Use the following information for questions 37 and 38. Twenty consumers reported
ID: 3061788 • Letter: U
Question
Use the following information for questions 37 and 38. Twenty consumers reported yearly income (X) and the amount of money they spent dining out in a year (Y). A regression analysis provides the following data: SSR=770.20, SSE=550.1.
Question 38 (1 point)
What is the value of the coefficient of determination (r2)?
2.0924
0.5834
0.3869
0.4779
0.7142
Question 39 (1 point)
Which of the following statements is correct?
About 71% of the variance in the amount of money consumers spent on dining out can be explained by consumers' yearly income.
About 58% of the variance in the amount of money consumers spent on dining out can be explained by the consumer's yearly income.
About 42% of the variance in the amount of money consumers spent on dining out can be explained by consumers' yearly income. The variance in the amount of money consumers spent on dining out cannot be explained by the consumers' yearly income.
none of the above.
Explanation / Answer
#38.
SST = SSR + SSE = 770.2 + 550.1 = 1320.3
r2 = SSR/SST = 770.2/1320.3 = 0.5834
#39.
"r2 ×100 percent of the variation in y is 'explained by' the variation in predictor x."
About 58% of the variance in the amount of money consumers spent on dining out can be explained by the consumer's yearly income
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