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

question 243

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, to test the significance of the multiple regression model, the null hypothesis should be rejected while allowing for 1% probability of committing a type I error.


Definitions:

Merchandise Sale

The transaction of selling goods that are purchased for resale by a business.

Promissory Note

A financial instrument containing a written promise by one party to pay another party a definite sum of money either on-demand or at a specified future date.

Promissory Note

A financial document in which one party promises in writing to pay a determinate sum of money to the other, either at a fixed or determinable future time or on demand of the payee, under specific terms.

Accrued Interest

The interest that has accumulated on a debt over a period of time but has not yet been paid.

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