Salary
Data Was Collected from 40 Employees to Develop a Regression

question 69

Essay

Salary
Data was collected from 40 employees to develop a regression model to predict the employee's annual salary using their years with the company (Years),their starting salary (Starting),and their Gender (Male = 0,Female = 1).The results from Excel regression analysis are shown below:
$$\begin{array}{l}\begin{array} { l r } \hline { \text { RegresionSlalinlics } } \\\hline \text { Multiple R } & \text { 0.719714957 } \\\text { R Square } & \text { 0.516551199 } \\\text { Adjusted R Square } & 0.476253780 \\\text { Standard Errar } & 10515.63461 \\\text { Dbservations } & 40 \\\hline\end{array}\\\end{array}$$

$\text { ANOVA }$
$\begin{array}{lrrrrrr}\hline & \text { of } & & \text { SS } & \text { MS } & F & \text { Significance } F \\\hline \text { Regression } & 3 & 4334682510 & 1444894170 & 12.82165585 & 7.48476 \mathrm{E}-06 \\\text { Residual } & 36 & 4056901131 & 112691698.1 & & \\\text { Total } & 39 & 8391583641 & & & \\\hline\end{array}$

$\begin{array}{lcrrr}\hline & \text { Coefficients } &{\text { Standard Error }} & {t \text { Stat }} &{P \text {-value }} \\\hline \text { Intercept } & 27946.57894 & 4832.438706 & 5.783121245 & 1.35464 \mathrm{E}-06 \\\text { Years } & 1665.251558 & 425.0829092 & 3.917474737 & 0.000383313 \\\text { Starting } & 0.266374185 & 0.12610443 & 2.112330112 & 0.041661598 \\\text { Gender } & -3285.541043 & 5617.145392 & -0.584912943 & 0.56225464\end{array}$


-In testing the significance of the partial regression coefficient associated with the Starting variable at the 0.05 significance level,what is the appropriate conclusion?

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Definitions:

Mental Rotation Task

A cognitive spatial task that involves rotating mental representations of two-dimensional and three-dimensional objects to match or identify them.

Variance

A statistical measure that represents the dispersion of a dataset relative to its mean, indicating how spread out the data points are.

SAT Scores

Standardized test results used primarily in the United States for college admissions, assessing readiness and predicting academic success.

National Average

Statistical measure that represents the average value of a particular variable or set of data across an entire nation.