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. Salesperso Years of Sales n Еxperience 1 7 9. 3 10 20 4 3 15 5 8. 18 6. 14 7 12 20 8 7 17 9 20 30 10 15 25 Scatter plot of Sales ($1000) vs YeA rs of ex perience 30 25 20 10 Years at expertence 20

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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.
Salesperso
Years of
Sales
Еxperience
1
7
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
Scatter plot of Sales ($1000) vs Yea rs of ex perience
30-
25
20
10.
10
20
Years at expenence
Transcribed Image Text: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. Salesperso Years of Sales Еxperience 1 7 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 Scatter plot of Sales ($1000) vs Yea rs of ex perience 30- 25 20 10. 10 20 Years at expenence
What does the scatter diagram above tell you about the relationship between years of experience
and sales ($1000)?
b).
Determine the least squares regression line.
c).
Interpret the value of the slope of the regression line.
d).
Construct the 95% confidence interval for the slope of the population regression
equation. Does it suggest there is a linear relationship between years of experience and sales?
e).
about the two variables.
Determine the coefficient of determination and discuss what its value tells you
Discuss
f).
Calculate the coefficient of correlation.
r =
What sign does it have? Why?
g).
Conduct a test of the population coefficient of correlation to determine at the 5%
significance level whether a linear relationship exists between years of experience and sales.
Transcribed Image Text:What does the scatter diagram above tell you about the relationship between years of experience and sales ($1000)? b). Determine the least squares regression line. c). Interpret the value of the slope of the regression line. d). Construct the 95% confidence interval for the slope of the population regression equation. Does it suggest there is a linear relationship between years of experience and sales? e). about the two variables. Determine the coefficient of determination and discuss what its value tells you Discuss f). Calculate the coefficient of correlation. r = What sign does it have? Why? g). Conduct a test of the population coefficient of correlation to determine at the 5% significance level whether a linear relationship exists between years of experience and sales.
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