tr><th>Monotocity</th><td>Not monotonic</td></tr></tbody></table></div></div><div role=tabpanel class="tab-pane col-sm-12" id=-4193058090693067184bottom–4193058090693067184histogram><?xml version="1.0" encoding="utf-8" standalone="no"?><!DOCTYPE svg class="img-responsive center-img"PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg class="img-responsive center-img" height=288pt version=1.1 viewbox="0 0 432 288" width=432pt xmlns=http://www.w3.org/2000/svg xmlns:xlink=http://www.w3.org/1999/xlink><metadata><rdf:rdf xmlns:cc=http://creativecommons.org/ns# xmlns:dc=http://purl.org/dc/elements/1.1/ xmlns:rdf=http://www.w3.org/1999/02/22-rdf-syntax-ns#><cc:work><dc:type rdf:resource=http://purl.org/dc/dcmitype/StillImage 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height=237.426835 width=363.4 x=57.8 y=10.8 /></clippath></defs></svg><div class="caption text-center text-muted"><strong>Histogram with fixed size bins</strong> (bins=50) </div></div><div role=tabpanel class="tab-pane col-sm-12" id=-4193058090693067184bottom–4193058090693067184common_values><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=4.8>4.8</td><td>1796</td><td>1.6%</td><td><div class=bar style=width:1.8%> </div></td></tr><tr class><td title=-3.6>-3.6</td><td>1610</td><td>1.4%</td><td><div class=bar style=width:1.6%> </div></td></tr><tr class><td title=-0.4>-0.4</td><td>1572</td><td>1.4%</td><td><div class=bar style=width:1.6%> </div></td></tr><tr class><td title=-2.9>-2.9</td><td>1405</td><td>1.2%</td><td><div class=bar style=width:1.4%> </div></td></tr><tr class><td title=2.9>2.9</td><td>1332</td><td>1.2%</td><td><div class=bar style=width:1.4%> </div></td></tr><tr class><td title=2>2</td><td>1305</td><td>1.2%</td><td><div class=bar style=width:1.3%> </div></td></tr><tr class><td title=2.1>2.1</td><td>1266</td><td>1.1%</td><td><div class=bar style=width:1.3%> </div></td></tr><tr class><td title=-9.5>-9.5</td><td>1265</td><td>1.1%</td><td><div class=bar style=width:1.3%> </div></td></tr><tr class><td title=0.2>0.2</td><td>1251</td><td>1.1%</td><td><div class=bar style=width:1.3%> </div></td></tr><tr class><td title=1.6>1.6</td><td>1238</td><td>1.1%</td><td><div class=bar style=width:1.3%> </div></td></tr><tr class=other><td title="Other values (203)">Other values (203)</td><td>98407</td><td>87.5%</td><td><div class=bar style=width:100.0%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=-4193058090693067184bottom–4193058090693067184extreme_values><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#-4193058090693067184extreme_values–4193058090693067184firstn aria-controls=-4193058090693067184extreme_values–4193058090693067184firstn role=tab data-toggle=tab>Minimum 5 values</a></li><li role=presentation><a href=#-4193058090693067184extreme_values–4193058090693067184lastn aria-controls=-4193058090693067184extreme_values–4193058090693067184lastn role=tab data-toggle=tab>Maximum 5 values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=-4193058090693067184extreme_values–4193058090693067184firstn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=-19.1>-19.1</td><td>322</td><td>0.3%</td><td><div class=bar style=width:55.0%> </div></td></tr><tr class><td title=-18.6>-18.6</td><td>260</td><td>0.2%</td><td><div class=bar style=width:44.4%> </div></td></tr><tr class><td title=-16.4>-16.4</td><td>585</td><td>0.5%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=-15.9>-15.9</td><td>235</td><td>0.2%</td><td><div class=bar style=width:40.2%> </div></td></tr><tr class><td title=-15.7>-15.7</td><td>275</td><td>0.2%</td><td><div class=bar style=width:47.0%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=-4193058090693067184extreme_values–4193058090693067184lastn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=26.4>26.4</td><td>320</td><td>0.3%</td><td><div class=bar style=width:95.8%> </div></td></tr><tr class><td title=24.2>24.2</td><td>308</td><td>0.3%</td><td><div class=bar style=width:92.2%> </div></td></tr><tr class><td title=23.8>23.8</td><td>319</td><td>0.3%</td><td><div class=bar style=width:95.5%> </div></td></tr><tr class><td title=22.1>22.1</td><td>273</td><td>0.2%</td><td><div class=bar style=width:81.7%> </div></td></tr><tr class><td title=20.2>20.2</td><td>334</td><td>0.3%</td><td><div class=bar style=width:100.0%> </div></td></tr></tbody></table></div></div></div></div></div></div></div></div></div><div class="row spacing"><a class="anchor-pos anchor-pos-variable" id=pp_var_5788723175470451430></a><div class=variable><div class=col-sm-3><p class=h4 title=ppt><a href=#pp_var_5788723175470451430>ppt</a><br><small>Real number (&Ropf;<sub>≥0</sub>)</small></p><code>ZEROS</code><br><p class=variable-description></p></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Distinct</th><td>60</td></tr><tr><th>Distinct (%)</th><td>0.1%</td></tr><tr><th>Missing</th><td>0</td></tr><tr><th>Missing (%)</th><td>0.0%</td></tr><tr><th>Infinite</th><td>0</td></tr><tr><th>Infinite (%)</th><td>0.0%</td></tr></tbody></table></div><div class=col-sm-3><table class="table table-condensed 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id=bottom-5788723175470451430 class=collapse><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#5788723175470451430bottom-5788723175470451430statistics aria-controls=5788723175470451430bottom-5788723175470451430statistics role=tab data-toggle=tab>Statistics</a></li><li role=presentation><a href=#5788723175470451430bottom-5788723175470451430histogram aria-controls=5788723175470451430bottom-5788723175470451430histogram role=tab data-toggle=tab>Histogram</a></li><li role=presentation><a href=#5788723175470451430bottom-5788723175470451430common_values aria-controls=5788723175470451430bottom-5788723175470451430common_values role=tab data-toggle=tab>Common values</a></li><li role=presentation><a href=#5788723175470451430bottom-5788723175470451430extreme_values aria-controls=5788723175470451430bottom-5788723175470451430extreme_values role=tab data-toggle=tab>Extreme values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=5788723175470451430bottom-5788723175470451430statistics><div class=col-sm-6><p class=h4>Quantile statistics</p><table class="table table-condensed stats"><tbody><tr><th>Minimum</th><td>0</td></tr><tr><th>5-th percentile</th><td>0</td></tr><tr><th>Q1</th><td>0</td></tr><tr><th>median</th><td>0.01</td></tr><tr><th>Q3</th><td>0.04</td></tr><tr><th>95-th percentile</th><td>0.7</td></tr><tr><th>Maximum</th><td>3.86</td></tr><tr><th>Range</th><td>3.86</td></tr><tr><th>Interquartile range (IQR)</th><td>0.04</td></tr></tbody></table></div><div class=col-sm-6><p class=h4>Descriptive statistics</p><table class="table table-condensed stats"><tbody><tr><th>Standard deviation</th><td>0.3716803183</td></tr><tr><th>Coefficient of variation (CV)</th><td>3.05845714</td></tr><tr><th>Kurtosis</th><td>39.1855526</td></tr><tr><th>Mean</th><td>0.1215254298</td></tr><tr><th>Median Absolute Deviation 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y=10.8 /></clippath></defs></svg><div class="caption text-center text-muted"><strong>Histogram with fixed size bins</strong> (bins=50) </div></div><div role=tabpanel class="tab-pane col-sm-12" id=5788723175470451430bottom-5788723175470451430common_values><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=0>0</td><td>54199</td><td>48.2%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=0.01>0.01</td><td>25249</td><td>22.5%</td><td><div class=bar style=width:46.6%> </div></td></tr><tr class><td title=0.05>0.05</td><td>3163</td><td>2.8%</td><td><div class=bar style=width:5.8%> </div></td></tr><tr class><td title=0.03>0.03</td><td>2726</td><td>2.4%</td><td><div class=bar style=width:5.0%> </div></td></tr><tr class><td title=0.04>0.04</td><td>2520</td><td>2.2%</td><td><div class=bar style=width:4.6%> </div></td></tr><tr class><td title=0.1>0.1</td><td>1691</td><td>1.5%</td><td><div class=bar style=width:3.1%> </div></td></tr><tr class><td title=0.09>0.09</td><td>1302</td><td>1.2%</td><td><div class=bar style=width:2.4%> </div></td></tr><tr class><td title=0.02>0.02</td><td>1275</td><td>1.1%</td><td><div class=bar style=width:2.4%> </div></td></tr><tr class><td title=0.15>0.15</td><td>1019</td><td>0.9%</td><td><div class=bar