Least Squares Regression

AP Statistics· difficulty 2/5

Output is shown for a regression of sales on ad spend.

Regression of Sales on Ad Spend y-hat = 200 + 12 x r = 0.85 R-Sq = 72.25%

Which is the best interpretation of r-squared?

  • A

    About 72% of advertisements lead to sales

  • B

    Sales increase by 72% per ad dollar

  • C

    The model predicts sales correctly 72% of the time

  • D

    About 72% of the variation in sales is explained by the linear regression on ad spend

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Explanation

r-squared is the proportion of variability in the response (sales) accounted for by the linear model with the predictor (ad spend).

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