# Mathematics

Assignment

This assignment requires you to use Excel. There is no template for this assignment. Make sure you explain your answers and provide the regression output tables for questions 1 and 2.

Question 1 Shown below are rental and leasing revenue figures for office machinery and equipment in the United States over a seven-year period according to the U.S. Census Bureau. Use these data to run a linear regression and then forecast the rental and leasing revenue for the year 2012.

Year Rental and Leasing (\$ millions)

2004 5,860

2005 6,632

2006 7,125

2007 6,000

2008 4,380

2009 3,326

2010 2,642

Question 2 Suppose a researcher gathered survey data from 19 employees and asked the employees to rate their job satisfaction on a scale from 0 to 100 (with 100 being perfectly satisfied). Suppose the following data represent the results of this survey. Assume that relationship with supervisor is rated on a scale from 0 to 50 (0 represents poor relationship and 50 represents an excellent relationship), overall quality of the work environment is rated on a scale from 0 to 100 (0 represents poor work environment and 100 rep resents an excellent work environment), and opportunities for advancement is rated on a scale from 0 to 50 (0 represents no opportunities and 50 represents excellent opportunities).

A) What is the regression formula? B) How reliable do you think the estimates will be based on this formula? How can you tell? C) Are there any variables that do not appear to be good predictors of Job satisfaction? How can

you tell?

D) If a new employee reports that her relationship with her supervisor is 40, finds the quality of the work environment to be scored at 75, works 60 hours per week and rates her opportunities for advancement to be at 30, what would you expect her job satisfaction score to be?

Job satisfaction

Relationship with

supervisor

Overall quality of

work environment

Total hours

worked per week

Opportunities for

55 27 65 50 42

20 12 13 60 28

85 40 79 45 7

65 35 53 65 48

45 29 43 40 32

70 42 62 50 41

35 22 18 75 18

60 34 75 40 32

95 50 84 45 48

65 33 68 60 11

85 40 72 55 33

10 5 10 50 21

75 37 64 45 42

80 42 82 40 46

50 31 46 60 48

90 47 95 55 30

75 36 82 70 39

45 20 42 40 22

65 32 73 55 12

Question 3

Unit 4    [GB513: Business Analytics]    Investment analysts generally believe the interest rate on bonds is inversely related to the prime interest rate for loans; that is, bonds perform well when lending rates are down and perform poorly when interest rates are up. Can the bond rate be predicted by the prime interest rate?

Use the following data to construct a scatter graph and then fit a regression line to the data. Report the regression formula and the r-squared value from the chart (right click on the line, select “Add Trendline” and select options to show these metrics).

Bond Rate Prime Interest Rate

5% 16%

12 6

9 8

15 4

7 7

GB513 Unit 4 Assignment

Content Points

Possible Points Earned

2012 forecast for rental and leasing revenue is accurate (Question 1)

10

Correct Regression Formula (Question 2) 5

Expected job satisfaction score (Question 2) 5

Constructed a Scatter graph and included a regression line (Question 3).

5

Analysis

Appropriate analysis of the reliability of estimates based on this formula used and how this can be determined. (Question 2)

7

Appropriate analysis of whether there are any variables that do not appear to be good predictors of Job

7

Unit 4    [GB513: Business Analytics]    satisfaction and how this can be determined. (Question 2)

Indicated whether a bond rate could be predicted by the prime interest rate. (Question 3)

5

Writing Skills

Spelling, Grammar, and Punctuation. 6

Total 50

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