Determine the least squares regression line

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Reference no: EM1320809

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

2

9

3

10

20

4

3

15

5

8

18

6

5

14

7

12

20

8

7

17

9

20

30

10

15

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.

Reference no: EM1320809

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