Consider the following outputs based on fitting a weighted arithmetic mean (WAM) and a weighted power mean
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Question:
Consider the following outputs based on fitting a weighted arithmetic mean (WAM) and a weighted power mean with p = -2 (PM)
WAM
RMSE0.1513
Average L1 error0.1307
Pearson correlation0.8372
Spearman correlation0.7541
i w_i
10.1266
20.3733
30.2085
40.2916
PM
RMSE0.1199
Average L1 error0.1249
Pearson correlation0.8356
Spearman correlation0.7174
i w_i
10.0769
20.3847
30.2308
40.3076
Which of the following could be stated about the data that was used for fitting, if we prefer minimising the gaps between the fitted value and true value? [Multiple answers could be selected]
Options:
- Better fitting is achieved for functions where the output variable in the data tends toward the lower inputs.
- Better fitting is achieved for functions where the output variable in the data does not tend toward the lower inputs.
- The most influential/useful variable in predicting the output is x2
- The highest input is allocated the most weight.
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