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

question 3

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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 Statistics  Multiple R 0.8857 R Square 0.7845 Adjusted R Square 0.7801 Standard Error 1.3704 Observations 51\begin{array}{l}\text { Regression Statistics }\\\begin{array} { l c } \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}\end{array}
 ANOVA \text { ANOVA }
 df  SS  MS  Significance F  Regression 1335.0472335.0473178.3859 Residual 1.8782 Total 50427.0798\begin{array}{llcc}\hline&\text { df }&\text { SS } &\text { MS }&\text {F }&\text { Significance F } \\\text { Regression } & 1 & 335.0472 & 335.0473 & 178.3859 \\\text { Residual } & & & 1.8782 & \\\text { Total } & 50 & 427.0798 & &\end{array}
-Referring to Table 13-9, the value of the measured t-test statistic to test whether average SALARY depends linearly on HOURS is  Coefficients  Standaad 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} { l r c c c r r } & \text { Coefficients } & \text { Standaad 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}


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