Calculate the Empirical Cost Function with Regression Analysis
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Question
Precision Engineering department has collected data on its average costs of production for the past 12 months. The monthly fixed cost is $4000 per month. The AVC and associated output data are presented below:
| Month | Q | AVC $ |
| Jan | 70 | 375 |
| Feb | 58 | 540 |
| Mar | 160 | 450 |
| Apr | 120 | 255 |
| May | 130 | 138 |
| Jun | 120 | 150 |
| Jul | 10 | 450 |
| Aug | 35 | 350 |
| Sep | 80 | 60 |
| Oct | 110 | 70 |
| Nov | 100 | 90 |
| Dec | 190 | 153 |
Run the appropriate regression to calculate the estimated parameters for the empirical cost function AVC = a + bQ + cQ2. The answer should include regression output from the statistical software.
Summary
The question belongs to Statistics and it is about calculating the empirical cost function AVC = a + bQ + cQ2 by running the appropriate regression analysis.
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