SCENARIO 17-3 a Financial Analyst Wanted to Examine the Relationship $\$ 1,000$

question 184

Short Answer

SCENARIO 17-3 A financial analyst wanted to examine the relationship between salary (in $\$ 1,000$ ) and 4 variables: age $\left( X _ { 1 } = \mathrm { Age } \right)$ , experience in the field $\left( X _ { 2 } = \right.$ Exper $)$ , number of degrees $\left( X _ { 3 } = \right.$ Degrees $)$ , and number of previous jobs in the field ( $X _ { 4 } =$ Prevjobs). He took a sample of 20 employees and obtained the following Microsoft Excel output:

SUMMARY OUTPUT

$\begin{array}{ll}{\text { Regression Statistics }} \\\text { Multiple R } & 0.992 \\\text { R Square } & 0.984 \\\text { Adjusted R Square } & 0.979 \\\text { Standard Error } & 2.26743 \\\text { Observations } & 20\end{array}$


$\begin{array}{lrrrrr} & d f &{\text { SS }} & \text { MS } & F & \text { Signif } F \\\text { Regression } & 4 & 4609.83164 & 1152.45791 & 224.160 & 0.0001 \\\text { Residual } & 15 & 77.11836 & 5.14122 & & \\\text { Total } & 19 & 4686.95000 & & &\end{array}$

$\begin{array}{lrrrr} & {\text { Coeff }} & \text { StdError } & {\text { Stat }} & \text { P-value } \\\text { Intercept } & -9.611198 & 2.77988638 & -3.457 & 0.0035 \\\text { Age } & 1.327695 & 0.11491930 & 11.553 & 0.0001 \\\text { Exper } & -0.106705 & 0.14265559 & -0.748 & 0.4660 \\\text { Degrees } & 7.311332 & 0.80324187 & 9.102 & 0.0001 \\\text { Prevjobs } & -0.504168 & 0.44771573 & -1.126 & 0.2778\end{array}$
-Referring to Scenario 17-3, the estimate of the unit change in the mean of Y per unit change in $X _ { 4 }$ , taking into account the effects of the other 3 variables, is ________.

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Definitions:

Statistics

A set of tools and techniques used for describing, organizing, and interpreting data or information.

Relationships

Connections or associations between two or more people, which can be personal, professional, or otherwise, and influence social interactions.

Histogram

Graph that uses vertical bars to represent the frequencies of a set of variables. The measured values found within the distribution are listed on the horizontal axis (x-axis) and frequency counts are placed on the vertical axis (y-axis).

Bar Graph

A chart that represents categorical data with rectangular bars with lengths proportional to the values they represent.