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AP Statistics/Unit 2: Exploring Two-Variable Data
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Linear Regression Slope Interpretation

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A study examined the relationship between xx, the number of a person’s close friends, and yy, the number of times they check Facebook in an evening. The resulting least-squares regression equation is y^=−1.73+0.5492x\hat{y} = -1.73 + 0.5492x. Which of the following statements provides the best interpretation of the slope of the regression line?

A

The slope value suggests that the relationship between the studied variables is non-linear.

B

For each additional evening Facebook check, the average number of close friends increases by approximately 0.5492.

C

The slope indicates that when there are zero close friends, the predicted number of Facebook checks is 0.5492.

D

For each additional close friend, the average number of evening Facebook checks increases by approximately 0.5492.

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