Use the Following for Questions
a Sales Manager Was $= - 0.48 + 7.42$

question 23

Essay

Use the following for questions
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and college GPA and the number of units sold last month recorded. Below are the scatterplot, regression results, and residual plots for these data. The regression equation is
Units Sold $= - 0.48 + 7.42$ GPA
$\begin{array} { l r r r r } \text { Predictor } & \text { Coef } & \text { SE Coef } & \text { T } & \text { P } \\ \text { Constant } & - 0.484 & 3.256 & - 0.15 & 0.884 \\ \text { GPA } & 7.423 & 1.044 & 7.11 & 0.000 \end{array}$
$\mathrm { S } = 1.57429 \quad \mathrm { R } - \mathrm { Sq } = 78.3 \% \mathrm { \circ } \quad \mathrm { R } - \mathrm { Sq } ( \mathrm { adj } ) = 76.8 \%$
Analysis of Variance
$\begin{array} { l r r r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\ \text { Regression } & 1 & 125.30 & 125.30 & 50.56 & 0.000 \\ \text { Residual Error } & 14 & 34.70 & 2.48 & & \\ \text { Total } & 15 & 160.00 & & & \end{array}$ Answer:
-Test the hypotheses about the slope of the regression line. Give the appropriate test
statistic, associated P-value, and conclusion in terms of the problem.

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Definitions:

Perceptual Reasoning

The ability to use information obtained through the senses, especially sight, to solve problems, understand spatial relationships, and perceive visual details.

Fluid Intelligence

The capacity to think logically and solve problems in novel situations, independent of acquired knowledge.

Reason

The cognitive process of looking for reasons, forming conclusions, judgments, or inferences based on logical premises or evidence.

Education

The process of receiving or giving systematic instruction, especially at a school or university.