SCENARIO 12-9
It Is Believed That, the Average Numbers of Hours

question 37

Short Answer

SCENARIO 12-9
It is believed that, the average numbers of hours spent studying per day (HOURS) during undergraduate education should have a positive linear relationship with the starting salary (SALARY, measured in thousands of dollars per month) after graduation.Given below is the Excel output for predicting starting salary (Y) using number of hours spent studying per day (X) for a sample of 51 students.NOTE: Only partial output is shown. $\begin{array}{lr}{\text { Regression Statistics }} \\\hline \text { Multiple R } & 0.8857 \\\text { R Square } & 0.7845 \\\text { Adjusted R Square } & 0.7801 \\\text { Standard Error } & 1.3704 \\\text { Observations } & 51 \\\hline\end{array}$
ANOVA
$\begin{array}{lrrrrr} & d f & S S & M S & F & \text { Significance F } \\\hline \text { Regression } & 1 & 335.0472 & 335.0473 & 178.3859 \\\text { Residual } & & & 1.8782 & \\\text { Total } & 50 & 427.0798 & &\end{array}$

$\begin{array}{lrrrrrrr} & \text { Coefficients } & \text { standered Error } & \text { tStat } & \text { P-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & -1.8940 & 0.4018 & -4.7134 & 0.0000 & -2.7015 & -1.0865 \\\text { Hours } & 0.9795 & 0.0733 & 13.3561 & 0.0000 & 0.8321 & 1.1269\end{array}$ Note: 2.051E - 05 = 2.051 *10-05 and 5.944 E - 18 = 5.944 *10-18 .
-Referring to Scenario 12-9, the p-value of the measured F-test statistic to test whether HOURSaffects SALARY is .

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Definitions:

Depth Cue

A visual or auditory signal that the brain interprets to gauge the distance of an object, helping to perceive three-dimensional space.

Monocular Depth Cue

A visual cue that helps to perceive depth using one eye, such as size, texture gradient, and overlap.

Interposition

A visual cue in which an object partially blocks another, helping to perceive depth.

Ponzo Illusion

An optical illusion where two identical lines appear to be different lengths due to their contextual background, demonstrating depth perception discrepancies.