Question
linear regression: examine data for a set of variables first, then determine if there is a relationship between them. Then, based on the other, such
linear regression: examine data for a set of variables first, then determine if there is a relationship between them.
Then, based on the other, such a relationship can be used to predict one variable.
We want to see if there's a link between a patient's height and their FEV1 value.
Select appropriate independent and dependent variables to create a scatter plot for two variables.
Keep an eye out for any linear relationships. Determine the linear correlation coefficient and explain the direction and strength of the relationship.
For linearity, write null and alternative hypotheses.
What is the r-squared value of the linear equation?
this is the data in text form
age: 9
fev: 1.708
height: 57
Gender: 0
Smoking: 0
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age: 8
fev: 1.724
height: 67.5
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age: 7
fev: 1.72
height: 54.5
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age: 9
fev: 1.558
height: 53
Gender: 1
Smoking: 0
-----
age: 9
fev: 1.895
height: 57
Gender: 1
Smoking: 0
-----
age: 8
fev: 2.336
height: 61
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-----
age: 6
fev: 1.919
height: 58
Gender: 0
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-----
age: 6
fev: 1.415
height: 56
Gender: 0
Smoking: 0
-----
age: 8
fev: 1.987
height: 58.5
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Smoking: 0
-----
age: 9
fev: 1.942
height: 60
Gender: 0
Smoking: 0
-----
age: 6
fev: 1.602
height: 53
Gender: 0
Smoking: 0
-----
age: 8
fev: 1.735
height: 54
Gender: 1
Smoking: 0
-----
age: 8
fev: 2.193
height: 58.5
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.118
height: 60.5
Gender: 1
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-----
age: 8
fev: 2.258
height: 58
Gender: 1
Smoking: 0
-----
age: 7
fev: 1.932
height: 53
Gender: 1
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-----
age: 5
fev: 1.472
height: 50
Gender: 1
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-----
age: 6
fev: 1.878
height: 53
Gender: 0
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-----
age: 9
fev: 2.352
height: 59
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.604
height: 61.5
Gender: 1
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-----
age: 5
fev: 1.4
height: 49
Gender: 0
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-----
age: 5
fev: 1.256
height: 52.5
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-----
age: 4
fev: 0.839
height: 48
Gender: 0
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-----
age: 7
fev: 2.578
height: 62.5
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.988
height: 65
Gender: 0
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-----
age: 3
fev: 1.404
height: 51.5
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-----
age: 9
fev: 2.348
height: 60
Gender: 1
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-----
age: 5
fev: 1.755
height: 52
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-----
age: 8
fev: 2.98
height: 60
Gender: 0
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-----
age: 9
fev: 2.1
height: 60
Gender: 0
Smoking: 0
-----
age: 5
fev: 1.282
height: 49
Gender: 0
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-----
age: 9
fev: 3
height: 65.5
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-----
age: 8
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height: 60
Gender: 0
Smoking: 0
-----
age: 7
fev: 2.093
height: 57.5
Gender: 0
Smoking: 0
-----
age: 5
fev: 1.612
height: 52
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.175
height: 59
Gender: 0
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-----
age: 9
fev: 2.725
height: 59
Gender: 1
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-----
age: 8
fev: 2.071
height: 55
Gender: 1
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-----
age: 8
fev: 1.547
height: 57
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-----
age: 8
fev: 2.004
height: 57
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-----
age: 9
fev: 3.135
height: 60
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.42
height: 59
Gender: 1
Smoking: 0
-----
age: 5
fev: 1.776
height: 51
Gender: 1
Smoking: 0
-----
age: 8
fev: 1.931
height: 57
Gender: 0
Smoking: 0
-----
age: 5
fev: 1.343
height: 50
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.076
height: 57
Gender: 0
Smoking: 0
-----
age: 7
fev: 1.624
height: 54
Gender: 1
Smoking: 0
-----
age: 8
fev: 1.344
height: 52.5
Gender: 0
Smoking: 0
-----
age: 6
fev: 1.65
height: 55
Gender: 1
Smoking: 0
-----
age: 8
fev: 2.732
height: 60.5
Gender: 1
