Question
1. estimate a linear cost function
2. estimate a quadratic cost function
3. estimate a cubric cost function
1 A B с D 1 Cost data for a lumber mill 2 3 TC 4 11 5 32 2 6 93 3 7 248 4 8 575 5 9 1176 6 10 2177 7 11 3728 8 12 6003 9 13 9
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Answer #1

Answer

The graph is drawn below which is made on excel .Using the add trendline feature the equation linear ,quadratic ,cubic can be estimated .

Folowing is the lienar trend with equation written on it

200000 y = 6776.4x - 36975 R2 = 0.758 150000 100000 -Series1 -Linear (Series1) -Linear (Series1) 50000 0 0 5 10 15 20 25 -500

Folowing is the Quadratic trend with equation written on it

60000 50000 y = 408.29x2 -7698x + 34543 40000 30000 -Series1 – Poly. (Series1) 20000 10000 0 0 5 10 15 20 25 -10000

Folowing is the cubicr trend with equation written on it

60000 50000 40000 y = 31x2 - 800.71x2 + 6983.6x-2014 R2 = 0.9998 30000 -Series1 – Poly. (Series1) 20000 10000 0 0 5 10 15 20

We can see that cubic equation satisifed it as R square value is near one .This is the best estimating equation of the data given .

Have a good day !

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