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dxpayne dxpayne
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6 years ago
Schotte Manufacturing Company uses two different independent variables (machine-hours and number of packages) in two different equations to evaluate costs of the packaging department. The most recent results of the two regressions are as follows:

Machine-hours:
   Variable   Coefficient   Standard Error   t-Value
   Constant   $748.30   $341.20   2.19
   Predictor Variable    $52.90   $35.20   1.50

   r2 = 0.33

Number of packages:
   Variable   Coefficient   Standard Error   t-Value
   Constant   $242.90   $75.04   3.24
   Predictor Variable   $5.60   $2.00   2.80

   r2 = 0.73

Required:
a.   What are the estimating equations for each cost driver?
b.   Which cost driver is best and why?
Textbook 
Cost Accounting: A Managerial Emphasis, Canadian Edition

Cost Accounting: A Managerial Emphasis, Canadian Edition


Edition: 7th
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6 years ago
a.   Machine-hours   y = $748.30 + $52.90X
   Number of packages   y = $242.90 + $5.60X

b.   Machine-hours has a low r2 which implies that a small proportion of the variance is explained by machine-hours, thereby making it less attractive than number of packages as a cost predictor.

Also, for the independent variable, number of packages, the t-value of 2.80 indicates that a relationship exists between the independent and dependent variables. For machine-hours, the t-value (1.50) is below 2.00, indicating that the coefficient is not significantly different from zero and that there may not be a relationship between the independent and dependent variables.

The t-values of the constant terms (g) for both drivers is greater than 2.00, therefore, there is no distinguishing characteristic between the constants.

Given the above findings, it appears that number of packages is the best predictor of costs of the packing department.
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