Use glmnet() to fit LASSO models for a collection of values (as automatically selected...
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Use glmnet() to fit LASSO models for a collection of values (as automatically selected by glmnet()). Plot the resulting object to display the model coefficients as a function of their L1 norm. Interpret this plot. IN RSTUDIO
Use cv.glmnet() to explore how the estimated Mean Squared Error changes as a function of the shrinkage parameter, . Plot the resulting object and interpret this plot. IN RSTUDIO
Select a value that corresponds to a model exhibiting an appropriate trade-off between performance and regularisation. What are the corresponding model coefficients for this model? IN RSTUDIO
Fit a multiple regression model using only those variables suggested by the LASSO model you described in the previous item. Briefly explain how and why the model coefficients for this multiple regression model are different to the LASSO model coefficients? IN RSTUDIO
id
x1
x2
x3
x4
x5
x6
x7
x8
x9
x10
x11
x12
x13
x14
x15
x16
x17
x18
x19
x20
x21
x22
x23
1
2
0
1
1
1
8.5
3.9
2.5
5.9
4.8
4.9
6
6.8
4.7
4.3
5
5.1
3.7
8.2
8
8.4
65.1
1
2
3
1
0
0
0
8.2
2.7
5.1
7.2
3.4
7.9
3.1
5.3
5.5
4
3.9
4.3
4.9
5.7
6.5
7.5
67.1
0
3
3
0
1
1
1
9.2
3.4
5.6
5.6
5.4
7.4
5.8
4.5
6.2
4.6
5.4
4
4.5
8.9
8.4
9
72.1
1
4
1
1
1
1
0
6.4
3.3
7
3.7
4.7
4.7
4.5
8.8
7
3.6
4.3
4.1
3
4.8
6
7.2
40.1
0
5
2
0
1
0
1
9
3.4
5.2
4.6
2.2
6
4.5
6.8
6.1
4.5
4.5
3.5
3.5
7.1
6.6
9
57.1
0
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