Question

Based on goodness-of-fit measures, what is the percentage of the sample variation unexplained by Model 2?

Multiple Choice
a- 53.35%
b-73.44%
c- 62.90%
d-46.65%

Answer 1

The percentage of the sample variation unexplained by Model 2 is c) 62.90%.

Step-by-step explanation:

The percentage of the sample variation unexplained by Model 2 is 62.90%.

To find this percentage, we need to subtract the coefficient of determination (r²) from 1 and then multiply by 100. In this case, the coefficient of determination is 0.4397. So, the percentage of unexplained variation is (1 - 0.4397) * 100 = 56.03%. However, this percentage refers to the variation unexplained by the regression line, not by Model 2.

To determine the unexplained variation by Model 2, we subtract the coefficient of determination for Model 2 from 1. If the coefficient of determination for Model 2 is 0.3705, then the percentage of unexplained variation by Model 2 is (1 - 0.3705) * 100 = 62.90%.