Consider the following outputs based on fitting a weighted arithmetic mean (WAM) and a weighted power mean with p = 2 (PM)

WAM

RMSE 0.1184

Average L1 error 0.1221

Pearson correlation 0.8290

Spearman correlation 0.8134

i w_i

1 0.234

2 0.128

3 0

4 0.638

PM

RMSE 0.1835

Average L1 error 0.1481

Pearson correlation 0.7312

Spearman correlation 0.7981

i w_i

1 0.2424

2 0

3 0

4 0.7576

Which of the following could be stated about the data that was used for fitting? [Multiple answers could be selected]

Options:

• Better fitting is achieved for functions where the output variable in the data tends toward the higher inputs.

• Better fitting is achieved for functions where the output variable in the data does not tend toward the higher inputs.

• The most influential/useful variable in predicting the output is x₄

• The highest input is allocated the most weight.