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TABLE 13-9
It Is Believed That, the Average Numbers

question 62

Multiple Choice

TABLE 13-9
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 from regressing starting salary on number of hours spent studying per day for a sample of 51 students. NOTE: Some of the numbers in the output are purposely erased.
 Regression Stedistics  Multiple R 0.8857 RSquare 0.7845 Adjusted R Square 0.7801 Standard Error 1.3704\begin{array}{ll}\text { Regression Stedistics } \\\hline \text { Multiple R } & 0.8857 \\\text { RSquare } & 0.7845 \\\text { Adjusted R Square } & 0.7801 \\\text { Standard Error } & 1.3704\end{array}

 Observations 51\text { Observations } \quad 51

ANOVAANOVA
dfSSMSF Significance F Regression 1335.0472335.0473178.3859 Residual 1.8782 Total 50427.0798\begin{array}{lccrcc}\hline & 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 & & \\\hline\end{array}


 Coeffcients  Standard Error t Stat p-value  Lower 95% Upper 95%  Intercept 1.89400.40184.71342.051E052.70151.0865 Hours 0.97950.073313.35615.944E180.83211.1269\begin{array}{lccccrr}\hline & \text { Coeffcients } & \text { Standard Error }& t \text { Stat } & p \text {-value } & \text { Lower 95\%} & \text { Upper 95\% } \\\hline \text { Intercept } & -1.8940 & 0.4018 & -4.7134 & 2.051 \mathrm{E}-05 & -2.7015 & -1.0865 \\\text { Hours } & 0.9795 & 0.0733 & 13.3561 & 5.944 \mathrm{E}-18 & 0.8321 & 1.1269 \\\hline\end{array}


-Referring to Table 13-9, to test the claim that average SALARY depends positively on HOURS against the null hypothesis that average SALARY does not depend linearly on HOURS, the p-value of the test statistic is


Definitions:

Fischer Projection

A two-dimensional representation of a three-dimensional organic molecule by projection, displaying chiral centers and spatial configuration.

D-Glucose

A monosaccharide sugar with several key biological roles, often referred to as blood sugar, dextrose, or grape sugar.

Hemiacetal Form

An organic compound characterized by a functional group with a carbon atom connected to one OR group, one OH group, an alkyl chain, and a hydrogen atom, typically formed from the partial reaction of an aldehyde with an alcohol.

Chair Conformation

A term in organic chemistry referring to the most stable conformation of cyclohexane, which resembles a chair.

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