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Freight car loadings over an 18-week period at a busy port are as follows: Week Number Week Number Week Number 1 230 7 320 13

Freight car loadings over an 18-week period at a busy port are as follows:

Week Number Week Number Week Number
1 230 7 320 13 510
2 250 8 370 14 520
3 270 9 420 15 560
4 250 10 400 16 580
5 270 11 450 17 600
6 280 12 500 18 620

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a. Determine a linear trend line for expected freight car loadings. (Round your intermediate calculations and final answers to 2 decimal places.)

b. Use the above trend equation to predict expected loadings for Weeks 20 & 21. (Round your final answers to 2 decimal places.)

c. The manager intends to install new equipment when the volume exceeds 810 loadings per week. Assuming the current trend continues, in which week (at the earliest) should the loading volume reach that level? (Use the rounded answers, as required, from any previous part of this problem. Do not round any other intermediate calculations. Round your final answer to 2 decimal places.)

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