style=width:1.9%> </div></td></tr><tr class><td title=0.14>0.14</td><td>968</td><td>0.9%</td><td><div class=bar style=width:1.8%> </div></td></tr><tr class=other><td title="Other values (50)">Other values (50)</td><td>18335</td><td>16.3%</td><td><div class=bar style=width:33.8%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=5788723175470451430bottom-5788723175470451430extreme_values><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#5788723175470451430extreme_values-5788723175470451430firstn aria-controls=5788723175470451430extreme_values-5788723175470451430firstn role=tab data-toggle=tab>Minimum 5 values</a></li><li role=presentation><a href=#5788723175470451430extreme_values-5788723175470451430lastn aria-controls=5788723175470451430extreme_values-5788723175470451430lastn role=tab data-toggle=tab>Maximum 5 values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=5788723175470451430extreme_values-5788723175470451430firstn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=0>0</td><td>54199</td><td>48.2%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=0.01>0.01</td><td>25249</td><td>22.5%</td><td><div class=bar style=width:46.6%> </div></td></tr><tr class><td title=0.02>0.02</td><td>1275</td><td>1.1%</td><td><div class=bar style=width:2.4%> </div></td></tr><tr class><td title=0.03>0.03</td><td>2726</td><td>2.4%</td><td><div class=bar style=width:5.0%> </div></td></tr><tr class><td title=0.04>0.04</td><td>2520</td><td>2.2%</td><td><div class=bar style=width:4.6%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=5788723175470451430extreme_values-5788723175470451430lastn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=3.86>3.86</td><td>263</td><td>0.2%</td><td><div class=bar style=width:79.7%> </div></td></tr><tr class><td title=3.05>3.05</td><td>305</td><td>0.3%</td><td><div class=bar style=width:92.4%> </div></td></tr><tr class><td title=2.15>2.15</td><td>330</td><td>0.3%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=2.06>2.06</td><td>318</td><td>0.3%</td><td><div class=bar style=width:96.4%> </div></td></tr><tr class><td title=1.79>1.79</td><td>259</td><td>0.2%</td><td><div class=bar style=width:78.5%> </div></td></tr></tbody></table></div></div></div></div></div></div></div></div></div><div class="row spacing"><a class="anchor-pos anchor-pos-variable" id=pp_var_-4351960964740665307></a><div class=variable><div class=col-sm-3><p class=h4 title=new_snow><a href=#pp_var_-4351960964740665307>new_snow</a><br><small>Real number (&Ropf;<sub>≥0</sub>)</small></p><code>ZEROS</code><br><p class=variable-description></p></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Distinct</th><td>13</td></tr><tr><th>Distinct (%)</th><td>< 0.1%</td></tr><tr><th>Missing</th><td>0</td></tr><tr><th>Missing (%)</th><td>0.0%</td></tr><tr><th>Infinite</th><td>0</td></tr><tr><th>Infinite (%)</th><td>0.0%</td></tr></tbody></table></div><div class=col-sm-3><table class="table table-condensed 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d="M 10.8 133.275379 L 205.194682 133.275379 "/></g><g id=patch_19><path style=fill:none; d="M 10.8 10.8 L 205.194682 10.8 "/></g></g></g><defs><clippath id=p3c80abb5ca><rect height=122.475379 width=194.394682 x=10.8 y=10.8 /></clippath></defs></svg></div><div class="col-sm-12 text-right"><button class="btn btn-default btn-sm" data-toggle=collapse data-target="#bottom–4351960964740665307, #minifreqtable-4351960964740665307" aria-expanded=true aria-controls=collapseExample>Toggle details</button></div><div id=bottom–4351960964740665307 class=collapse><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#-4351960964740665307bottom–4351960964740665307statistics aria-controls=-4351960964740665307bottom–4351960964740665307statistics role=tab data-toggle=tab>Statistics</a></li><li role=presentation><a href=#-4351960964740665307bottom–4351960964740665307histogram aria-controls=-4351960964740665307bottom–4351960964740665307histogram role=tab data-toggle=tab>Histogram</a></li><li role=presentation><a href=#-4351960964740665307bottom–4351960964740665307common_values aria-controls=-4351960964740665307bottom–4351960964740665307common_values role=tab data-toggle=tab>Common values</a></li><li role=presentation><a href=#-4351960964740665307bottom–4351960964740665307extreme_values aria-controls=-4351960964740665307bottom–4351960964740665307extreme_values role=tab data-toggle=tab>Extreme values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=-4351960964740665307bottom–4351960964740665307statistics><div class=col-sm-6><p class=h4>Quantile statistics</p><table class="table table-condensed stats"><tbody><tr><th>Minimum</th><td>0</td></tr><tr><th>5-th percentile</th><td>0</td></tr><tr><th>Q1</th><td>0</td></tr><tr><th>median</th><td>0</td></tr><tr><th>Q3</th><td>0</td></tr><tr><th>95-th percentile</th><td>0.01</td></tr><tr><th>Maximum</th><td>7.8</td></tr><tr><th>Range</th><td>7.8</td></tr><tr><th>Interquartile range (IQR)</th><td>0</td></tr></tbody></table></div><div class=col-sm-6><p class=h4>Descriptive statistics</p><table class="table table-condensed stats"><tbody><tr><th>Standard deviation</th><td>0.4077062603</td></tr><tr><th>Coefficient of variation (CV)</th><td>8.504525544</td></tr><tr><th>Kurtosis</th><td>175.7368347</td></tr><tr><th>Mean</th><td>0.04793991836</td></tr><tr><th>Median Absolute Deviation (MAD)</th><td>0</td></tr><tr><th>Skewness</th><td>12.22429804</td></tr><tr><th>Sum</th><td>5390.7</td></tr><tr><th>Variance</th><td>0.1662243947</td></tr><tr><th>Monotocity</th><td>Not monotonic</td></tr></tbody></table></div></div><div role=tabpanel class="tab-pane col-sm-12" id=-4351960964740665307bottom–4351960964740665307histogram><?xml version="1.0" encoding="utf-8" standalone="no"?><!DOCTYPE svg class="img-responsive center-img"PUBLIC "-//W3C//DTD SVG 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355.941434 256.347981 z "/></g><g id=patch_15><path clip-path=url(#p616ec69e2e) style=fill:#337ab7;stroke:#ffffff;stroke-linejoin:miter;stroke-width:0.3; d="M 380.567308 256.358563 L 405.193182 256.358563 L 405.193182 256.197712 L 380.567308 256.197712 z "/></g><g id=patch_16><path style=fill:none; d="M 69.05 256.358563 L 69.05 10.8 "/></g><g id=patch_17><path style=fill:none; d="M 421.2 256.358563 L 421.2 10.8 "/></g><g id=patch_18><path style=fill:none; d="M 69.05 256.358563 L 421.2 256.358563 "/></g><g id=patch_19><path style=fill:none; d="M 69.05 10.8 L 421.2 10.8 "/></g></g></g><defs><clippath id=p616ec69e2e><rect height=245.558563 width=352.15 x=69.05 y=10.8 /></clippath></defs></svg><div class="caption text-center text-muted"><strong>Histogram with fixed size bins</strong> (bins=13) </div></div><div role=tabpanel class="tab-pane col-sm-12" id=-4351960964740665307bottom–4351960964740665307common_values><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=0>0</td><td>103414</td><td>92.0%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=0.01>0.01</td><td>5680</td><td>5.1%</td><td><div class=bar style=width:5.5%> </div></td></tr><tr class><td title=0.1>0.1</td><td>842</td><td>0.7%</td><td><div class=bar style=width:0.8%> </div></td></tr><tr class><td title=0.5>0.5</td><td>562</td><td>0.5%</td><td><div class=bar style=width:0.5%> </div></td></tr><tr class><td title=1.7>1.7</td><td>337</td><td>0.3%</td><td><div class=bar style=width:0.3%> </div></td></tr><tr class><td title=1.1>1.1</td><td>332</td><td>0.3%</td><td><div class=bar style=width:0.3%> </div></td></tr><tr class><td title=2.4>2.4</td><td>306</td><td>0.3%</td><td><div class=bar style=width:0.3%> </div></td></tr><tr class><td title=1.6>1.6</td><td>294</td><td>0.3%</td><td><div class=bar style=width:0.3%> </div></td></tr><tr class><td title=1.4>1.4</td><td>218</td><td>0.2%</td><td><div class=bar style=width:0.2%> </div></td></tr><tr class><td title=4.3>4.3</td><td>211</td><td>0.2%</td><td><div class=bar style=width:0.2%> </div></td></tr><tr class=other><td title="Other values (3)">Other values (3)</td><td>251</td><td>0.2%</td><td><div class=bar style=width:0.2%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=-4351960964740665307bottom–4351960964740665307extreme_values><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#-4351960964740665307extreme_values–4351960964740665307firstn