For each additional year of age, mean predicted price decreases by $2,100 Slope estimates change in mean y per 1-unit change in x: each year older, mean price drops by 2.1 thousand dollars = $2,100.

Slope is meaningless if negative

For each additional year of age, mean predicted price decreases by $2,100

For each additional dollar, age decreases 2.1 years

Justifying a Claim About the Slope of a Regression Model

AP Statistics· difficulty 2/5

A regression of car price (thousand $) on age (years) gives slope = -2.1.

Best interpretation?

A
$Slope is meaningless if negative$
B
$For each additional year of age, mean predicted price decreases by $2,100$
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C
$Cars cost $2.1 less per year$
D
$For each additional dollar, age decreases 2.1 years$

Explanation

Slope estimates change in mean y per 1-unit change in x: each year older, mean price drops by 2.1 thousand dollars = $2,100.

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