Question
Least Squares Regression Analysis The controller for TG Enterprises is trying to determine whether direct labor hours or machine hours is driving the companys overhead
Least Squares Regression Analysis
The controller for TG Enterprises is trying to determine whether direct labor hours or machine hours is driving the companys overhead cost. He collected the following data on the number of direct labor hours, the number of machine hours, and the associated factory overhead cost for the year 2018:
Month | Machine Hours | Direct Labor Hours | Overhead Cost |
---|---|---|---|
January | 198 | 1,810 | $17,610 |
February | 195 | 1,825 | $17,410 |
March | 197 | 1,788 | $17,735 |
April | 189 | 1,713 | $16,780 |
May | 192 | 1,738 | $17,240 |
June | 185 | 1,463 | $16,635 |
July | 203 | 1,938 | $17,700 |
August | 195 | 1,700 | $17,500 |
September | 198 | 1,813 | $17,775 |
October | 207 | 2,100 | $18,400 |
November | 192 | 1,938 | $16,805 |
December | 215 | 2,063 | $18,895 |
Required
a. Using Excel, run a regression on these data using machine hours as the independent variable.
Provide the cost formula for overhead cost. Round fixed and variable costs to the nearest cent.
Total cost = $ Answer + ($ Answer x machine hours)
b. Using Excel, run a regression on these data using direct labor hours as the independent variable.
Provide the cost formula for overhead cost. Round the fixed and variable costs to the nearest cent.
Total cost = $ Answer + ($ Answer x direct labor hours)
c. What is the R2 for the regression in requirement a ? What is the R2 for the regression in requirement b ? (Round answers to three decimal places.)
a. Answer
b. Answer
Which independent variable, direct labor hours or machine hours, is a better predictor of factory overhead cost?
Answer Direct labor hours or Machine hours
d. Assuming that expected January 2019 machine hours are 212, what is expected factory overhead cost using the cost formula in requirement a?
(Note: Round to the nearest dollar.)
$________
$Answer
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