aria-controls=-4351960964740665307extreme_values–4351960964740665307firstn role=tab data-toggle=tab>Minimum 5 values</a></li><li role=presentation><a href=#-4351960964740665307extreme_values–4351960964740665307lastn aria-controls=-4351960964740665307extreme_values–4351960964740665307lastn role=tab data-toggle=tab>Maximum 5 values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=-4351960964740665307extreme_values–4351960964740665307firstn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=0>0</td><td>103414</td><td>92.0%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=0.01>0.01</td><td>5680</td><td>5.1%</td><td><div class=bar style=width:5.5%> </div></td></tr><tr class><td title=0.1>0.1</td><td>842</td><td>0.7%</td><td><div class=bar style=width:0.8%> </div></td></tr><tr class><td title=0.5>0.5</td><td>562</td><td>0.5%</td><td><div class=bar style=width:0.5%> </div></td></tr><tr class><td title=1.1>1.1</td><td>332</td><td>0.3%</td><td><div class=bar style=width:0.3%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=-4351960964740665307extreme_values–4351960964740665307lastn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=7.8>7.8</td><td>76</td><td>0.1%</td><td><div class=bar style=width:24.8%> </div></td></tr><tr class><td title=6.9>6.9</td><td>5</td><td>< 0.1%</td><td><div class=bar style=width:1.6%> </div></td></tr><tr class><td title=5.8>5.8</td><td>170</td><td>0.2%</td><td><div class=bar style=width:55.6%> </div></td></tr><tr class><td title=4.3>4.3</td><td>211</td><td>0.2%</td><td><div class=bar style=width:69.0%> </div></td></tr><tr class><td title=2.4>2.4</td><td>306</td><td>0.3%</td><td><div class=bar style=width:100.0%> </div></td></tr></tbody></table></div></div></div></div></div></div></div></div></div><div class="row spacing"><a class="anchor-pos anchor-pos-variable" id=pp_var_-2793035224093880385></a><div class=variable><div class=col-sm-3><p class=h4 title=snow_depth><a href=#pp_var_-2793035224093880385>snow_depth</a><br><small>Real number (&Ropf;<sub>≥0</sub>)</small></p><code>ZEROS</code><br><p class=variable-description></p></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Distinct</th><td>8</td></tr><tr><th>Distinct (%)</th><td>< 0.1%</td></tr><tr><th>Missing</th><td>0</td></tr><tr><th>Missing (%)</th><td>0.0%</td></tr><tr><th>Infinite</th><td>0</td></tr><tr><th>Infinite (%)</th><td>0.0%</td></tr></tbody></table></div><div class=col-sm-3><table class="table table-condensed stats"><tbody><tr><th>Mean</th><td>0.1601973374</td></tr><tr><th>Minimum</th><td>0</td></tr><tr><th>Maximum</th><td>6</td></tr><tr class=alert><th>Zeros</th><td>104332</td></tr><tr class=alert><th>Zeros (%)</th><td>92.8%</td></tr><tr><th>Memory size</th><td>878.5 KiB</td></tr></tbody></table></div><div class=col-sm-3><?xml version="1.0" encoding="utf-8" standalone="no"?><!DOCTYPE svg class="img-responsive center-img"PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg 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#minifreqtable-2793035224093880385" aria-expanded=true aria-controls=collapseExample>Toggle details</button></div><div id=bottom–2793035224093880385 class=collapse><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#-2793035224093880385bottom–2793035224093880385statistics aria-controls=-2793035224093880385bottom–2793035224093880385statistics role=tab data-toggle=tab>Statistics</a></li><li role=presentation><a href=#-2793035224093880385bottom–2793035224093880385histogram aria-controls=-2793035224093880385bottom–2793035224093880385histogram role=tab data-toggle=tab>Histogram</a></li><li role=presentation><a href=#-2793035224093880385bottom–2793035224093880385common_values aria-controls=-2793035224093880385bottom–2793035224093880385common_values role=tab data-toggle=tab>Common values</a></li><li role=presentation><a href=#-2793035224093880385bottom–2793035224093880385extreme_values aria-controls=-2793035224093880385bottom–2793035224093880385extreme_values role=tab data-toggle=tab>Extreme values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=-2793035224093880385bottom–2793035224093880385statistics><div class=col-sm-6><p class=h4>Quantile statistics</p><table class="table table-condensed stats"><tbody><tr><th>Minimum</th><td>0</td></tr><tr><th>5-th percentile</th><td>0</td></tr><tr><th>Q1</th><td>0</td></tr><tr><th>median</th><td>0</td></tr><tr><th>Q3</th><td>0</td></tr><tr><th>95-th percentile</th><td>1</td></tr><tr><th>Maximum</th><td>6</td></tr><tr><th>Range</th><td>6</td></tr><tr><th>Interquartile range (IQR)</th><td>0</td></tr></tbody></table></div><div class=col-sm-6><p class=h4>Descriptive statistics</p><table class="table table-condensed stats"><tbody><tr><th>Standard deviation</th><td>0.7510636602</td></tr><tr><th>Coefficient of variation (CV)</th><td>4.688365439</td></tr><tr><th>Kurtosis</th><td>30.19347353</td></tr><tr><th>Mean</th><td>0.1601973374</td></tr><tr><th>Median Absolute Deviation (MAD)</th><td>0</td></tr><tr><th>Skewness</th><td>5.389350324</td></tr><tr><th>Sum</th><td>18013.71</td></tr><tr><th>Variance</th><td>0.5640966217</td></tr><tr><th>Monotocity</th><td>Not monotonic</td></tr></tbody></table></div></div><div role=tabpanel class="tab-pane col-sm-12" id=-2793035224093880385bottom–2793035224093880385histogram><?xml version="1.0" encoding="utf-8" standalone="no"?><!DOCTYPE svg class="img-responsive center-img"PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg class="img-responsive center-img" height=288pt version=1.1 viewbox="0 0 432 288" width=432pt xmlns=http://www.w3.org/2000/svg xmlns:xlink=http://www.w3.org/1999/xlink><metadata><rdf:rdf xmlns:cc=http://creativecommons.org/ns# xmlns:dc=http://purl.org/dc/elements/1.1/ 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256.358563 L 405.193182 256.358563 L 405.193182 255.671783 L 365.176136 255.671783 z "/></g><g id=patch_11><path style=fill:none; d="M 69.05 256.358563 L 69.05 10.8 "/></g><g id=patch_12><path style=fill:none; d="M 421.2 256.358563 L 421.2 10.8 "/></g><g id=patch_13><path style=fill:none; d="M 69.05 256.358563 L 421.2 256.358563 "/></g><g id=patch_14><path style=fill:none; d="M 69.05 10.8 L 421.2 10.8 "/></g></g></g><defs><clippath id=pba30b89601><rect height=245.558563 width=352.15 x=69.05 y=10.8 /></clippath></defs></svg><div class="caption text-center text-muted"><strong>Histogram with fixed size bins</strong> (bins=8) </div></div><div role=tabpanel class="tab-pane col-sm-12" id=-2793035224093880385bottom–2793035224093880385common_values><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=0>0</td><td>104332</td><td>92.8%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=1>1</td><td>2036</td><td>1.8%</td><td><div class=bar style=width:2.0%> </div></td></tr><tr class><td title=0.01>0.01</td><td>1571</td><td>1.4%</td><td><div class=bar style=width:1.5%> </div></td></tr><tr class><td title=2>2</td><td>1306</td><td>1.2%</td><td><div class=bar style=width:1.3%> </div></td></tr><tr class><td title=3>3</td><td>1162</td><td>1.0%</td><td><div class=bar style=width:1.1%> </div></td></tr><tr class><td title=5>5</td><td>1082</td><td>1.0%</td><td><div class=bar style=width:1.0%> </div></td></tr><tr class><td title=4>4</td><td>647</td><td>0.6%</td><td><div class=bar style=width:0.6%> </div></td></tr><tr class><td title=6>6</td><td>311</td><td>0.3%</td><td><div class=bar style=width:0.3%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=-2793035224093880385bottom–2793035224093880385extreme_values><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#-2793035224093880385extreme_values–2793035224093880385firstn aria-controls=-2793035224093880385extreme_values–2793035224093880385firstn role=tab data-toggle=tab>Minimum 5 values</a></li><li role=presentation><a href=#-2793035224093880385extreme_values–2793035224093880385lastn aria-controls=-2793035224093880385extreme_values–2793035224093880385lastn role=tab data-toggle=tab>Maximum 5 values</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=-2793035224093880385extreme_values–2793035224093880385firstn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=0>0</td><td>104332</td><td>92.8%</td><td><div class=bar style=width:100.0%> </div></td></tr><tr class><td title=0.01>0.01</td><td>1571</td><td>1.4%</td><td><div class=bar style=width:1.5%> </div></td></tr><tr