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The Business School at Eastern College is accumulating data as a first step in the preparation of next year's budget development. One cost that is

The Business School at Eastern 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:

Administrative Credit
Month Costs Hours
July $ 129,180 256
August 82,488 392
September 226,053 1,366
October 216,912 1,127
November 257,638 1,430
December 185,236 1,248
January 219,744 1,343
February 244,474 1,533
March 209,896 1,021
April 192,248 1,052
May 249,584 1,486
June 170,609 348
July 128,560 304
Total $ 2,512,622 12,906
Average 193,279 993

The controller's office has analyzed the data and has given you the results from the regression analysis:

Regression Statistics
Multiple R 0.8991096
R Square 0.808398062
Adjusted R Square 0.790979704
Standard Error 24,225.89655
Observations 13

Anova
df SS MS F Significance F
Regression 1 27,238,160,063 27,238,160,063 46.4106928 2.90496E-05
Residual 11 6,455,834,698 586,894,063.5
Total 12 33,693,994,761

Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper
Intercept 96,556.47873 15,707.30165 6.14723527 7.23566E-05 61,984.94091 131,128.0166 61,984.94091 131,128.0166
X Variable 1 97.4266060 14.30107051 6.812539377 2.90496E-05 65.95016202 128.903050 65.95016202 128.903050

If the controller uses the high-low method to estimate costs, the cost equation for administrative salaries is:

  • Cost = $106,059.43 + $90.29 Credit-hours.

  • Cost = $193,279.

  • Cost = $193,279.00 + $159.47 Credit-hours.

  • Cost = $208.86 Credit-hours.

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