Justifying a Claim About the Slope of a Regression Model

AP Statistics· difficulty 4/5

A regression yields a tiny slope of 0.005 with p = 0.001 due to large n = 5000.

What is the best interpretation?

A
$Cannot be statistically significant$
B
$Slope is huge$
C
$Sample size is irrelevant$
D
$Statistically significant but possibly not practically meaningful$
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Explanation

Large samples can detect even very small effects as significant. Practical significance must be considered separately from statistical significance.

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