Question

Order the following regression techniques in ascending order of variable selected: linear regression, ridge regression, elastic net, and lasso regression.

1) Linear regression, ridge regression, elastic net, lasso regression
2) Lasso regression, elastic net, ridge regression, linear regression
3) Ridge regression, elastic net, lasso regression, linear regression
4) Elastic net, ridge regression, lasso regression, linear regression

Answer 1

The order of the regression techniques in ascending order of variable selected is: Linear regression, ridge regression, elastic net, lasso regression.

Step-by-step explanation:

The order of the regression techniques in ascending order of variable selected is:

1. Linear regression: Involves fitting a straight line to the data.
2. Ridge regression: A modified form of linear regression that includes a penalty term to reduce the impact of multicollinearity in the data.
3. Elastic net: A combination of ridge regression and lasso regression that balances between reducing the impact of multicollinearity and selecting a sparse set of variables.
4. Lasso regression: A technique that performs both variable selection and regularization by adding a penalty term to the least squares objective function.