Question
Kathy Battle, owner of Flower Power, operates a local chain of floral shops. Each shop has its own delivery van. Instead of charging a flat
Kathy Battle, owner of Flower Power, operates a local chain of floral shops. Each shop has its own delivery van. Instead of charging a flat delivery fee, Battle wants to set the delivery fee based on the distance driven to deliver the flowers. Battle wants to separate the fixed and variable portions of her van operating costs so that she has a better idea how delivery distance affects these costs. Flower Power does a regression analysis on the next year's data using Excel. The output generated by Excel is as follows:
SUMMARY OUTPUT |
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Regression Statistics | |||||||||
Multiple R | 0.86 | ||||||||
R Square | 0.75 | ||||||||
Adjusted R Square | 0.70 | ||||||||
Standard Error | 171.55 | ||||||||
Observations | 7 | ||||||||
ANOVA |
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| df | SS | MS | F | Significance F | ||||
Regression | 1 | 435,336.22 | 435,336.22 | 14.79 | 0.0120 | ||||
Residual | 5 | 147,149.49 | 29,429.90 |
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Total | 6 | 582,485.71 |
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| Standard |
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| Lower | Upper |
| Coefficients | Error | t Stat | P-value | 95% | 95% |
Intercept | 709.81 | 1,150.73 | 0.62 | 0.56 | -2,248.24 | 3,667.85 |
X Variable 1 | 0.29 | 0.07 | 3.85 | 0.01 | 0.09 | 0.48 |
Requirements
1. | Determine the firm's cost equation (use the output from the Excel regression). |
2. | Determine the R-square (use the output from the Excel regression). What does Flower PowerFlower Power's R-square indicate? |
3. | Predict van operating costs at a volume of 17 comma 00017,000 miles assuming the company would use the cost equation from the Excel regression regardless of its R-square. Should the company rely on this cost estimate? Why or why not? |
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