Regression analysis was applied between sales data (y in $1000s) and advertising data (x in $100s) and the following information was obtained. $$\begin{array} { l }
\widehat { y } = 12 + 1.8 x \
n = 17 \
\mathrm { SSR } = 225 \
\mathrm { SSE } = 75 \
\mathrm {~s} b _ { 1 } = .2683
\end{array}$$ The critical t value for testing the significance of the slope, at a .05 level of significance, is
A) 1.753.
B) 2.131.
C) 1.746.
D) 2.120.

Question

Regression analysis was applied between sales data (y in $1000s) and advertising data (x in $100s) and the following information was obtained.   $$\begin{array} { l } 
\widehat { y } = 12 + 1.8 x \
n = 17 \
\mathrm { SSR } = 225 \
\mathrm { SSE } = 75 \
\mathrm {~s} b _ { 1 } = .2683
\end{array}$$ The critical t value for testing the significance of the slope, at a .05 level of significance, is
A) 1.753.
B) 2.131.
C) 1.746.
D) 2.120.

Quizplus · Accepted Answer

The critical t value is determined by the degrees of freedom (n-2) and the significance level. With n = 17, degrees of freedom = 15. For a two-tailed test at the 0.05 significance level, the critical t value is approximately 2.131.

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