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

question 309

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 analyst wants to use a t test to test for the significance of the
coefficient of $X _ { 3 }$ . The value of the test statistic is ________.

Understand the principles of revenue retrieval analysis for product comparison.

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Definitions:

Standard Deviation

A measure of the distribution of data points around the mean, indicating how spread out the data points are.

Frequency Distribution

An organized tabulation of the number of instances that each value or category of a variable occurs in a data set.

GMAT Scores

Numerical scores resulting from taking the Graduate Management Admission Test, used by graduate business schools for admissions purposes.

Mean Score

A statistical metric representing the average value of a set of numbers.