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Question: 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) & the years of experience of 10 randomly selected salespeople. These data are listed below.
Salesperson
Years of Experience
Sales
1
0
7
2
9
3
10
20
4
15
5
8
18
6
14
12
17
30
25
[A] Interpret the value of the slope of the regression line.[B] Estimate the standard error of estimate & describe what this statistic tells you about the regression line.[C] Determine the coefficient of determination & discuss what its value tells you about the two variables.[D] Calculate the coefficient of correlation. What sign does it have? Why?[E] Draw a scatter diagram of the data to determine whether a linear model appears to be appropriate.[F] Using Excel, Run the regression using years of Experience as the independent variable (x) & sales the dependent variable (y).[G] Determine the least squares regression line.[H] Predict with 95% confidence the monthly sales of a salesperson with 10 years of experience.[I] Predict with 95% confidence the average monthly sales of all salespersons with 10 years of experience.[J] Use the regression equation in the table to determine the predicted values of y.
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