Smoking: 0
-----
age: 5
fev: 2.017
height: 54.5
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.797
height: 61.5
Gender: 0
Smoking: 0
-----
age: 9
fev: 3.556
height: 62
Gender: 1
Smoking: 0
-----
age: 8
fev: 1.703
height: 54.5
Gender: 1
Smoking: 0
-----
age: 6
fev: 1.634
height: 54
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.57
height: 57
Gender: 1
Smoking: 0
-----
age: 9
fev: 3.016
height: 62.5
Gender: 0
Smoking: 0
-----
age: 7
fev: 2.419
height: 60
Gender: 0
Smoking: 0
-----
age: 4
fev: 1.569
height: 50
Gender: 0
Smoking: 0
-----
age: 8
fev: 1.698
height: 57.5
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.123
height: 60
Gender: 1
Smoking: 0
-----
age: 8
fev: 2.481
height: 60
Gender: 0
Smoking: 0
-----
age: 6
fev: 1.481
height: 51
Gender: 0
Smoking: 0
-----
age: 4
fev: 1.577
height: 49
Gender: 0
Smoking: 0
-----
age: 8
fev: 1.94
height: 59
Gender: 1
Smoking: 0
-----
age: 6
fev: 1.747
height: 57.5
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.069
height: 58
Gender: 1
Smoking: 0
-----
age: 7
fev: 1.631
height: 55.5
Gender: 0
Smoking: 0
-----
age: 5
fev: 1.536
height: 52
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.56
height: 60.5
Gender: 0
Smoking: 0
-----
age: 8
fev: 1.962
height: 57
Gender: 1
Smoking: 0
-----
age: 8
fev: 2.531
height: 58
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.715
height: 60
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.457
height: 59
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.09
height: 59.5
Gender: 1
Smoking: 0
-----
age: 7
fev: 1.789
height: 56
Gender: 1
Smoking: 0
-----
age: 5
fev: 1.858
height: 53
Gender: 1
Smoking: 0
-----
age: 5
fev: 1.452
height: 51
Gender: 1
Smoking: 0
-----
age: 9
fev: 3.842
height: 69
Gender: 1
Smoking: 0
-----
age: 6
fev: 1.719
height: 53
Gender: 0
Smoking: 0
-----
age: 7
fev: 2.111
height: 57
Gender: 0
Smoking: 0
-----
age: 6
fev: 1.695
height: 53
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.211
height: 63
Gender: 1
Smoking: 0
-----
age: 8
fev: 1.794
height: 54.5
Gender: 1
Smoking: 0
-----
age: 7
fev: 1.917
height: 58
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.144
height: 63
Gender: 0
Smoking: 0
-----
age: 7
fev: 1.253
height: 52
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.659
height: 61.5
Gender: 1
Smoking: 0
-----
age: 5
fev: 1.58
height: 52.5
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.126
height: 62
Gender: 1
Smoking: 0
-----
age: 9
fev: 3.029
height: 61.5
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.964
height: 64.5
Gender: 1
Smoking: 0
-----
age: 7
fev: 1.611
height: 57.5
Gender: 1
Smoking: 0
-----
age: 8
fev: 2.215
height: 60
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.388
height: 60
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.196
height: 61
Gender: 1
Smoking: 0
-----
age: 9
fev: 1.751
height: 58
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.165
height: 61.5
Gender: 1
Smoking: 0
-----
age: 7
fev: 1.682
height: 55
Gender: 1
Smoking: 0
-----
age: 8
fev: 1.523
height: 55
Gender: 1
Smoking: 0
-----
age: 8
fev: 1.292
height: 52
Gender: 0
Smoking: 0
-----
age: 7
fev: 1.649
height: 54
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.588
height: 63
Gender: 1
Smoking: 0
-----
age: 4
fev: 0.796
height: 47
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.574
height: 60.5
Gender: 0
Smoking: 0
-----
age: 6
fev: 1.979
height: 56
Gender: 1
Smoking: 0
-----
age: 8
fev: 2.354
height: 58.5
Gender: 1
Smoking: 0
-----
age: 6
fev: 1.718
height: 55
Gender: 1
Smoking: 0
-----
age: 7
fev: 1.742
height: 58.5
Gender: 0
Smoking: 0
-----
age: 7
fev: 1.603
height: 51
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.639
height: 59.5
Gender: 0
Smoking: 0
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age: 7
fev: 1.829
height: 54
Gender: 0
Smoking: 0
-----
age: 7
fev: 2.084
height: 58
Gender: 1
Smoking: 0
-----
age: 7
fev: 2.22
height: 58
Gender: 1
Smoking: 0
-----
age: 7
fev: 1.473
height: 52.5
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.341
height: 60.5
Gender: 0
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age: 7
fev: 1.698
height: 54.5
Gender: 0
Smoking: 0
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age: 5
fev: 1.196
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Gender: 0
Smoking: 0
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age: 8
fev: 1.872
height: 56.5
Gender: 0
Smoking: 0
-----
age: 7
fev: 2.219
height: 55
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.42
height: 57
Gender: 1
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age: 7
fev: 1.827
height: 54.5
Gender: 0
Smoking: 0
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age: 7
fev: 1.461
height: 54
Gender: 0
Smoking: 0
