For each of the following parts indicate whether we would ge

For each of the following parts, indicate whether we would generally expect the performance of a flexible statistical learning method to be better or worse than an inflexible model.

- The sample size n is extremely large, and the number of predictors p is small. Flexible is better/flexible is worse
- The number of predictors p is extremely large, and the sample size n is small. Flexible is better/flexible is worse
- The relationship between the predictors and response is highly non-linear. Flexible is better/flexible is worse
- The variance of the error terms, i.e. ?2=Var(?), is extremely high. Flexible is better/flexible is worse

Solution

(a)The sample size n is extremely large, and the number of predictors p is small.

Flexible is worse

(b) The number of predictors p is extremely large, and the sample size n is small.

Flexible is worse

(c) The relationship between the predictors and response is highly non-linear.

Flexible is better

(d) The variance of the error terms, i.e. ?2=Var(?), is extremely high.

Flexible is better