class><td title=1>1</td><td>2036</td><td>1.8%</td><td><div class=bar style=width:2.0%> </div></td></tr><tr class><td title=2>2</td><td>1306</td><td>1.2%</td><td><div class=bar style=width:1.3%> </div></td></tr><tr class><td title=3>3</td><td>1162</td><td>1.0%</td><td><div class=bar style=width:1.1%> </div></td></tr></tbody></table></div><div role=tabpanel class="tab-pane col-sm-12" id=-2793035224093880385extreme_values–2793035224093880385lastn><table class="freq table table-hover table-striped"><thead><tr><td>Value</td><td>Count</td><td>Frequency (%)</td><td> </td></tr></thead><tbody><tr class><td title=6>6</td><td>311</td><td>0.3%</td><td><div class=bar style=width:23.8%> </div></td></tr><tr class><td title=5>5</td><td>1082</td><td>1.0%</td><td><div class=bar style=width:82.8%> </div></td></tr><tr class><td title=4>4</td><td>647</td><td>0.6%</td><td><div class=bar style=width:49.5%> </div></td></tr><tr class><td title=3>3</td><td>1162</td><td>1.0%</td><td><div class=bar style=width:89.0%> </div></td></tr><tr class><td title=2>2</td><td>1306</td><td>1.2%</td><td><div class=bar style=width:100.0%> </div></td></tr></tbody></table></div></div></div></div></div></div></div></div></div></div><div class="row header"><a class=anchor-pos id=interactions></a><h1 class=page-header>Interactions</h1></div><div class=section-items><div class="row variable"><div class=col-sm-2><select class="form-control multiple" role=tablist id=select- multiple><option role=presentation class=active data-target=#interactions-interactions_winddir aria-controls=interactions-interactions_winddir role=tab data-toggle=tab>wind_dir </option><option role=presentation data-target=#interactions-interactions_windspeed aria-controls=interactions-interactions_windspeed role=tab data-toggle=tab>wind_speed </option><option role=presentation data-target=#interactions-interactions_windgust aria-controls=interactions-interactions_windgust role=tab data-toggle=tab>wind_gust </option><option role=presentation data-target=#interactions-interactions_visib aria-controls=interactions-interactions_visib role=tab data-toggle=tab>visib </option><option role=presentation data-target=#interactions-interactions_tempmax aria-controls=interactions-interactions_tempmax role=tab data-toggle=tab>temp_max </option><option role=presentation data-target=#interactions-interactions_tempmin aria-controls=interactions-interactions_tempmin role=tab data-toggle=tab>temp_min </option><option role=presentation data-target=#interactions-interactions_tempave aria-controls=interactions-interactions_tempave role=tab data-toggle=tab>temp_ave </option><option role=presentation data-target=#interactions-interactions_tempdeparture aria-controls=interactions-interactions_tempdeparture role=tab data-toggle=tab>temp_departure </option><option role=presentation data-target=#interactions-interactions_ppt aria-controls=interactions-interactions_ppt role=tab data-toggle=tab>ppt </option><option role=presentation data-target=#interactions-interactions_newsnow aria-controls=interactions-interactions_newsnow role=tab data-toggle=tab>new_snow </option><option role=presentation data-target=#interactions-interactions_snowdepth aria-controls=interactions-interactions_snowdepth role=tab data-toggle=tab>snow_depth </option></select></div><div class="tab-content col-sm-10"><div role=tabpanel class="tab-pane col-sm-12 active" id=interactions-interactions_winddir><div class="row variable" style="border: 0px;"><div class=col-sm-3><select class="form-control multiple" role=tablist id=select- multiple><option role=presentation class=active data-target=#interactions_winddir-interactions_winddir_winddir aria-controls=interactions_winddir-interactions_winddir_winddir role=tab data-toggle=tab>wind_dir </option><option role=presentation data-target=#interactions_winddir-interactions_winddir_windspeed aria-controls=interactions_winddir-interactions_winddir_windspeed role=tab data-toggle=tab>wind_speed 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role=presentation data-target=#interactions_winddir-interactions_winddir_tempdeparture aria-controls=interactions_winddir-interactions_winddir_tempdeparture role=tab data-toggle=tab>temp_departure </option><option role=presentation data-target=#interactions_winddir-interactions_winddir_ppt aria-controls=interactions_winddir-interactions_winddir_ppt role=tab data-toggle=tab>ppt </option><option role=presentation data-target=#interactions_winddir-interactions_winddir_newsnow aria-controls=interactions_winddir-interactions_winddir_newsnow role=tab data-toggle=tab>new_snow </option><option role=presentation data-target=#interactions_winddir-interactions_winddir_snowdepth aria-controls=interactions_winddir-interactions_winddir_snowdepth role=tab data-toggle=tab>snow_depth </option></select></div><div class="tab-content col-sm-9"><div role=tabpanel class="tab-pane col-sm-12 active" id=interactions_winddir-interactions_winddir_winddir><?xml version="1.0" encoding="utf-8" 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clip-path=url(#pae0f5f5338)><use style=fill:#f0f1f2;stroke:#f0f1f2; x=392.290909 xlink:href=#C0_0_1fcd4eb0b0 y=141.1875 /></g></g><g id=patch_3><path style=fill:none; d="M 72 346.5 L 72 47.52 "/></g><g id=patch_4><path style=fill:none; d="M 518.4 346.5 L 518.4 47.52 "/></g><g id=patch_5><path style=fill:none; d="M 72 346.5 L 518.4 346.5 "/></g><g id=patch_6><path style=fill:none; d="M 72 47.52 L 518.4 47.52 "/></g></g></g><defs><clippath id=pae0f5f5338><rect height=298.98 width=446.4 x=72 y=47.52 /></clippath></defs></svg></div></div></div></div></div></div></div><div class="row header"><a class=anchor-pos id=correlations></a><h1 class=page-header>Correlations</h1></div><div class=section-items><div class="row spacing"><button id=toggle-correlation-description class="btn btn-default btn-sm" style="float: right" data-toggle=collapse>Toggle correlation descriptions</button><script> var waitForJQuery = setInterval(function () { if (typeof $ != 'undefined') { $(function() { $('#toggle-correlation-description').click(function () { $('.correlation-description').toggle(); $('.correlation-diagram').toggleClass('col-sm-6').toggleClass('col-sm-12'); }).click(); }); clearInterval(waitForJQuery); } }, 10); </script><div style=display:inline><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#correlations_tab-pearson aria-controls=correlations_tab-pearson role=tab data-toggle=tab>Pearson's r</a></li><li role=presentation><a href=#correlations_tab-spearman aria-controls=correlations_tab-spearman role=tab data-toggle=tab>Spearman's ρ</a></li><li role=presentation><a href=#correlations_tab-kendall aria-controls=correlations_tab-kendall role=tab data-toggle=tab>Kendall's τ</a></li><li role=presentation><a href=#correlations_tab-phi_k aria-controls=correlations_tab-phi_k role=tab data-toggle=tab>Phik (φk)</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=correlations_tab-pearson><div 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It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, <em>r</em> is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect <em>r</em>.<br><br>To calculate <em>r</em> for two variables <em>X</em> and <em>Y</em>, one divides the covariance of <em>X</em> and <em>Y</em> by the product of their standard deviations. </div></div></div><div role=tabpanel class="tab-pane col-sm-12" id=correlations_tab-spearman><div class="col-sm-6 correlation-diagram"><?xml version="1.0" encoding="utf-8" standalone="no"?><!DOCTYPE svg class="img-responsive center-img"PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg class="img-responsive center-img" height=396pt version=1.1 viewbox="0 0 576 396" width=576pt xmlns=http://www.w3.org/2000/svg xmlns:xlink=http://www.w3.org/1999/xlink><metadata><rdf:rdf xmlns:cc=http://creativecommons.org/ns# xmlns:dc=http://purl.org/dc/elements/1.1/ 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It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.<br><br>To calculate <em>ρ</em> for two variables <em>X</em> and <em>Y</em>, one divides the covariance of the rank variables of <em>X</em> and <em>Y</em> by the product of their standard deviations. </div></div></div><div role=tabpanel class="tab-pane col-sm-12" id=correlations_tab-kendall><div class="col-sm-6 correlation-diagram"><?xml version="1.0" encoding="utf-8" standalone="no"?