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AP® Statistics

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Moderate

Regression Computer Output

APSTAT-WEF1FV

Suppose bivariate data was collected on NFL quarterbacks’ fantasy football points during the current year (Y) compared to the fantasy points of the year before (X).

Twenty quarterbacks were selected for this data. Summary data is as follows for the linear equation $y = a+bx$.

b = $0.6776$
a = $0.2305$
${ SE }_{ b }= 0.08807$

A $99\%$ linear regression T-interval

A

Captures $1$, which fails to give evidence of any positive correlation between current year and previous year fantasy points.

B

Does NOT capture $0$, failing to give evidence of a positive linear relationship.

C

Does NOT capture $1$, failing to give evidence of any positive linear correlation between current year and previous year fantasy points.

D

Captures $0$, failing to give evidence of a positive linear relationship.

E

Is entirely above $0$, giving evidence of a positive linear relationship.