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Lakeway Enterprises Regression Analysis

Georganna Russell, the controller of Lakeway Enterprises, a fabricator specializing in the manufacture of copper pipe, has undertaken a project to study the behavior of overhead cost. She has assembled data for this month from each of the firm's twenty-eight manufacturing facilities. In addition, all the allocated components of the factory overhead account, such as head office costs, have been eliminated from the factory overhead account balances.

Georganna has asked you to develop a regression model to predict the level of manufacturing overhead based on the data in Table 1.

Required:

  • Determine the best regression equation possible given the data in Table 1 and the fact that overhead is to be the dependent variable. You should indicate why the regression model which you selected was determined to be the best and why other models were rejected. Factors which you should consider in your assessment of potential regression models include but are not limited to the following items: (1) whether the independent variable(s) can be used to predict the dependent variable; (2) the greatest amount of confidence which can be placed in the regression equation; and (3) the significance of the coefficients of determination and correlation.
  • Discuss key assumptions and limitations of the regression models which you considered.
  • Make a cost prediction using the regression equation which you selected if Susan expects to incur 2,000 labor-hours, 1,000 machine-hours, 500 tons of raw materials handled, and 70 production line setups. Next, if management desires to be at least 95 percent certain that actual costs will not exceed their estimate for overhead costs, what would be their estimate of overhead? Lastly, if management desires to be 90 percent certain of the actual overhead cost, what would be their estimate of overhead?
  • Discuss the problems of estimating overhead cost at the following projected activity level: 3,000 labor hours, 500 machine hours, 700 tons of raw materials handled, and
    100 production line setups.

You are touse the Excel computer program and include the printout for all regression models considered.

Plant Number

Factory Overhead

Labor Hours

Machine Hours

Tons of Raw Material Handled

Production Line Setups

1

137,896

2,092

959

414

67

2

174,342

1,617

1,227

623

88

3

168,896

2,215

1,351

437

50

4

178,059

1,584

1,480

479

89

1

166,605

1,930

952

678

52

2

165,320

1,717

986

666

50

7

157,585

2,319

931

585

75

8

165,667

2,312

1,439

479

90

9

155,657

1,880

945

619

94

10

144,605

1,723

869

489

60

11

157,608

1,992

1,171

445

56

12

171,700

2,476

1,228

581

75

13

140,686

2,087

928

446

61

14

171,982

2,256

950

688

99

15

155,252

2,179

1,016

580

78

16

140,793

1,806

902

464

60

17

154,377

1,671

948

610

61

18

150,886

2,019

1,130

532

89

19

159,198

1,585

1,335

415

98

20

145,379

1,747

1,052

517

91

21

152,614

1,618

860

640

64

22

159,450

2,122

1,188

548

61

23

160,983

1,697

1,254

425

56

24

175,393

2,406

1,187

695

58

25

153,031

1,917

948

468

97

26

166,110

1,658

1,015

660

74

27

150,041

2,042

971

478

51

28

170,419

1,757

1,111

652

85

Table 1: Lakeway Enterprises


Attachment:- Assignment.rar

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