Salary
Data Was Collected from 40 Employees to Develop a Regression

question 58

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 Gender variable at the 0.05 significance level,what is the appropriate conclusion?

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Definitions:

Aldosterone

A hormone produced by the adrenal gland that helps regulate blood pressure by controlling sodium and potassium levels in the body.

ADH

Antidiuretic hormone, also known as vasopressin, a hormone that regulates the body's retention of water by increasing the concentration of water in the blood.

Urine Osmolality

A measure of the concentration of solutes in urine, which can provide insight into the body's water balance and kidney function.

Urine Volume

The total amount of urine excreted by the kidneys over a specified period, an important indicator of kidney and overall fluid balance.