Question
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
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 | $ | 129,451 | 400 | |||
August | 82,733 | 193 | ||||
September | 225,670 | 1,470 | ||||
October | 216,454 | 1,078 | ||||
November | 258,293 | 1,387 | ||||
December | 184,599 | 1,190 | ||||
January | 219,257 | 1,417 | ||||
February | 245,090 | 1,451 | ||||
March | 209,522 | 1,142 | ||||
April | 191,955 | 1,201 | ||||
May | 250,128 | 1,438 | ||||
June | 170,538 | 498 | ||||
July | 128,257 | 393 | ||||
Total | $ | 2,511,947 | 13,258 | |||
Average | $ | 193,227 | 1,020 | |||
The controller's office has analyzed the data and has given you the results from the regression analysis:
SUMMARY OUTPUT | |
Regression Statistics | |
Multiple R | 0.9327181 |
R Square | 0.869963033 |
Adjusted R Square | 0.858141490 |
Standard Error | 19,984.60564 |
Observations | 13 |
ANOVA | |||||
df | SS | MS | F | Significance F | |
Regression | 1 | 29,391,233,739 | 29,391,233,739 | -73.5913299 | 3.34292E-06 |
Residual | 11 | 4,393,229,090 | 399,384,462.7 | ||
Total | 12 | 33,784,462,829 |
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
Intercept | 86,208.30382 | 13,651.03481 | 6.31514790 | 5.71542E-05 | 56,162.57879 | 116,254.0288 | 56,162.57879 | 116,254.0288 |
X Variable 1 | 104.9358161 | 12.23236465 | 8.578538912 | 3.34292E-06 | 78.01256307 | 131.859069 | 78.01256307 | 131.859069 |
Based on the results of the high-low analysis, the estimate of administrative costs in a month with 1,060 credit hours would be: (rounded to the nearest whole dollar)
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