SCENARIO 13-7
the Department Head of the Accounting Department Wanted

question 188

Short Answer

SCENARIO 13-7
The department head of the accounting department wanted to see if she could predict the GPA of students using the number of course units and total SAT scores of each.She takes a sample of 6 students and generates the following Microsoft Excel output: SUMMARY OUTPUT
Regression Statistics
$\begin{array} { l l } \text { Multiple R } & 0.916 \\ \text { R Square } & 0.839 \\ \text { Adjusted R Square } & 0.732 \\ \text { Standard Error } & 0.24685 \\ \text { Observations } & 6 \end{array}$

ANOVA
$\begin{array} { l r c c r c } & d f & \text { SS } & \text { MS } & F & \text { Signif } F \\ \text { Regression } & 2 & 0.95219 & 0.47610 & 7.813 & 0.0646 \\ \text { Residual } & 3 & 0.18281 & 0.06094 & & \\ \text { Total } & 5 & 1.13500 & & & \end{array}$

$\begin{array} { l c r c c } & \text { Coeff } & \text { StdError } & t \text { Stat } & P \text {-value } \\ \text { Intercept } & 4.593897 & 1.13374542 & 4.052 & 0.0271 \\ \text { Units } & - 0.247270 & 0.06268485 & - 3.945 & 0.0290 \\ \text { Total SAT } & 0.001443 & 0.00101241 & 1.425 & 0.2494 \end{array}$
-Referring to SCENARIO 13-7, the department head wants to use a t test to test for the significance of the coefficient of X1.The value of the test statistic is .

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Definitions:

Bayes' Law

A theorem that describes the probability of an event, based on prior knowledge of conditions that might be related to the event.

Conditional Probabilities

Probabilities of events given the occurrence of some other event.

Likelihood Probabilities

The probabilities that reflect the plausibility of different parameter values given the observed data, used in statistical inference.

Posterior Probabilities

The probabilities assigned to outcomes or hypotheses after taking into account known data and a priori probabilities.