Justifying a Claim About the Slope of a Regression Model

AP Statistics· difficulty 3/5

A regression of weight (lb) on height (in) gives slope b = 4.5 with 95% CI (3.0, 6.0).

Best interpretation of the CI?

A
$We are 95% confident that for each 1-inch increase in height, the mean weight increases by between 3.0 and 6.0 lb$
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B
$Probability the slope is between 3 and 6 is 95%$
C
$Slope is exactly 4.5$
D
$95% of all individuals weigh between 3 and 6 lb$

Explanation

A confidence interval for slope in a regression context refers to mean change in y per unit change in x.

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