Question: A materials manager is analyzing the relationship between order costs and average quantity per order. She believes the relationship may be non-linear because order processing

A materials manager is analyzing the relationship between order costs and average quantity per order. She believes the relationship may be non-linear because order processing costs decrease as the quantity increases, and holding costs decrease as the quantity increases. The attached data set has monthly data over 36 months.

Fit a quadratic model that predicts cost based on quantity. Based on this model what is the predicted cost if order quantity is 371? Round your answer to 1 decimal place.

Time Per Unit Unit Number
18.30 3
17.50 5
12.80 8
11.30 12
10.00 17
8.50 21
8.90 24
8.70 27
8.10 30
8.20 32
8.30 37
7.60 39
6.90 41
7.30 44
7.20 48
7.00 52
7.10 54
6.30 58
6.60 60
6.50 64
6.80 67
6.90 69
6.20 75
6.10 78
6.00 82
5.70 87
5.90 90
5.80 92
5.70 96
5.60 100

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