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Graphing costs and interpreting regression output (adapted from CMA exam). Management of Tino's Tacos wants to estimate overhead costs accurately to plan the company's operations and assess its financial needs. A trade association publication reports that certain overhead costs tend to vary with tacos made. Management gathered monthly data on tacos and overhead costs for the past two years for five taco restaurants. No major changes in operations were made over this time period. The data follow:
Month No. Number of Tacos Overhead Costs
3
.......................................
22,000
44,750
4
23,000
45,000
5
20,000
40,750
6
19,000
37,750
7
14,000
35,250
8
10,000
32,250
9
12,000
34,500
10
17,000
37,500
11
16,000
35,750
12
39,000
13
21,000
43,000
14
24,000
46,500
15
16
43,500
17
40,000
18
18,000
38,250
19
33,750
20
13,000
35,500
21
15,000
36,750
22
36,250
23
24
An analyst entered these data into a computer regression program and obtained the fol- lowing output:
Coefficients of the Equation:Intercept $19,930Independent Variable (slope) 1.0774
•Prepare a graph showing the overhead costs plotted against tacos.
•Use the results of the regression analysis to prepare the cost estimation equation and to prepare a cost estimate for 20,000 tacos for one month.
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