The Business School at Eastern College is collecting data as a first step in the preparation of next year’s budget. One cost that is being looked at closely is administrative staff as a function of student credit hours. Data on administrative costs and credit hours for the most recent 13 months follow:

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

Required

a. In the standard regression equation y = a + bx, the letter b is best described as the (1) Independent variable.
(2) Dependent variable.
(3) Constant coefficient.
(4) Variable cost coefficient.
(5) Correlation coefficient.
b. In the standard regression equation y = a + bx, the letter y is best described as the (1) Independent variable.
(2) Dependent variable.
(3) Constant coefficient.
(4) Variable cost coefficient.
(5) Correlation coefficient.
c. In the standard regression equation y = a + bx, the letter x is best described as the(1) Independent variable.
(2) Dependent variable.
(3) Constant coefficient.
(4) Variable cost coefficient.
(5) Correlation coefficient.
d. If the controller uses the high-low method to estimate costs, the cost equation for administrative costs 1s (1) Cost = \($67,313\) + \($133\) X Credit hours.
(2) Cost = \($59,424\) + \($202\) X Credit hours.
(3) Cost = \($206.50\) X Credit hours.
(4) Cost = \($193,374\).
(5) Some other equation.
e. Based on the results of the controller’s regression analysis, the estimate of administrative costs in a month with 1,000 credit hours would be (1) \($198,808\).
(2) \($201,000\).
(3) \($199,975\).
(4) \($96,409\).
(5) Some other amount.

f. The correlation coefficient (rounded) for the regression equation for administrative costs is (1) 0.933.
(2) 0.871.
(3) 0.859.
(4) √ 0.933.
(5) Some other amount.
g. The percent of the total variance (rounded) that can be explained by the regression is 

(1) 93.3 

(2) 87.1 

(3) 85.9.

(4) 96.6.

(5) Some other amount.

Transcribed Image Text:

Month Administrative Costs Credit Hours July.... $ 129,301 250 August. September.. 82,613 115 228,580 1,392 October 216,394 1,000 November. 258,263 1,309 December 184,449 1,112 January 219,137 1,339 February. 245,000 1,373 March..... 209,642 1,064 April... 191,925 1,123 May 249,978 1,360 June July... 170,418 420 128,167 315 Total. $2,513,867 12,172 Average.. $ 193,374 936