TABLE 14-7
the Department Head of the Accounting Department $\text {SUMMARY OUTPUT}$

Short Answer

TABLE 14-7
The department head of the accounting department wanted to see if she could predict the GPA of students using the number of course units (credits) and total SAT scores of each. She takes a sample of students and generates the following Microsoft Excel output:
$\text {SUMMARY OUTPUT}$
$\begin{array}{ll}\hline \text { Regression Statistics } \\\hline \text { Multiple R }& 0.916 \\ \text { R Square} & 0.839 \\ \text { Adjusted R Square} & 0.732 \\ \text { Standard Error }& 0.24685 \\ \text { Observations} & 6 \\\hline\end{array}$

ANOVA
$\begin{array}{lccclc}\hline & \text {d f }& \text { SS }& \text { M S } & \text { F } & \text {Significance F } \\\hline \text { Regression} & 2 & 0.95219 & 0.47610 & 7.813 & 0.0646 \\ \text {Residual} & 3 & 0.18281 & 0.06094 & & \\ \text {Total} & 5 & 1.13500 & & & \\\hline\end{array}$

$\begin{array}{lrcrr}\hline & \text {Coefficients }& \text {Standard Error} & \text {t Stat } & \text { p -value} \\\hline \text { Intercept }& 4.593897 & 1.13374542 & 4.052 & 0.0271 \\ \text {Units }& -0.247270 & 0.06268485 & -3.945 & 0.0290 \\ \text {SAT Total }& 0.001443 & 0.00101241 & 1.425 & 0.2494 \\\hline\end{array}$

-Referring to Table 14-7, the department head wants to use a t test to test for the significance of the coefficient of X1. The p-value of the test is_____ .