Use straight-line-quadratic and cubic formulas

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Reference no: EM13816750

You have been presented with the following cost data and asked to fit a statistical cost function.

Quantity            Total Cost

10                     104

20                     107

30                     109

40                     111.5

50                     114.5

60                     118

70                     123

80                     128.5

90                     137

100                   150

To help me learn the calculations, PLEASE show all your work.

1. Fit three possible statistical cost functions to the data. Use straight-line, quadratic, and cubic formulas.

2. Discuss the statistical results you obtained in question 1. Include in your discussion R2 , the coefficients, and the statistical significance of the coefficients. For the statistical significance test, use the p-test rather than the t-test. If you decide to use the t-test, you first have to find the degrees of freedom and then find the appropriate critical t-value in Table A.4 on page 575.

3. If the data represent 10 months of production for one plant of a specific company, would you consider this to be a short-run analysis?

4. How would your answer to question 3 change if you were told that the data represent 10 different plants during a particular month of the year?

Reference no: EM13816750

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