Salary
Data Was Collected from 40 Employees to Develop a Regression

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:
$$\begin{array}{l}\begin{array} { l r } \hline { \text { RegresionSlalinlics } } \\\hline \text { Multiple R } & \text { 0.719714957 } \\\text { R Square } & \text { 0.516551199 } \\\text { Adjusted R Square } & 0.476253780 \\\text { Standard Errar } & 10515.63461 \\\text { Dbservations } & 40 \\\hline\end{array}\\\end{array}$$

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

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


-For a male employee with 5 years of experience and a starting salary of $30,000,what is the approximate 95% confidence interval for his annual salary?