><!DOCTYPE svg class="img-responsive center-img"PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg class="img-responsive center-img" height=396pt version=1.1 viewbox="0 0 576 396" width=576pt xmlns=http://www.w3.org/2000/svg xmlns:xlink=http://www.w3.org/1999/xlink><metadata><rdf:rdf xmlns:cc=http://creativecommons.org/ns# xmlns:dc=http://purl.org/dc/elements/1.1/ 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It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation. <br><br>To calculate <em>τ</em> for two variables <em>X</em> and <em>Y</em>, one determines the number of concordant and discordant pairs of observations. <em>τ</em> is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.</div></div></div><div role=tabpanel class="tab-pane col-sm-12" id=correlations_tab-phi_k><div class="col-sm-6 correlation-diagram"><?xml version="1.0" encoding="utf-8" standalone="no"?><!DOCTYPE svg class="img-responsive center-img"PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg class="img-responsive center-img" height=396pt version=1.1 viewbox="0 0 576 396" width=576pt xmlns=http://www.w3.org/2000/svg xmlns:xlink=http://www.w3.org/1999/xlink><metadata><rdf:rdf xmlns:cc=http://creativecommons.org/ns# 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class=text-muted><h3>Phik (φk)</h3>Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available <a href=https://phik.readthedocs.io/en/latest/index.html>here</a>.</div></div></div></div></div></div></div><div class="row header"><a class=anchor-pos id=missing></a><h1 class=page-header>Missing values</h1></div><div class=section-items><div class="row spacing"><ul class="nav nav-tabs" role=tablist><li role=presentation class=active><a href=#missing-bar aria-controls=missing-bar role=tab data-toggle=tab>Count</a></li><li role=presentation><a href=#missing-matrix aria-controls=missing-matrix role=tab data-toggle=tab>Matrix</a></li></ul><div class=tab-content><div role=tabpanel class="tab-pane col-sm-12 active" id=missing-bar><?xml version="1.0" encoding="utf-8" standalone="no"?><!DOCTYPE svg class="img-responsive center-img"PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg class="img-responsive center-img" height=360pt version=1.1 viewbox="0 0 720 360" width=720pt xmlns=http://www.w3.org/2000/svg 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class=anchor-pos id=sample></a><h1 class=page-header>Sample</h1></div><div class=section-items><div class="row spacing"><h2 class=indent>First rows</h2><div id=sample-container class=col-sm-12><table border=1 class="dataframe sample table table-striped"><thead><tr style="text-align: right;"><th></th><th>time_hour</th><th>dep_delay_true</th><th>wind_dir</th><th>wind_speed</th><th>wind_gust</th><th>visib</th><th>temp_max</th><th>temp_min</th><th>temp_ave</th><th>temp_departure</th><th>ppt</th><th>new_snow</th><th>snow_depth</th></tr></thead><tbody><tr><th>0</th><td>2017-01-01T05:00:00Z</td><td>False</td><td>220.0</td><td>11.5078</td><td>13.242946</td><td>10.0</td><td>50.0</td><td>33.0</td><td>41.5</td><td>7.2</td><td>0.01</td><td>0.0</td><td>0.0</td></tr><tr><th>1</th><td>2017-01-01T05:00:00Z</td><td>False</td><td>220.0</td><td>11.5078</td><td>13.242946</td><td>10.0</td><td>50.0</td><td>33.0</td><td>41.5</td><td>7.2</td><td>0.01</td><td>0.0</td><td>0.0</td></tr><tr><th>2</th><td>2017-01-01T06:00:00Z</td><td>False</td><td>230.0</td><td>10.9300</td><td>12.580000</td><td>10.0</td><td>50.0</td><td>33.0</td><td>41.5</td><td>7.2</td><td>0.01</td><td>0.0</td><td>0.0</td></tr><tr><th>3</th><td>2017-01-01T06:00:00Z</td><td>False</td><td>230.0</td><td>10.9300</td><td>12.580000</td><td>10.0</td><td>50.0</td><td>33.0</td><td>41.5</td><td>7.2</td><td>0.01</td><td>0.0</td><td>0.0</td></tr><tr><th>4</th><td>2017-01-01T06:00:00Z</td><td>True</td><td>230.0</td><td>10.9300</td><td>12.580000</td><td>10.0</td><td>50.0</td><td>33.0</td><td>41.5</td><td>7.2</td><td>0.01</td><td>0.0</td><td>0.0</td></tr><tr><th>5</th><td>2017-01-01T06:00:00Z</td><td>False</td><td>230.0</td><td>10.9300</td><td>12.580000</td><td>10.0</td><td>50.0</td><td>33.0</td><td>41.5</td><td>7.2</td><td>0.01</td><td>0.0</td><td>0.0</td></tr><tr><th>6</th><td>2017-01-01T06:00:00Z</td><td>False</td><td>230.0</td><td>10.9300</td><td>12.580000</td><td>10.0</td><td>50.0</td><td>33.0</td><td>41.5</td><td>7.2</td><td>0.01</td><td>0.0</td><td>0.0</td></tr><tr><th>7</th><td>2017-01-01T06:00:00Z</td><td>True</td><td>230.0</td><td>10.9300</td><td>12.580000</td><td>10.0</td><td>50.0</td><td>33.0</td><td>41.5</td><td>7.2</td><td>0.01</td><td>0.0</td><td>0.0</td></tr><tr><th>8</th><td>2017-01-01T06:00:00Z</td><td>True</td><td>230.0</td><td>10.9300</td><td>12.580000</td><td>10.0</td><td>50.0</td><td>33.0</td><td>41.5</td><td>7.2</td><td>0.01</td><td>0.0</td><td>0.0</td></tr><tr><th>9</th><td>2017-01-01T06:00:00Z</td><td>False</td><td>230.0</td><td>10.9300</td><td>12.580000</td><td>10.0</td><td>50.0</td><td>33.0</td><td>41.5</td><td>7.2</td><td>0.01</td><td>0.0</td><td>0.0</td></tr></tbody></table></div></div><div class="row spacing"><h2 class=indent>Last rows</h2><div id=sample-container class=col-sm-12><table border=1 class="dataframe sample table table-striped"><thead><tr style="text-align: right;"><th></th><th>time_hour</th><th>dep_delay_true</th><th>wind_dir</th><th>wind_speed</th><th>wind_gust</th><th>visib</th><th>temp_max</th><th>temp_min</th><th>temp_ave</th><th>temp_departure</th><th>ppt</th><th>new_snow</th><th>snow_depth</th></tr></thead><tbody><tr><th>112437</th><td>2017-12-30T21:00:00Z</td><td>True</td><td>280.0</td><td>10.35702</td><td>11.918651</td><td>10.0</td><td>23.0</td><td>15.0</td><td>19.0</td><td>-15.7</td><td>0.03</td><td>0.5</td><td>0.0</td></tr><tr><th>112438</th><td>2017-12-30T21:00:00Z</td><td>False</td><td>280.0</td><td>10.35702</td><td>11.918651</td><td>10.0</td><td>23.0</td><td>15.0</td><td>19.0</td><td>-15.7</td><td>0.03</td><td>0.5</td><td>0.0</td></tr><tr><th>112439</th><td>2017-12-30T21:00:00Z</td><td>True</td><td>280.0</td><td>10.35702</td><td>11.918651</td><td>10.0</td><td>23.0</td><td>15.0</td><td>19.0</td><td>-15.7</td><td>0.03</td><td>0.5</td><td>0.0</td></tr><tr><th>112440</th><td>2017-12-30T21:00:00Z</td><td>False</td><td>280.0</td><td>10.35702</td><td>11.918651</td><td>10.0</td><td>23.0</td><td>15.0</td><td>19.0</td><td>-15.7</td><td>0.03</td><td>0.5</td><td>0.0</td></tr><tr><th>112441</th><td>2017-12-30T21:00:00Z</td><td>False</td><td>280.0</td><td>10.35702</td><td>11.918651</td><td>10.0</td><td>23.0</td><td>15.0</td><td>19.0</td><td>-15.7</td><td>0.03</td><td>0.5</td><td>0.0</td></tr><tr><th>112442</th><td>2017-12-30T21:00:00Z</td><td>False</td><td>280.0</td><td>10.35702</td><td>11.918651</td><td>10.0</td><td>23.0</td><td>15.0</td><td>19.0</td><td>-15.7</td><td>0.03</td><td>0.5</td><td>0.0</td></tr><tr><th>112443</th><td>2017-12-30T21:00:00Z</td><td>False</td><td>280.0</td><td>10.35702</td><td>11.918651</td><td>10.0</td><td>23.0</td><td>15.0</td><td>19.0</td><td>-15.7</td><td>0.03</td><td>0.5</td><td>0.0</td></tr><tr><th>112444</th><td>2017-12-30T22:00:00Z</td><td>True</td><td>260.0</td><td>6.90468</td><td>7.945768</td><td>10.0</td><td>23.0</td><td>15.0</td><td>19.0</td><td>-15.7</td><td>0.03</td><td>0.5</td><td>0.0</td></tr><tr><th>112445</th><td>2017-12-30T22:00:00Z</td><td>False</td><td>260.0</td><td>6.90468</td><td>7.945768</td><td>10.0</td><td>23.0</td><td>15.0</td><td>19.0</td><td>-15.7</td><td>0.03</td><td>0.5</td><td>0.0</td></tr><tr><th>112446</th><td>2017-12-30T22:00:00Z</td><td>False</td><td>260.0</td><td>6.90468</td><td>7.945768</td><td>10.0</td><td>23.0</td><td>15.0</td><td>19.0</td><td>-15.7</td><td>0.03</td><td>0.5</td><td>0.0</td></tr></tbody></table></div></div></div><div class="row header"><a class=anchor-pos id=duplicate></a><h1 class=page-header>Duplicate rows</h1></div><div class=section-items><div class="row spacing"><h2 class=indent>Most frequent</h2><div id=duplicate-container class=col-sm-12><table border=1 class="dataframe duplicate table table-striped"><thead><tr style="text-align: 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Summary of profile report on weather.

