Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Question
Chapter 12.3, Problem 12.24ACA
a.
To determine
To fit: The model using MINITAB software.
To Test: The adequacy of the model.
b.
To determine
To test: The adequacy of the model.
c.
To determine
To test: The significance of
d.
To determine
To find: The value of coefficient of determination
e.
To determine
The change in the cost.
f.
To determine
The approximate precision of the model that can be used to predict the hours of labor.
g.
To determine
The factors that cause cost to increase.
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Armer Company is accumulating data to use in preparing its annual profit plan for the coming year. The cost behavior pattern of the maintenance costs must be determined. The accounting staff has suggested the use of linear regression to derive an equation for maintenance hours and costs. Data regarding the maintenance hours and costs for the last year and the results of the regression analysis follow:
Month
Maintenance Cost
Machine Hours
Jan.
$
4,200
480
Feb.
3,000
320
Mar.
3,600
400
Apr.
2,820
300
May
4,350
500
June
2,960
310
July
3,030
320
Aug.
4,470
520
Sept.
4,260
490
Oct.
4,050
470
Nov.
3,300
350
Dec.
3,160
340
Sum
$
43,200
4,800
Average
$
3,600
$
400
Average cost per hour
$
9.00
a (intercept)
$
684.65
b (coefficient)
7.2884
Standard error of the estimate
34.469
R-squared
0.99724
t-value for b
60.105…
Armer Company is accumulating data to use in preparing its annual profit plan for the coming year. The cost behavior pattern of the maintenance costs must be determined. The accounting staff has suggested the use of linear regression to derive an equation for maintenance hours and costs. Data regarding the maintenance hours and costs for the last year and the results of the regression analysis follow:
Month
Maintenance Cost
Machine Hours
Jan.
$
4,200
480
Feb.
3,000
320
Mar.
3,600
400
Apr.
2,820
300
May
4,350
500
June
2,960
310
July
3,030
320
Aug.
4,470
520
Sept.
4,260
490
Oct.
4,050
470
Nov.
3,300
350
Dec.
3,160
340
Sum
$
43,200
4,800
Average
$
3,600
$
400
Average cost per hour
$
9.00
a (intercept)
$
684.65
b (coefficient)
7.2884
Standard error of the estimate
34.469
R-squared
0.99724
t-value for b
60.105…
Please do b, c, and d
Chapter 12 Solutions
Statistics for Business and Economics (13th Edition)
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