Wageweb conducts surveys of salary data and presents summaries on its Web site. Based on salary data as of October 1, 2002, Wageweb reported that the average annual salary for sales vice presidents was $142,111, with an average annual bonus of $15,432 (Wageweb.com, March 13, 2003). Assume the following data are a sample of the annual salary and bonus for 10 sales vice presidents. Data are in thousands of dollars.   Vice President 1 2 3 4 5 6 7 8 9 10 Salary 135 115 146 167 165 176 98 136 163 119 Bonus 12 14 16 19 22 24 7 17 18 11     Develop a scatter diagram for these data with salary as the independent variable. What does the scatter diagram developed in part (a) indicate about the relationship between salary and bonus? Use the least squares method to develop the estimated regression equation. Provide an interpretation for the slope of the estimated regression equation. Predict the bonus for a vice president with an annual salary of $120,000.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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Wageweb conducts surveys of salary data and presents summaries on its Web site. Based on salary data as of October 1, 2002, Wageweb reported that the average annual salary for sales vice presidents was $142,111, with an average annual bonus of $15,432 (Wageweb.com, March 13, 2003). Assume the following data are a sample of the annual salary and bonus for 10 sales vice presidents. Data are in thousands of dollars.

 

Vice President

1

2

3

4

5

6

7

8

9

10

Salary

135

115

146

167

165

176

98

136

163

119

Bonus

12

14

16

19

22

24

7

17

18

11

 

 

  1. Develop a scatter diagram for these data with salary as the independent variable.
  2. What does the scatter diagram developed in part (a) indicate about the relationship

between salary and bonus?

  1. Use the least squares method to develop the estimated regression equation.
  2. Provide an interpretation for the slope of the estimated regression equation.
  3. Predict the bonus for a vice president with an annual salary of $120,000.
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