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

question 247

True/False

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:
$\begin{array}{l}\text { Regression Analysis }\\\begin{array}{lr}\hline {\text { Regression Statistics }} \\\hline \text { Multiple R } & 0.63 \\\text { R Square } & 0.40 \\\text { Adjusted R Square } & 0.23 \\\text { Standard Error } & 50.00 \\\text { Observations } & 15.00\end{array}\end{array}$
ANOVA
$\begin{array}{lrrrrrr} & d f & & S S & M S & F & \text { Significance } F \\\hline \text { Regression } & 3 & & 5994.24 & 2.40 & 0.12 \\\text { Residual } & 11 & 27496.82 & & & \\\text { Total } & & 45479.54 & & &\end{array}$

$\begin{array}{lrrrrrrr} & \text { Coefficients } & \text { Standard } & t \text { Stat } & \text { P-value } & \text { Lower 99.0\% } & \text { Upper 99.0\% } \\\hline \text { Intercept } & {\text { Error }} & & & & & \\\text { AGE } & 123.80 & 48.71 & 2.54 & 0.03 & -27.47 & 275.07 \\\text { TICKETS } & -0.82 & 0.87 & -0.95 & 0.36 & -3.51 & 1.87 \\\text { DENSITY } & 21.25 & 10.66 & 1.99 & 0.07 & -11.86 & 54.37 \\& -3.14 & 6.46 & -0.49 & 0.64 & -23.19 & 16.91\end{array}$
-Referring to Instruction 13-8,the F test for the significance of the entire regression performed at a level of significance of 0.01 leads to a rejection of the null hypothesis.

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