8
AssignmentMultiple Choice

R-squared and s

Question 8 • DRHS GA-Statistical Reasoning

The value of s for a relationship between number of seconds, x, and number of jumping jacks of an athlete, y, is calculated as 3.0725.Which of the following statements is the best interpretation of s?

Answer
A
The average residual is about 3.0725 seconds.
B
The average residual is about 3.0725 jumping jacks.
C
The average residual is about 0.0725 seconds.
D
The average residual is about 0.0725 jumping jacks.

Explanation

The value s describes the typical size of the residuals, and it is measured in the units of y. Here, y is the number of jumping jacks, so 3.0725 is in jumping jacks—not seconds. Thus the best choice is “The average residual is about 3.0725 jumping jacks,” although s more precisely describes a typical residual size rather than the average residual.

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