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The General Manager of a Chain of Furniture Stores Believes

Question 155

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The general manager of a chain of furniture stores believes that experience is the most important factor in determining the level of success of a salesperson. To examine this belief she records last month's sales (in $1,000s) and the years of experience of 10 randomly selected salespeople. These data are listed below. The general manager of a chain of furniture stores believes that experience is the most important factor in determining the level of success of a salesperson. To examine this belief she records last month's sales (in $1,000s) and the years of experience of 10 randomly selected salespeople. These data are listed below.   Determine the standard error of estimate. s<sub>r</sub> = ______________ Describe what this statistic tells you about the regression line. ______________ Determine the coefficient of determination. R<sup>2</sup> = ______________ Discuss what its value tells you about the two variables. ______________ Calculate the Pearson correlation coefficient. r = ______________ Why does it have the sign it has? ______________ Conduct a test of the population slope to determine at the 5% significance level whether a linear relationship exists between years of experience and sales. Test statistic: t = ______________ Rejection Region: Reject H<sub>0</sub> if | t | > ______________ Conclusion: ______________ A linear relationship ______________ between years of experience and sales. Determine the standard error of estimate.
sr = ______________
Describe what this statistic tells you about the regression line.
______________
Determine the coefficient of determination.
R2 = ______________
Discuss what its value tells you about the two variables.
______________
Calculate the Pearson correlation coefficient.
r = ______________
Why does it have the sign it has?
______________
Conduct a test of the population slope to determine at the 5% significance level whether a linear relationship exists between years of experience and sales.
Test statistic:
t = ______________
Rejection Region:
Reject H0 if | t | > ______________
Conclusion:
______________
A linear relationship ______________ between years of experience and sales.

Correct Answer:

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1.5724; The model's fit is good.; 0.9536...

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