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Chapter 3: Q. 5.1 (page 181)

For the least-squares regression of fat gain on NEA,r2=0.606. Which of the following gives a correct interpretation of this value in context?

(a) 60.6%of the points lie on the least-squares regression line.

(b) 60.6%of the fat gain, values are accounted for by the least-squares line.

(c) 60.6%of the variation in fat gain is accounted for by the least-squares line.

(d) 77.8%of the variation in fat gain is accounted for by the least-squares line.

Short Answer

Expert verified

The correct option is (c) 60.6%of the variation in fat gain is accounted for by the least-squares line.

Step by step solution

01

Given Information

The coefficient of determination r2for the regression equation fat gain on NEA is 0.606.

02

Explanation

This is a measure of how much variation on a response variable can be explained by the predictor variable.

The NEA explains 60.6%of the variation in fat gain, as indicated by the coefficient of determination.

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