Answer:
The correct option is c.
Step-by-step explanation:
The given regression output is
[tex]\widehat{Test Score}=698.9-2.28\times STR[/tex] ... (1)
The standard error on the slope is 0.48.
The slope intercept form of regression line is
[tex]Y=B_0+B_1x[/tex] .... (2)
The test statistic is a t statistic (t) defined by the following equation.
[tex]t=\frac{B_1}{SE}[/tex] ... (3)
From (1) and (2) we get
[tex]B_0=698.9,B_1=-2.28[/tex]
Substitute [tex]B_1=-2.28[/tex] and SE=0.48 in equation (3).
[tex]t=\frac{-2.28}{0.48}[/tex]
[tex]t=-4.75[/tex]
So, the F-statistics is
[tex]F-statistics = t^2[/tex]
[tex]F-statistics = (-4.75)^2[/tex]
[tex]F-statistics =22.56[/tex]
Therefore the correct option is c.
