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

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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, what are the degrees of freedom?


Definitions:

Marginal Cost

The rise in expenditure from the production of a supplementary unit of a product or service.

Profit-maximizing

A process where a business establishes the price and production scale that ensures the highest return.

Demand

The quantity of a good or service that consumers are willing and able to purchase at various prices during a certain period.

Two-part Tariff

A pricing strategy that includes a fixed fee plus a variable fee based on consumption or usage level.

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