Question: 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 | $ 129,178 | 251 |
| August | 82,312 | 45 |
| September | 225,565 | 1,461 |
| October | 216,305 | 936 |
| November | 258,312 | 1,356 |
| December | 184,642 | 1,080 |
| January | 218,850 | 1,385 |
| February | 245,313 | 1,343 |
| March | 210,090 | 1,000 |
| April | 192,034 | 1,174 |
| May | 249,600 | 1,362 |
| June | 169,958 | 441 |
| July | 127,749 | 360 |
|
|
|
|
| Total | $ 2,509,908 | 12,194 |
| Average | 193,070 | 938 |
The controller's office has analyzed the data and has given you the results from the regression analysis:
| Regression Statistics | |
| Multiple R | 0.9286956 |
| R Square | 0.862475539 |
| Adjusted R Square | 0.849973315 |
| Standard Error | 20,603.46887 |
| Observations | 13 |
| Anova |
|
| df | SS | MS | F | Significance F |
| Regression | 1 | 29,284,661,632 | 29,284,661,632 | 68.9857704 | 4.56465E-06 |
| Residual | 11 | 4,669,532,223 | 424,502,929.4 |
|
|
| Total | 12 | 33,954,193,856 |
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|
|
|
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper |
| Intercept | 99,167.43496 | 12,667.77983 | 7.82832006 | 8.02377E-06 | 71,285.83956 | 127,049.0304 | 71,285.83956 | 127,049.0304 |
| X Variable 1 | 100.1091804 | 12.05297196 | 8.305767299 | 4.56465E-06 | 73.58076797 | 126.637593 | 73.58076797 | 126.637593 |
| If the controller uses the high-low method to estimate costs, the fixed cost portion of the cost equation for administrative salaries is: |
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