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Choose the One Alternative That Best Completes the Statement or Answers

question 149

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-The dean of the Business School at a small Florida college wishes to determine whether the grade-point average (GPA) of a graduating student can be used to predict the graduate's starting salary. More specifically, the dean wants to know whether higher GPA's lead to higher starting salaries. Records for 23 of last year's Business School graduates are selected at random, and data on GPA $( x )$ and starting salary ( $y$ , in Sthousands) for each graduate were used to fit the model, $\mathrm { E } ( \mathrm { y } ) = \beta _ { 0 } + \beta _ { 1 } \mathrm { x }$ . The results of the simple linear regression are provided below.
$\begin{array} { l l } \hat { y } = 4.25 + 2.75 \mathrm { x } , & \mathrm { SSxy } = 5.15 , \mathrm { SSxx } = 1.87 \\ & \mathrm { SSyy } = 15.17 , \mathrm { SSE } = 1.0075 \\ \text { Range of the x-values: } & 2.23 = 3.85 \\ \text { Range of the } \mathrm { y } \text {-values: } & 9.3 - 15.6 \end{array}$
Range of the $\mathrm { y }$ -values: $9.3 - 15.6$
Calculate the value of $\mathrm { R } ^ { 2 }$ , the coefficient of determination.

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