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SCENARIO 14-10
You Worked as an Intern at We Always

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SCENARIO 14-10
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\begin{array}{l}\hline{ \text { Regression } \text { 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}

 ANOVA \text { ANOVA }
 SCENARIO 14-10 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:  \begin{array}{l} \hline{ \text { Regression } \text { 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} { l r r r r r r }  \hline & \text { Coefficients } & \text { Standard Error } & { \text { tStat } } & \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}  -Referring to Scenario 14-10, to test the significance of the multiple regression model, what is the form of the null hypothesis? a)  H _ { 0 } : \beta _ { 1 } = 0  b)  H _ { 0 } : \beta _ { 2 } = 0  c)  H _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = 0  d)  H _ { 0 } : \beta _ { 0 } = \beta _ { 1 } = \beta _ { 2 } = 0

 Coefficients  Standard Error  tStat  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 r r r r r r } \hline & \text { Coefficients } & \text { Standard Error } & { \text { tStat } } & \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}
-Referring to Scenario 14-10, to test the significance of the multiple regression model, what is the form of the null hypothesis? a) H0:β1=0H _ { 0 } : \beta _ { 1 } = 0
b) H0:β2=0H _ { 0 } : \beta _ { 2 } = 0
c) H0:β1=β2=0H _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = 0
d) H0:β0=β1=β2=0H _ { 0 } : \beta _ { 0 } = \beta _ { 1 } = \beta _ { 2 } = 0

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