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SCENARIO 13-8
a Financial Analyst Wanted to Examine the Relationship

question 57

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SCENARIO 13-8
A financial analyst wanted to examine the relationship between salary (in $1,000) and 2 variables: age (X1 = Age) and experience in the field (X2 = Exper).He took a sample of 20 employees and obtained the following Microsoft Excel output:  Regression Statistics  Multiple R 0.8535 R Square 0.7284 Adjusted R Square 0.6964 Standard Error 10.5630 Observations 20 ANOYA df SS  MS  F  Siqnificonce F  Regression 25086.57642543.288222.79410.0000 Residual 171896.8050111.5768 Total 196983.3814 Coefficients  Standard Error t Stat  P-value  Lower 95%  Upper 95%  Intercept 1.57409.27230.16980.867217.988821.1368 Age 1.30450.19566.66780.00000.89171.7173 Exper 0.14780.19440.76040.45740.55800.2624\begin{array}{l}\begin{array} { l r } \hline { \text { Regression Statistics } } \\\hline \text { Multiple R } & 0.8535 \\\text { R Square } & 0.7284 \\\text { Adjusted R Square } & 0.6964 \\\text { Standard Error } & 10.5630 \\\text { Observations } & 20 \\\hline\end{array}\\\\\text { ANOYA }\\\begin{array} { l r c c c c } & d f & \text { SS } & \text { MS } & \text { F } & \text { Siqnificonce F } \\\hline \text { Regression } & 2 & 5086.5764 & 2543.2882 & 22.7941 & 0.0000 \\\text { Residual } & 17 & 1896.8050 & 111.5768 & & \\\text { Total } & 19 & 6983.3814 & & & \\\hline\end{array}\\\\\begin{array} { l r r r r r r } \hline & \text { Coefficients } & \text { Standard Error } & { t \text { Stat } } & \text { P-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & 1.5740 & 9.2723 & 0.1698 & 0.8672 & - 17.9888 & 21.1368 \\\text { Age } & 1.3045 & 0.1956 & 6.6678 & 0.0000 & 0.8917 & 1.7173 \\\text { Exper } & - 0.1478 & 0.1944 & - 0.7604 & 0.4574 & - 0.5580 & 0.2624 \\\hline\end{array}\end{array}
-Referring to SCENARIO 13-8, the partial F test forH0: Variable X1 does not significantly improve the model after variable X2 has been includedH1: Variable X1 significantly improves the model after variable X2 has been included has and degrees of freedom.


Definitions:

Quantity Over Quality

A focus on producing or achieving more in number, often at the expense of excellence or condition.

McDonaldization

The process by which the principles of fast food restaurants are coming to dominate more sectors of societies worldwide, emphasizing efficiency, predictability, and control.

Dimension

Dimension is a measurable extent of some kind, such as length, width, height, or time, which helps define the scope or magnitude of an object or concept.

Efficiency

The ability to achieve a desired output or outcome with the minimum amount of input, effort, or waste.

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