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SCENARIO 17-5
You Worked as an Intern at We Always

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True/False

SCENARIO 17-5
You worked as an intern at We Always Win Car Insurance Company last summer. You notice that
individual car insurance premiums depend very much on the age of the individual, the number of
traffic tickets received by the individual, and the population density of the city in which the individual
lives. You performed a regression analysis in EXCEL and obtained the following information:  Regression Statistics  Multiple R 0.63 R Square 0.40 Adjusted R Square 0.23 Standard Error 50.00 Observations 15.00 ANOVA df SS  MS  F  Significance F Regression 35994.242.400.12 Residual 1127496.82 Total 45479.54 Coefficients  Standard  Error  t Stat  P-value  Lower 99.0%  Upper 99.0%  Intercept 123.8048.712.540.0327.47275.07 AGE 0.820.870.950.363.511.87 TICKETS 21.2510.661.990.0711.8654.37 DENSITY 3.146.460.490.6423.1916.91\begin{array}{l}\begin{array}{lr}\hline {\text { Regression Statistics }} \\\hline \text { Multiple R } & 0.63 \\\text { R Square } & 0.40 \\\text { Adjusted R Square } & 0.23 \\\text { Standard Error } & 50.00 \\\text { Observations } & 15.00 \\\hline\end{array}\\\\\text { ANOVA }\\\begin{array}{lrcccr}\hline & d f &{\text { SS }} & \text { MS } & \text { F }&{\text { Significance } F} \\\hline \text { Regression } & 3 & & 5994.24 & 2.40 & 0.12 \\\text { Residual } & 11 & 27496.82 & & & \\\text { Total } & & 45479.54 & & & \\\hline\end{array}\\\\\begin{array}{lrrrrrr}\hline & \text { Coefficients } & \begin{array}{c}\text { Standard } \\\text { Error }\end{array} & \text { t Stat } & \text { P-value } & \text { Lower 99.0\% } & \text { Upper 99.0\% } \\\hline \text { Intercept } & 123.80 & 48.71 & 2.54 & 0.03 & -27.47 & 275.07 \\\text { AGE } & -0.82 & 0.87 & -0.95 & 0.36 & -3.51 & 1.87 \\\text { TICKETS } & 21.25 & 10.66 & 1.99 & 0.07 & -11.86 & 54.37 \\\text { DENSITY } & -3.14 & 6.46 & -0.49 & 0.64 & -23.19 & 16.91 \\\hline\end{array}\end{array}
AGE -0.82 0.87 -0.95 0.36 -3.51 1.87
TICKETS 21.25 10.66 1.99 0.07 -11.86 54.37
DENSITY -3.14 6.46 -0.49 0.64 -23.19 16.91
-Referring to Scenario 17-5, the multiple regression model is significant at a 10%
level of significance.

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Definitions:

Pituitary Hormone

Hormones secreted by the pituitary gland, which regulate a wide range of bodily functions, including growth, metabolism, and reproduction.

Adrenocorticotropic Hormone

A hormone produced in the anterior pituitary gland that stimulates the production of cortisol by the adrenal cortex.

Growth Hormone

Anterior pituitary hormone that regulates growth and metabolism.

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A hormonal disorder that results from the excessive production of growth hormone, leading to enlargement of body parts.

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