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SCENARIO 13-10
You Worked as an Intern at We Always

question 183

True/False

SCENARIO 13-10
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 and the number of traffic tickets received by the individual.You performed a regression analysis in EXCEL and obtained the following partial information:  Regression Statistics  Multiple R 0.8546 R Square 0.7303 Adjusted R Square 0.6853 Standard Error 226.7502 Observations 15 ANOVA df SS  MS  F  Significance F Regression 2 835284.6500 16.24570.0004 Residual 12616987.8200 Total 2287557.1200 Coefficients  Standard Error t Stat  P-value  Lower 99%  Upper 99%  Intercept 821.2617161.93915.07140.0003326.61241315.9111 Age 1.40612.59880.54110.59849.34446.5321 Tickets 243.440143.24705.62910.0001111.3406375.5396\begin{array}{l}\begin{array} { l r } \hline { \text { Regression Statistics } } \\\hline \text { Multiple R } & 0.8546 \\\text { R Square } & 0.7303 \\\text { Adjusted R Square } & 0.6853 \\\text { Standard Error } & 226.7502 \\\text { Observations } & 15 \\\hline\end{array}\\\\\text { ANOVA }\\\begin{array}{lrrrrrr} & d f & & \text { SS } & \text { MS } & \text { F } & \text { Significance } F \\\hline \text { Regression } & & 2 & & \text { 835284.6500 } & 16.2457 & 0.0004 \\\text { Residual } & & 12 & 616987.8200 & & & \\\text { Total } & & & 2287557.1200 & & & \\\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 99\% } & { \text { Upper 99\% } } \\\hline \text { Intercept } & 821.2617 & 161.9391 & 5.0714 & 0.0003 & 326.6124 & 1315.9111 \\\text { Age } & - 1.4061 & 2.5988 & - 0.5411 & 0.5984 & - 9.3444 & 6.5321 \\\text { Tickets } & 243.4401 & 43.2470 & 5.6291 & 0.0001 & 111.3406 & 375.5396 \\\hline\end{array}\end{array}
-Referring to SCENARIO 13-10, the multiple regression model is significant at a10% level of significance.


Definitions:

Individual Merits

The acknowledgment and recognition of a person's achievements, abilities, or qualities based on personal effort and talent.

Common Ingroup Identity

A psychological model suggesting that emphasizing shared identities within diverse groups can reduce intergroup bias and foster a sense of unity and cooperation.

Disidentification

The process through which an individual consciously chooses not to associate themselves with certain groups or ideas.

Ingroup Bias

The tendency to favor and extend loyalty to members of one's own group over others.

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