Question
Thane Company is interested in establishing the relationship between electricity costs and machine hours. Data have been collected and a regression analysis prepared using Excel.
Thane Company is interested in establishing the relationship between electricity costs and machine hours. Data have been collected and a regression analysis prepared using Excel. The monthly data and the regression output follow:
Month | Machine Hours | Electricity Costs | ||
January | 3,300 | $ | 18,800 | |
February | 3,700 | $ | 21,800 | |
March | 2,700 | $ | 13,900 | |
April | 3,900 | $ | 23,800 | |
May | 5,200 | $ | 28,650 | |
June | 4,100 | $ | 22,800 | |
July | 5,100 | $ | 25,150 | |
August | 4,300 | $ | 23,150 | |
September | 2,800 | $ | 16,300 | |
October | 4,500 | $ | 26,800 | |
November | 6,200 | $ | 31,800 | |
December | 5,700 | $ | 28,150 | |
Summary Output | |
Regression Statistics | |
Multiple R | 0.957 |
R Square | 0.916 |
Adjusted R2 | 0.908 |
Standard Error | 1,584.49 |
Observations | 12.00 |
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
Intercept | 3,998.65 | 1,911.17 | 2.09 | 0.06 | (259.71) | 8,257.01 |
Machine Hours | 4.53 | 0.43 | 10.47 | 0.00 | 3.56 | 5.49 |
If the controller uses the high-low method to estimate costs, the fixed cost portion of the cost equation for electricity costs is: (Round intermediate calculations to 2 decimal places.)
Multiple Choice
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$3,998.65.
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$1,584.49.
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$118.00.
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$22,782.00.
The College of Business at Northeast College is accumulating data as a first step in the preparation of next year's budget development. One cost that is being looked at closely is administrative costs as a function of student credit hours. Data on administrative costs and credit hours for the past thirteen months are shown below:
Month | Administrative Costs | Credit Hours | ||||
July | $ | 130,251 | 1,200 | |||
August | 83,373 | 609 | ||||
September | 226,150 | 1,886 | ||||
October | 216,774 | 1,494 | ||||
November | 258,453 | 1,803 | ||||
December | 185,399 | 1,606 | ||||
January | 219,897 | 1,833 | ||||
February | 245,570 | 1,867 | ||||
March | 209,842 | 1,558 | ||||
April | 192,115 | 1,617 | ||||
May | 250,928 | 1,854 | ||||
June | 171,178 | 914 | ||||
July | 128,737 | 809 | ||||
Total | $ | 2,511,067 | 19,050 | |||
Average | $ | 193,744 | 1,465 | |||
The controller's office has analyzed the data and has given you the results from the regression analysis:
SUMMARY OUTPUT | |
Regression Statistics | |
Multiple R | 0.9115513 |
R Square | 0.830925708 |
Adjusted R Square | 0.815555318 |
Standard Error | 22,754.96587 |
Observations | 13 |
ANOVA | |||||
df | SS | MS | F | Significance F | |
Regression | 1 | 27,991,726,133 | 27,991,726,133 | -54.0601571 | 1.4436E-05 |
Residual | 11 | 5,695,673,188 | 517,788,471.6 | ||
Total | 12 | 33,687,399,321 |
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
Intercept | 33,100.32024 | 22,741.85454 | 1.45548025 | 0.17347479 | -16,954.16413 | 83,154.8046 | -16,954.16413 | 83,154.8046 |
X Variable 1 | 109.6253458 | 14.90981739 | 7.352561263 | 1.4436E-05 | 76.80905896 | 142.441633 | 76.80905896 | 142.441633 |
Based on the results of the regression analysis, the estimate of the variable portion of administrative costs in a month with 200 credit hours would be:
Multiple Choice
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$141,847.
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$21,926.
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$118,437.
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$42,874.
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