The College of Business at Northeast College is accumulating data as a first step in...
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Accounting
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
$
136,301
1,000
August
96,613
721
September
246,580
1,998
October
244,394
1,606
November
293,263
1,915
December
226,449
1,718
January
268,137
1,945
February
301,000
1,979
March
272,462
1,670
April
261,925
1,729
May
326,978
1,966
June
254,418
1,026
July
219,167
921
Total
$
3,147,687
20,194
Average
$
242,130
1,553
The controller's office has analyzed the data and has given you the results from the regression analysis:
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.7985572
R Square
0.637693600
Adjusted R Square
0.604756654
Standard Error
40,005.80589
Observations
13
ANOVA
df
SS
MS
F
Significance F
Regression
1
30,986,661,233
30,986,661,233
-19.3610424
0.00106299
Residual
11
17,605,109,557
1,600,464,505.0
Total
12
48,591,770,790
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Lower 95.0%
Upper 95.0%
Intercept
72,045.32692
40,215.47137
1.79148284
0.10073652
-16,468.32876
160,558.9826
-16,468.32876
160,558.9826
X Variable 1
109.4928073
24.88405898
4.400118459
0.00106299
54.72336273
164.262252
54.72336273
164.262252
The correlation coefficient (rounded to the 3rd decimal) for the regression equation for administrative costs is:
0.735.
0.723.
0.799.
0.833.
Answer & Explanation
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