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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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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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