Instruction 12 $\text { Regression statistics }$ Note: 2051E-05 = 2

question 22

Multiple Choice

Instruction 12.8
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 Microsoft 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.
$\text { Regression statistics }$
$\begin{array}{|l|l|}\hline\text { MultipleR } & 0.8857 \\\hline \text { R Square } & 0.7845 \\\hline \begin{array}{l}\text { Adjusted R } \\\text { Square }\end{array} & 0.7801 \\\hline \text { Standard Error } & 1.3704 \\\hline \text { Observations } & 51\\\hline\end{array}$

$\begin{array}{l}\text { ANOVA }\\\begin{array}{|l|l|l|l|l|l|l|}\hline & d f & 55 & \text { MS } & F & \begin{array}{l}\text { Significance } \\F\end{array} & \\\hline \text { Regression } & 1 & 335.0472 & 335.0473 & 178.3859 & & \\\hline \text { Residual } & & & 1.8782 & & & \\\hline \text { Total } & 50 & 427.0798 & & & & \\\hline\end{array}\end{array}$

$\begin{array}{|l|l|l|l|l|l|l|}\hline & \text { Coefficients } & \begin{array}{l}\text { Standard } \\\text { Error }\end{array} & \text { tStat } & \text { p-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & -1.8940 & 0.4018 & -4.7134 & 2.051 \mathrm{E}-05 & -2.7015 & -1.0865 \\\hline \text { Hours } & 0.9795 & 0.0733 & 13.3561 & 5.944 \mathrm{E}-18 & 0.8321 & 1.1269 \\\hline\end{array}$ Note: 2.051E-05 = 2.051 * 10S1^-0.5 and 5.944E-18 = 5.944 * 10S1^-18.
-Referring to Instruction 12.8,the error sum of squares (SSE) of the above regression is

• A) 427.079804.
• B) 92.0325465.
• C) 1.878215.
• D) 335.047257.

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Definitions:

Expected Values

The mean of a probability distribution, representing the average outcome one expects to see if an experiment is repeated many times.

Sports Preference

Individuals' inclination or enjoyment towards specific sports, reflecting personal choices or cultural influences.

Significance Level

The probability of rejecting the null hypothesis when it is actually true, used in hypothesis testing as a threshold for making decisions.

Job Satisfaction

The level of contentment a person feels regarding their job.