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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 385? Round your answer to 1 decimal place.

Cost Quantity
54.4 844
52.1 503
60.2 300
53.8 869
51.7 525
57.1 1030
61.1 288
49.8 577
53.9 490
48.2 588
47.5 606
57.4 325
59.6 1160
58.2 1072
58.7 308
58.1 1140
48.4 627
63.4 214
62.5 207
62.5 1174
62.7 1190
61.2 1166
55.9 1067
51.3 655
57.1 384
58.2 367
55.8 927
54.9 890
54.7 495
50.2 780
60.8 1168
54.8 403
51.3 741
51.9 712
49.8 612
55.5 870

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