Question
Davis Stores sells clothing in 15 stores located around the southwestern United States. The managers at Davis are considering expanding by opening new stores and
Davis Stores sells clothing in 15 stores located around the southwestern United States. The managers at Davis are considering expanding by opening new stores and are interested in estimating costs in potential new locations. They believe that costs are driven in large part by store volume measured by revenue. During a discussion, one of the managers suggests that number of employees might be better at explaining cost than store revenues. As a result of that suggestion, managers collected the following information from last years operations (revenues and costs in thousands of dollars):
Store | Costs | Employees | Revenues |
101 | $1,938 | 27 | $2,315 |
102 | 2,280 | 36 | 3,487 |
103 | 2,732 | 37 | 4,245 |
104 | 3,257 | 40 | 6,059 |
105 | 4,348 | 33 | 5,552 |
106 | 5,536 | 46 | 3,842 |
107 | 5,436 | 52 | 3,592 |
108 | 3,080 | 40 | 2,989 |
109 | 3,914 | 54 | 3,670 |
110 | 2,487 | 30 | 5,828 |
111 | 2,685 | 37 | 3,203 |
112 | 5,174 | 35 | 4,009 |
113 | 5,717 | 45 | 6,332 |
114 | 2,383 | 29 | 6,619 |
115 | 2,978 | 35 | 4,461 |
Required
a. Use the high-low method to estimate the fixed and variable portions of store costs based on employees. (Do not round your intermediate calculations. Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places. Enter your answers in thousands of dollars.)
b. Use the results of your high-low analysis to estimate the cost for a store with 55 employees. (Do not round your intermediate calculations. Negative amounts should be indicated by a minus sign. Round your answer to the nearest whole number (in thousands of dollars).)
c. Prepare a scattergraph between store cost and employees.
d-1. Enter the regression coefficients. (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.)
d-2. Estimate the cost of a store with 55 employees using the results from a simple regression of store cost on employees. (Round your intermediate calculations and final answer to 2 decimal places.)
e-1. Enter the regression coefficients. (Round "Intercept", "Employees" and "Revenues" to 2 decimal places. Negative amounts should be indicated by a minus sign.)
e-2. Estimate the cost of a store with revenues of $3.50 million and 55 employees using the results of a multiple regression of store costs on store revenues and employees. (Round "Intercept", "Employees" and "Revenues" to 2 decimal places in the intermediate calculations. Round your final answers to 2 decimal places.)
Variable cost (per employee) Fixed cost Store cost Store cost Methods of Estimating Costs: Davis Stores $7,000 $6,000 - $5,000 000 Costs ($000) $2,000 $1,000 - 0 10 20 30 40 50 60 Employees Intercept Employees Store cost Intercept Revenues Employees Store cost
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