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age: 6
fev: 1.338
height: 53
Gender: 1
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age: 8
fev: 2.09
height: 57
Gender: 1
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age: 8
fev: 1.697
height: 59
Gender: 0
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age: 8
fev: 1.562
height: 55
Gender: 1
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-----
age: 9
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height: 55.5
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age: 7
fev: 1.609
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Smoking: 0
-----
age: 8
fev: 2.458
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Gender: 0
Smoking: 0
-----
age: 9
fev: 2.65
height: 63.5
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age: 8
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age: 8
fev: 1.675
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Gender: 1
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fev: 1.947
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age: 8
fev: 2.069
height: 54
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age: 6
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Gender: 1
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-----
age: 6
fev: 1.348
height: 53
Gender: 1
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-----
age: 8
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height: 61.5
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Smoking: 0
-----
age: 9
fev: 1.773
height: 58.5
Gender: 1
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-----
age: 5
fev: 0.791
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Gender: 0
Smoking: 0
-----
age: 7
fev: 1.905
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Gender: 1
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-----
age: 9
fev: 2.463
height: 61
Gender: 0
Smoking: 0
-----
age: 6
fev: 1.431
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Gender: 1
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-----
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Smoking: 0
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fev: 3.114
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fev: 2.135
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-----
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fev: 1.527
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-----
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fev: 2.293
height: 58
Gender: 0
Smoking: 0
-----
age: 9
fev: 3.042
height: 66
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.927
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-----
age: 8
fev: 2.665
height: 64
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.301
height: 58.5
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-----
age: 9
fev: 2.46
height: 64
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.592
height: 60.5
Gender: 0
Smoking: 0
-----
age: 7
fev: 1.75
height: 55
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-----
age: 8
fev: 1.759
height: 53
Gender: 1
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-----
age: 6
fev: 1.536
height: 48
Gender: 1
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age: 9
fev: 2.259
height: 58.5
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fev: 2.571
height: 60.5
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-----
age: 7
fev: 2.046
height: 56
Gender: 1
Smoking: 0
-----
age: 8
fev: 1.78
height: 58.5
Gender: 0
Smoking: 0
-----
age: 5
fev: 1.552
height: 54
Gender: 0
Smoking: 0
-----
age: 8
fev: 1.953
height: 58
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.893
height: 64.5
Gender: 1
Smoking: 0
-----
age: 6
fev: 1.713
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Smoking: 0
-----
age: 9
fev: 2.851
height: 60
Gender: 0
Smoking: 0
-----
age: 6
fev: 1.624
height: 51.5
Gender: 1
Smoking: 0
-----
age: 8
fev: 2.631
height: 59
Gender: 1
Smoking: 0
-----
age: 5
fev: 1.819
height: 53
Gender: 1
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-----
age: 7
fev: 1.658
height: 53
Gender: 1
Smoking: 0
-----
age: 7
fev: 2.158
height: 53.5
Gender: 1
Smoking: 0
-----
age: 4
fev: 1.789
height: 52
Gender: 1
Smoking: 0
-----
age: 9
fev: 3.004
height: 64
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.503
height: 63
Gender: 1
Smoking: 0
-----
age: 9
fev: 1.933
height: 58
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.091
height: 58.5
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.316
height: 59.5
Gender: 0
Smoking: 0
-----
age: 5
fev: 1.704
height: 51
Gender: 0
Smoking: 0
-----
age: 9
fev: 1.606
height: 57.5
Gender: 0
Smoking: 0
-----
age: 7
fev: 1.165
height: 47
Gender: 1
Smoking: 0
-----
age: 6
fev: 2.102
height: 55.5