wind_speed and wind_gust are highly positively correlated. As are all the temperature variables, temp_max, temp_min, temp_ave.
Precipitation (ppt) has a very skewed distribution and 48% of the data is zero. The two snow variables, new_snow and snow_depth have 92% zeros in their data columns.
Wind direction has a bimodal distribution.

24% of the flights are delayed and 76% of the flights are not delayed.

Investigating plane information

A pandas profiling report was also run for plane information. (see code)

Summary of profile report on plane information

The type variable is highly correlated with manufacturer and engine, remove this variable.
The manufacturer variable has high cardinality (lots of different categories). Recode this to the top 5 manufacturers, recode NaNs to unknown and set the rest to other.

Feature engineering and data wrangling

Random forest is known to be a good model for flight delay data. I will prepare the data for this model.

Feature engineering

The following features will be changed.

convert wind_speed into a categorical wind_scale using the Beaufort scale
drop columns with high correlation identified in pandas profiling report (wind_gust, temp_max, temp_min)
remove type
recode manufacturer to the top 5 manufacturers, recode NaNs to unknown and set the rest to other
recode hour, month and day as categorical variables
remove other columns not thought to be important for flight delay model (keep dest_airport):
dest_timezone, dest_alt, dest_lon, dest_lat, dest_faa, ori_timezone, ori_lat, ori_lon,
ori_airport, ori_faa, time_hour, minute, hour, dest, tailnum, flight, carrier, arr_delay,
sched_arr_time, arr_time, dep_delay, sched_dep_time, dep_time, day.

Convert weather data types

# add categorical wind_scale for wind_speed
wind_labels = ['Calm', 'Light Breeze', 'Gentle Breeze',
'Moderate Breeze', 'Fresh Breeze', 'Strong Breeze', 'Near Gale',
'Gale']
wind_bins = [0, 3, 7, 12, 18, 24, 31, 38, 46]
flights_all['wind_scale'] = pd.cut(flights_all['wind_speed'],
bins = wind_bins, labels=wind_labels,
include_lowest = True)

weather_drop = ['wind_gust', 'temp_max', 'temp_min']
flights_all_trim = flights_all.drop(columns=weather_drop)

Convert plane data types

flights_all_trim.drop(columns=['type', 'model'], inplace = True)
man_keep = ['Unknown', 'BOEING', 'AIRBUS', 'AIRBUS INDUSTRIE',
'EMBRAER', 'BOMBARDIER INC', 'MCDONNELL DOUGLAS AIRCRAFT CO', 'MCDONNELL DOUGLAS']
flights_all_trim.manufacturer = np.where(flights_all_trim.manufacturer.isin(man_keep),
flights_all_trim.manufacturer, 'Other')

#fix manufacturer doubling for airbus and mcdonnell douglas
flights_all_trim.manufacturer = flights_all_trim.manufacturer.map({
'AIRBUS INDUSTRIE': 'AIRBUS',
'AIRBUS': 'AIRBUS',
'MCDONNELL DOUGLAS': 'MCDONNELL DOUGLAS',
'MCDONNELL DOUGLAS AIRCRAFT CO': 'MCDONNELL DOUGLAS',
'BOEING': 'BOEING',
'EMBRAER': 'EMBRAER',
'BOMBARDIER INC': 'BOMBARDIER INC',
'Unknown': 'Unknown',
'Other': 'Other'})
flights_all_trim.head()

	month	day	dep_time	sched_dep_time	dep_delay	arr_time	sched_arr_time	arr_delay	carrier	flight	...	dest_faa	dest_airport	dest_lat	dest_lon	dest_alt	dest_timezone	carrier_name	manufacturer	engine	wind_scale
0	1	1	545.0	545	0.0	833.0	831	2.0	B6	527	...	MCO	Orlando International Airport	28.429399	-81.308998	96.0	America/New_York	JetBlue Airways	AIRBUS	Turbo-fan	Gentle Breeze
1	1	1	556.0	555	1.0	709.0	714	-5.0	UA	320	...	IAD	Washington Dulles International Airport	38.944500	-77.455803	312.0	America/New_York	United Air Lines Inc.	AIRBUS	Turbo-fan	Gentle Breeze
2	1	1	559.0	600	-1.0	848.0	904	-16.0	AA	1301	...	MIA	Miami International Airport	25.793200	-80.290604	8.0	America/New_York	American Airlines Inc.	Unknown	Unknown	Gentle Breeze
3	1	1	557.0	600	-3.0	853.0	903	-10.0	B6	605	...	FLL	Fort Lauderdale Hollywood International Airport	26.072599	-80.152702	9.0	America/New_York	JetBlue Airways	AIRBUS	Turbo-fan	Gentle Breeze
4	1	1	731.0	655	36.0	830.0	808	22.0	UA	2016	...	BOS	General Edward Lawrence Logan International Ai...	42.364300	-71.005203	20.0	America/New_York	United Air Lines Inc.	AIRBUS	Turbo-fan	Gentle Breeze

