Consider the following regression based on hypothetical data. We hypothesize tha

Question

Consider the following regression based on hypothetical data. We hypothesize that age, height, and income affect people’s weight. So we run a regression analysis of data from a random sample of 25 people, with weight (in pounds) as the dependent variable and age (x variable 1, in years), height (x variable 2, in inches), and income (x variable 3, in $1,000) as the independent variables. Here is part of the regression output from Excel:

Regression Statistics

Which of the following statements is true?

a. About 72% of the variance in weight is explained by age, heights, and income

b. About 28% of the variance in weight is not explained by age, heights, and income

c. About 72% of the variance in income is explained by age, height, and weight

d. About 28% of the variance in income is not explained by age, heights, and weight

e. Both a and b are correct

Multiple R 0.84897499 R Square 0.72075853 Adjusted R Square 0.68086689 Standard Error 8.1862544 Observations 25

Explanation / Answer

Explanation: About 72% of the variance in the dependent variable 'Weight" is explained by the independent variables by age, height and income. The statement (a) is true according to the multiple regression analysis.

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