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.32
height: 57
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.23
height: 61
Gender: 1
Smoking: 0
-----
age: 9
fev: 1.716
height: 55.5
Gender: 1
Smoking: 0
-----
age: 7
fev: 1.79
height: 53.5
Gender: 1
Smoking: 0
-----
age: 5
fev: 1.146
height: 50
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.187
height: 61.5
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.717
height: 61.5
Gender: 1
Smoking: 0
-----
age: 7
fev: 1.796
height: 55
Gender: 1
Smoking: 0
-----
age: 9
fev: 1.953
height: 58
Gender: 1
Smoking: 1
-----
age: 8
fev: 1.335
height: 56.5
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.119
height: 57
Gender: 1
Smoking: 0
-----
age: 6
fev: 1.666
height: 52
Gender: 1
Smoking: 0
-----
age: 6
fev: 1.826
height: 52.5
Gender: 1
Smoking: 0
-----
age: 8
fev: 2.709
height: 62.5
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.871
height: 65
Gender: 1
Smoking: 0
-----
age: 5
fev: 1.092
height: 50
Gender: 0
Smoking: 0
-----
age: 6
fev: 2.262
height: 57.5
Gender: 1
Smoking: 0
-----
age: 6
fev: 2.104
height: 56.5
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.166
height: 57.5
Gender: 0
Smoking: 0
-----
age: 7
fev: 1.69
height: 54
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.973
height: 59.5
Gender: 1
Smoking: 0
-----
age: 8
fev: 2.145
height: 59.5
Gender: 0
Smoking: 0
-----
age: 5
fev: 1.971
height: 58
Gender: 1
Smoking: 0
-----
age: 7
fev: 2.095
height: 57
Gender: 0
Smoking: 0
-----
age: 6
fev: 1.697
height: 55
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.455
height: 60
Gender: 0
Smoking: 0
-----
age: 7
fev: 1.92
height: 56.5
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.164
height: 60
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.13
height: 59
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.993
height: 63
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.529
height: 59
Gender: 0
Smoking: 0
-----
age: 7
fev: 1.726
height: 53
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.442
height: 61.5
Gender: 0
Smoking: 0
-----
age: 4
fev: 1.102
height: 48
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.056
height: 63
Gender: 0
Smoking: 0
-----
age: 5
fev: 1.808
height: 55.5
Gender: 1
Smoking: 0
-----
age: 8
fev: 2.305
height: 64.5
Gender: 0
Smoking: 0
-----
age: 9
fev: 1.969
height: 59
Gender: 0
Smoking: 0
-----
age: 8
fev: 1.556
height: 58.5
Gender: 0
Smoking: 0
-----
age: 3
fev: 1.072
height: 46
Gender: 0
Smoking: 0
-----
age: 9
fev: 2.042
height: 62
Gender: 1
Smoking: 0
-----
age: 8
fev: 1.512
height: 53
Gender: 0
Smoking: 0
-----
age: 6
fev: 1.423
height: 49.5
Gender: 1
Smoking: 0
-----
age: 9
fev: 3.681
height: 68
Gender: 1
Smoking: 0
-----
age: 8
fev: 1.991
height: 59.5
Gender: 1
Smoking: 0
-----
age: 8
fev: 1.897
height: 55.5
Gender: 1
Smoking: 0
-----
age: 7
fev: 1.37
height: 55
Gender: 0
Smoking: 0
-----
age: 6
fev: 1.338
height: 51.5
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.016
height: 56
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.639
height: 63
Gender: 0
Smoking: 0
-----
age: 4
fev: 1.389
height: 48
Gender: 0
Smoking: 0
-----
age: 7
fev: 1.612
height: 56.5
Gender: 1
Smoking: 0
-----
age: 8
fev: 2.135
height: 59
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.681
height: 60.5
Gender: 1
Smoking: 0
-----
age: 9
fev: 3.223
height: 65
Gender: 0
Smoking: 0
-----
age: 6
fev: 1.796
height: 55
Gender: 0
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-----
age: 8
fev: 2.01
height: 55
Gender: 1
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-----
age: 6
fev: 1.523
height: 51
Gender: 0
Smoking: 0
-----
age: 8
fev: 1.744
height: 52.5
Gender: 1
Smoking: 0
-----
age: 9
fev: 2.485
height: 64
Gender: 0
Smoking: 0
-----
age: 8
fev: 2.335
height: 59
Gender: 0
Smoking: 0
-----
age: 7
fev: 1.415
height: 53.5
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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-----
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fev: 5.638
height: 70
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-----
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-----
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fev: 4.27
height: 67
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-----
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fev: 3.727
height: 68
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-----
age: 18
fev: 2.853
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Gender: 0
Smoking: 0
-----
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fev: 2.795
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Gender: 0
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-----
age
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