5 rows × 43 columns

flights_all_trim.shape

(294167, 43)

Convert timeseries data into categories

flights_all_trim['month_flag'] = flights_all_trim.month.astype(str)
flights_all_trim['month_flag'] = flights_all_trim['month_flag'].map({
'1': 'Jan',
'2': 'Feb',
'3': 'Mar',
'4': 'Apr',
'5': 'May',
'6': 'Jun',
'7': 'Jul',
'8': 'Aug',
'9': 'Sep',
'10': 'Oct',
'11': 'Nov',
'12': 'Dec'})

flights_all_trim.loc[:, 'time_hour'] = pd.to_datetime(flights_all_trim.time_hour, yearfirst=True)
flights_all_trim['weekday'] = flights_all_trim['time_hour'].dt.day_name()
flights_all_trim['hour'] = pd.Categorical(flights_all_trim['hour'], ordered = True)

to_drop=['dest_timezone', 'ori_alt', 'dest_lon', 'dest_lat', 'dest_faa',
'ori_timezone', 'ori_lat', 'ori_lon', 'ori_airport', 'ori_faa', 'time_hour',
'minute', 'dest', 'tailnum', 'flight', 'carrier', 'arr_delay', 'sched_arr_time',
'arr_time', 'dep_delay', 'month', 'sched_dep_time','dep_time', 'day']
flights_model_data = flights_all_trim.drop(columns=to_drop)

Remove data for EWR (Newark) - save the rest of the data for future work, can run the model on the data for the other airports to see how it performs

# split into EWR, and the others
ewr_model_data = flights_model_data.loc[(flights_model_data['origin'] == 'EWR')].copy()

Exploratory Data Analysis

I will start with an overview of departure delays across all airports and then move to delays at EWR, focusing on weather and other factors.

# set figure sizes for all plots
plt.rcParams['figure.figsize'] = [5, 3]
plt.rcParams['figure.dpi'] = 120
plt.rcParams['font.size'] = 10

flights_all_trim.loc[:, 'dep_delay_count'] = flights_all_trim.groupby(['origin', 'month']).dep_delay_true.transform('sum')
flights_all_trim.loc[:, 'total_flight_count'] = flights_all_trim.groupby(['origin', 'month']).dep_delay.transform('count')
flights_all_trim.loc[:, 'percent_delay'] = (flights_all_trim.dep_delay_count / flights_all_trim.total_flight_count) * 100

hue_order = ['EWR', 'JFK', 'LGA']
all_flights_pal = sns.color_palette(['#005083', '#6876a4', '#ffd28f'])
sns.barplot(
x = 'month_flag', y = 'total_flight_count',
hue = 'origin', palette = all_flights_pal,
hue_order = hue_order, data = flights_all_trim)
plt.title("Total flights per month for NY airports in 2017")
plt.xlabel("Month")
plt.ylabel("Total flights")
plt.legend(bbox_to_anchor=(1.01, 1), loc = 2,
borderaxespad=0)
plt.tight_layout()
plt.savefig('figures/all_airports_total_plot.png', pad_inches=0.5);

sns.barplot(
x = 'month_flag', y = 'percent_delay',
hue = 'origin', hue_order = hue_order,
palette = all_flights_pal, data = flights_all_trim)
plt.title("Delayed flights for NY airports in 2017")
plt.xlabel("Month")
plt.ylabel("Percentage of delayed flights")
plt.legend(bbox_to_anchor=(1.01, 1), loc = 2,
borderaxespad=0)
plt.tight_layout()
plt.savefig('figures/all_airports_delays_plot.png', pad_inches=0.5);

sns.pairplot(ewr_model_data,
x_vars=['air_time', 'distance', 'dest_alt'],
y_vars=['air_time', 'distance', 'carrier_name', 'dest_alt'],
hue = 'dep_delay_true',
corner = True);

ewr_all = flights_all_trim.loc[(flights_all_trim['origin'] == 'EWR')].copy().reset_index(drop = True)

# function to create a column with percentage of delayed flights per grouping column (col)
def percent_delay(col):
ewr_all.loc[:, 'dep_delay_per_'+ col] = ewr_all.groupby([col]).dep_delay_true.transform('sum')
ewr_all.loc[:, 'total_flights_per_' + col] = ewr_all.groupby([col]).dep_delay.transform('count')
ewr_all.loc[:, 'percent_delay_per_' + col] = (ewr_all['dep_delay_per_'+ col] / ewr_all['total_flights_per_' + col]) * 100

EDA weather and flight delays

# set custom graph options
line_pal = sns.color_palette(['#f9ab00', '#49006a'])

visib_plot = sns.lineplot(
x = 'month_flag',
y = 'visib',
hue = 'dep_delay_true',
marker = 'o',
ci = False,
palette = line_pal,
data = ewr_all)
plt.xticks(rotation=90)
plt.xlabel('Month')
plt.ylabel('Visibility (miles)')
plt.title('Average monthly visibility for departures')
plt.legend(title='', labels=['On time', 'Delayed'])
plt.tight_layout()
plt.savefig('figures/visib_plot.png', pad_inches=0.5);

sns.lineplot(x = 'month_flag',
y = 'ppt',
hue = 'dep_delay_true',
marker='o',
palette = line_pal,
ci=False,
legend=False,
data = ewr_all)
plt.xticks(rotation=90)
plt.xlabel('Month')
plt.ylabel('Rainfall (inches)')
plt.title('Average monthly rainfall for departures')
#plt.legend(title='', labels=['Not delayed', 'Delayed'])
plt.tight_layout()
plt.savefig('figures/ppt_plot.png', pad_inches=0.5);

sns.lineplot(x = 'month_flag',
y = 'wind_speed',
hue = 'dep_delay_true',
marker='o',
palette = line_pal,
ci = False,
legend = False,
data = ewr_all)
plt.xticks(rotation=90)
plt.xlabel('Month')
plt.ylabel('Wind speed (mph)')
plt.title('Average monthly windspeed for departures')
#plt.legend(title='', labels=['Not delayed', 'Delayed'])
plt.tight_layout()
plt.savefig('figures/windspeed_plot.png', pad_inches=0.5);

sns.lineplot(x = 'month_flag',
y = 'wind_dir',
hue = 'dep_delay_true',
marker='o',
palette = line_pal,
ci = False,
data = ewr_all)
plt.xticks(rotation=90)
plt.xlabel('Month')
plt.ylabel('Wind direction (degrees)')
plt.title('Average monthly wind direction for departures')
plt.legend(title='', labels=['On-time', 'Delayed'])
plt.tight_layout()
plt.savefig('figures/wind_dir_plot.png', pad_inches=0.7);

sns.lineplot(x = 'month_flag',
y = 'temp_departure',
hue = 'dep_delay_true',
marker='o',
palette = line_pal,
data = ewr_all)
plt.xticks(rotation=90)
plt.legend(title='Departure Delay', labels=['No', 'Yes']);

sns.lineplot(x = 'month_flag',
y = 'temp_ave',
marker = 'o',
hue = 'dep_delay_true',
palette = line_pal,
data = ewr_all)
plt.xticks(rotation=90)
plt.xlabel('Month')
plt.ylabel('Temperature (F)')
plt.title('Average monthly temperature for departures')
plt.legend(title='', labels=['On-time', 'Delayed'])
plt.tight_layout()
plt.savefig('./figures/ave_temp_plot.png', pad_inches=0.7);

sns.lineplot(x = 'month_flag',
y = 'snow_depth',
marker='o',
hue = 'dep_delay_true',
palette = line_pal,
ci = False,
data = ewr_all)
plt.xticks(rotation=90)
plt.xlabel('Month')
plt.ylabel('Snow depth (inches)')
plt.title('Depth of snow per month for Newark departures')
plt.legend(title='', labels=['Not delayed', 'Delayed']);

sns.lineplot(x = 'month_flag',
y = 'new_snow',
hue = 'dep_delay_true',
marker='o',
palette = line_pal,
ci = False,
data = ewr_all)
plt.xticks(rotation=90)
plt.xlabel('Month')
plt.ylabel('Amount of new snow (inches)')
plt.title('Snowfall per month for Newark departures')
plt.legend(title='', labels=['Not delayed', 'Delayed']);

Summary

Weather which affects departure delays year round includes wind_speed, rainfall, wind_direction and visib (visibility).
For the winter months, new_snow and snow_depth impact on flight delays.

