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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

  • $3,998.65.

  • $1,584.49.

  • $118.00.

  • $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

  • $141,847.

  • $21,926.

  • $118,437.

  • $42,874.

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