Repeat the analysis of Problem 1 but using glmnet with \(\alpha=0.75\).

Data From Problem 1:

The dependent variable of interest is the inflation, consumer price index all items, which is CPIAUCSL. The predictors consist of the first 6 lagged values of all 122 variables available. Perform a Lasso linear regression analysis on the data, including coefficient profile plot and the CV plot. Use CV to select the optimal penalty parameter. Plot the resulting estimated coefficients \(\hat{\beta}_{i}\) of the Lasso regression.