For the business presentation, graphs were selected which show differences in flight delays over different months.

EDA for other reasons for delays

Carrier delays

percent_delay('carrier_name')
carrier = ewr_all.drop_duplicates(subset=['carrier_name']).reset_index(drop = True)
ordered_data = carrier.sort_values('percent_delay_per_carrier_name').carrier_name

sns.barplot(
x = 'carrier_name',
y = 'percent_delay_per_carrier_name',
color = '#0868ac',
order = ordered_data,
data = carrier)
plt.xticks(rotation=90)
plt.xlabel('')
plt.ylabel('Delayed flights (%)')
plt.title('Delays per airline carrier')
plt.tight_layout()
plt.subplots_adjust(bottom=0.15)
plt.savefig('figures/carrier_delays_plot.png', dpi = 400, pad_inches=0.85, bbox_inches='tight');

percent_delay('weekday')
sns.barplot(y = 'percent_delay_per_weekday',
x = 'weekday',
color = '#7fcdbb',
data = ewr_all)
plt.xticks(rotation=90)
plt.ylabel('Delayed flights (%)')
plt.xlabel('')
plt.title('Delays per day of the week')
plt.tight_layout()
plt.subplots_adjust(bottom=0.15)
plt.savefig('figures/weekdays_plot.png', dpi = 400, pad_inches=0.85, bbox_inches='tight');

percent_delay('hour')
sns.barplot(
y = 'percent_delay_per_hour',
x = 'hour',
color = '#41b6c4',
data = ewr_all)
plt.xticks([0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19],
['1am', '5am', '6am', '7am', '8am', '9am',
'10am', '11am', '12am', '1pm', '2pm', '3pm',
'4pm', '5pm', '6pm', '7pm', '8pm', '9pm', '10pm', '11pm'],
rotation=90)
plt.ylabel('Delayed flights (%)')
plt.xlabel('Hour')
plt.title('Delays per hour')
plt.tight_layout()
plt.subplots_adjust(bottom=0.15)
plt.savefig('figures/hour_plot.png', dpi = 400, pad_inches=0.85, bbox_inches='tight');

percent_delay('manufacturer')
#8c96c6
sns.barplot(y = 'percent_delay_per_manufacturer',
x = 'manufacturer',
color = '#3b528b',
data = ewr_all)
plt.xticks(rotation=90)
plt.ylabel('Delayed flights (%)')
plt.xlabel('')
plt.title('Delays per manufacturer')
plt.tight_layout()
plt.subplots_adjust(bottom=0.15)
plt.savefig('figures/manufacturer_plot.png', dpi = 400, pad_inches=0.85, bbox_inches='tight');

percent_delay('engine')
sns.barplot(y = 'percent_delay_per_engine',
x = 'engine',
color = '#8c6bb1',
data = ewr_all)
plt.xticks(rotation=90)
plt.ylabel('Delayed flights (%)')
plt.xlabel('')
plt.title('Delays per type of plane engine')
plt.tight_layout()
plt.subplots_adjust(bottom=0.15)
plt.savefig('figures/engine_plot.png', dpi = 400, pad_inches=0.85, bbox_inches='tight');

Summary

Many other factors are also involved in departure delays.
Airline carrier, time and month of departure and plane engine show the most variation in terms of total percentage flights which were delayed.

Geospatial data exploration

The data per destination airport needs to be summarised so that it can be plotted on a map.

There are 88 different destination airports in total, all domestic (US).

Possible useful summary visuals:

percentage delayed flights per destination airport sized by total number of flights
percentage delayed flights per destination airport coloured/sized by delay time
percentage delayed flights selecting top 5 delayed airlines on the route

# select all columns useful for geospatial analysis
ewr_geo = ewr_flights.loc[:, ['ori_airport', 'ori_lat', 'ori_lon',
'ori_alt','dest_airport', 'dest_lat', 'dest_lon', 'carrier_name', 'dep_delay',
'dep_delay_true', 'air_time', 'distance', 'hour', 'wind_speed', 'visib']].copy()

# generate percentage delay column per destination for plotting
ewr_geo.loc[:, 'dep_delay_count'] = ewr_geo.groupby(['dest_airport']).dep_delay_true.transform('sum')
ewr_geo.loc[:, 'total_flights_per_dest_airport'] = ewr_geo.groupby(['dest_airport']).dep_delay.transform('count')
ewr_geo.loc[:, 'percent_delay_per_dest_airport'] = (ewr_geo.dep_delay_count / ewr_geo.total_flights_per_dest_airport) * 100
ewr_unique_dest = ewr_geo.drop_duplicates(['dest_airport', 'percent_delay_per_dest_airport']).reset_index(drop = True)
ewr_unique_dest['percent_delay_per_dest_airport'] = ewr_unique_dest['percent_delay_per_dest_airport'].round()
ewr_unique_dest.dropna(inplace = True)

# remove unwanted columns
ewr_unique_dest = ewr_unique_dest.loc[:, ['ori_airport', 'ori_lat', 'ori_lon',
'dest_airport', 'dest_lat', 'dest_lon', 'total_flights_per_dest_airport',
'percent_delay_per_dest_airport']].copy()
ewr_unique_dest = ewr_unique_dest.reset_index(drop = True)

# scale total flights to a value between 1 and 20 for plotting
ewr_unique_dest['scaled_flights_per_dest'] = \
1 + (ewr_unique_dest['total_flights_per_dest_airport'] - \
ewr_unique_dest['total_flights_per_dest_airport'].min())\
/(ewr_unique_dest['total_flights_per_dest_airport'].max() - \
ewr_unique_dest['total_flights_per_dest_airport'].min())\
* 19

# make a color column in the dataset to iterate through in the below folium script
# bin percent delay into 9 and 5
color_hex_labels= ['#f7fcfd', '#e0ecf4', '#bfd3e6',
'#9ebcda', '#8c96c6', '#8c6bb1', '#88419d',
'#810f7c', '#4d004b']
ewr_unique_dest['color_hex_delay'] = pd.cut(ewr_unique_dest['percent_delay_per_dest_airport'],
bins = 9, labels=color_hex_labels,
include_lowest = True)

us_map = folium.Map(location=[40.6925, -74.1687],
zoom_start = 5,
tiles="cartodbpositron")
#iterrows returns index (stored in _) and row which we need
for _, row in ewr_unique_dest.iterrows():
folium.CircleMarker([row['ori_lat'], row['ori_lon']],
radius=5,
fill_color='#005083', # ewr airport colour
stroke=False,
fill_opacity = 1
).add_to(us_map)
folium.CircleMarker([row['dest_lat'], row['dest_lon']],
radius=10,
fill_color=[row['color_hex_delay']], # destination colour
stroke=False,
fill_opacity = 1
).add_to(us_map)
folium.PolyLine([[row['ori_lat'], row['ori_lon']],
[row['dest_lat'], row['dest_lon']]],
color = 'black',
weight= [row['scaled_flights_per_dest']], # size line on total flights
opacity = 0.1
).add_to(us_map)

# create legend for map
legend = branca.colormap.StepColormap(['#f7fcfd', '#e0ecf4', '#bfd3e6',
'#9ebcda', '#8c96c6', '#8c6bb1', '#88419d',
'#810f7c', '#4d004b'],
vmin=6, vmax=54, index=[6, 11, 16, 22, 27, 32, 38, 43, 48, 54],
caption='Percentage of delayed flights')
legend.add_to(us_map)

#view map
us_map

Make this Notebook Trusted to load map: File -> Trust Notebook

Summary of EDA

Many factors involved in departure delays - weather, time of day, airline carrier, destination airport
Uncertain of the importance of each one
Move to a model to gain insight on factors contribution to departure delay