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Instruction 13-8
You Worked as an Intern at We Always

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Instruction 13-8
You worked as an intern at We Always Win Car Insurance Company last summer.You notice that individual car insurance premium depends 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 Microsoft Excel and obtained the following information:
 Regression Analysis  Regression Statistics  Multiple R 0.63 R Square 0.40 Adjusted R Square 0.23 Standard Error 50.00 Observations 15.00\begin{array}{l}\text { Regression Analysis }\\\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}\end{array}
ANOVA
dfSSMSF Significance F Regression 35994.242.400.12 Residual 1127496.82 Total 45479.54\begin{array}{lrrrrrr}\hline & d f & & S S & M S & 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}

 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}{lrrrrrrr}\hline & \text { Coefficients } & \begin{array}{c}\text { Standard } \\\text { Error }\end{array} & t \text { Stat } & P \text {-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}
-Referring to Instruction 13-8,the proportion of the total variability in insurance premiums that can be explained by AGE,TICKETS,and DENSITY is ________.

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