Regression analysis was applied between sales data (y in $1000s) and advertising data (x in $100s) and the following information was obtained. $$\begin{array} { l }
\widehat { y } = 12 + 1.8 x \
n = 17 \
\mathrm { SSR } = 225 \
\mathrm { SSE } = 75 \
\mathrm {~s} b _ { 1 } = .2683
\end{array}$$
To perform an F test, the p-value is
A) less than .01.
B) between .01 and .025.
C) between .025 and .05.
D) greater than .10.

Question

Regression analysis was applied between sales data (y in $1000s) and advertising data (x in $100s) and the following information was obtained.   $$\begin{array} { l } 
\widehat { y } = 12 + 1.8 x \
n = 17 \
\mathrm { SSR } = 225 \
\mathrm { SSE } = 75 \
\mathrm {~s} b _ { 1 } = .2683
\end{array}$$  
To perform an F test, the p-value is
A) less than .01.
B) between .01 and .025.
C) between .025 and .05.
D) greater than .10.

Quizplus · Accepted Answer

The F-statistic is calculated as SSR/SSE = 225/75 = 3. Since the F-statistic is relatively high, the p-value is less than .01, indicating strong evidence against the null hypothesis.

Regression Analysis Was Applied Between Sales Data (Y in $1000s)