25. 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. Salesperson Years of Experience Sales 1 7 2 3 4 5 6 7 8 9 10 0 2 10 3 8 5 12 7 20 15 9 20 15 18 14 20 17 30 25 Determine the least squares regression line. Interpret the value of the slope of the regression line. Estimate the monthly sales for a salesperson with 16 years of experience. 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. Determine the coefficient of determination and discuss what its value tells you about the two variables.

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25. 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.
Salesperson Years of Experience
Sales
7
9
20
15
18
14
20
17
30
25
2
0
34567
223852125
8
9
10
10
7
20
a) Determine the least squares regression line.
b) Interpret the value of the slope of the regression line.
c) Estimate the monthly sales for a salesperson with 16 years of experience.
d) 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.
e)
Determine the coefficient of determination and discuss what its value tells you about the
two variables.
Transcribed Image Text:25. 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. Salesperson Years of Experience Sales 7 9 20 15 18 14 20 17 30 25 2 0 34567 223852125 8 9 10 10 7 20 a) Determine the least squares regression line. b) Interpret the value of the slope of the regression line. c) Estimate the monthly sales for a salesperson with 16 years of experience. d) 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. e) Determine the coefficient of determination and discuss what its value tells you about the two variables.
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