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AP® Statistics

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Weight and Height

APSTAT-1F7EPT

A researcher wanted to investigate the potential relationship between subjects’ weight and height.

After measuring $15$ individuals, the researcher found heights average $68$ inches with a standard deviation of $3.4$ inches. Weights averaged $204$ pounds with a standard deviation of $24.5$ pounds. The correlation coefficient was r = $0.76$.

What is the equation of the least squares regression line?

A

$\text{Weight = 5.48(Height)} -168.64$

B

$\text{Weight = 204(Height)} -168.84$

C

$\text{Height = 5.48(Weight)} -168.84$

D

$\text{Weight = 68(Height)} +24.5$

E

$\text{Weight = 45(Height)} -24.5$