between number of customers per week and weekly total restaurant costs. quation using the high-low method and draw this line on your graph. line on your graph. Use your graph to evaluate the regression line using the criteria of economic I significance of the independent variable. Is the cost function estimated using the high-low met

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter9: Applications Of Cost Theory
Section: Chapter Questions
Problem 1.2CE
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3-32 ** High-low method, regression analysis OBJECTIVES 4, 5
Rockhampton College has recently opened a restaurant as part of its hospitality major. For the first 10 weeks the manager did
not estimate any costs but instead hoped revenues would cover costs. One of the new waiters, who happens to be taking a cost
accounting class, suggests that the manager take the past known weekly costs and try to determine a cost equation by relating the
cost to the number of customers served. The cost and customer data are as follows:
Week
Number of customers per week Weekly total costs of restaurant
751
$16800
745
16597
3
810
17 800
4
833
18 600
825
876
17900
19600
7
855
18900
8.
897
18500
925
20305
10
910
20000
The manager gives this information to the waiter, who runs a regression and gets the following equation:
Weekly total restaurant costs = $2453 + ($19.04 × Number of customers per week)
Required
1 Plot the relationship between number of customers per week and weekly total restaurant costs.
2 Estimate the cost equation using the high-low method and draw this line on your graph.
3 Draw the regression line on your graph. Use your graph to evaluate the regression line using the criteria of economic plausibility,
goodness of fit and significance of the independent variable. Is the cost function estimated using the high-low method a close
approximation to the cost function estimated using the regression method? Explain briefly.
4 At what point (number of customers) will the expected total cost based on the high-low equation equal the expected total cost
based on the regression equation?
Transcribed Image Text:3-32 ** High-low method, regression analysis OBJECTIVES 4, 5 Rockhampton College has recently opened a restaurant as part of its hospitality major. For the first 10 weeks the manager did not estimate any costs but instead hoped revenues would cover costs. One of the new waiters, who happens to be taking a cost accounting class, suggests that the manager take the past known weekly costs and try to determine a cost equation by relating the cost to the number of customers served. The cost and customer data are as follows: Week Number of customers per week Weekly total costs of restaurant 751 $16800 745 16597 3 810 17 800 4 833 18 600 825 876 17900 19600 7 855 18900 8. 897 18500 925 20305 10 910 20000 The manager gives this information to the waiter, who runs a regression and gets the following equation: Weekly total restaurant costs = $2453 + ($19.04 × Number of customers per week) Required 1 Plot the relationship between number of customers per week and weekly total restaurant costs. 2 Estimate the cost equation using the high-low method and draw this line on your graph. 3 Draw the regression line on your graph. Use your graph to evaluate the regression line using the criteria of economic plausibility, goodness of fit and significance of the independent variable. Is the cost function estimated using the high-low method a close approximation to the cost function estimated using the regression method? Explain briefly. 4 At what point (number of customers) will the expected total cost based on the high-low equation equal the expected total cost based on the regression equation?
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