Determine a linear trend line for expected freight car loadings. (Round your int

Question

    

   

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

   

     

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

   

    

The manager intends to install new equipment when the volume exceeds 840 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.)

    

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

Explanation / Answer

1

b=((18*68445)-(171*6465))/(18*2109)-29241

= 14.50

a=6465-(14.5*171)

=3985.50

y=a+bt

=3985.5+14.5t

(b) Expected loading for weak 20

t=20

y=a+bt

=3985.5+14.5t

=3985.5+14.5(20)

=4275.50

Expected loading for weak 21

t=21

y=a+bt

=3985.5+14.5t

=3985.5+14.5(21)

=4290

(a) t (weak) t2 y(number) ty

1

1 260 260 2 4 265 530 3 9 270 810 4 16 265 1060 5 25 270 1350 6 36 275 1650 7 49 325 2275 8 64 345 2760 9 81 365 3285 10 100 360 3600 11 121 380 4180 12 144 400 4800 13 169 405 5265 14 196 410 5740 15 225 460 6900 16 256 465 7440 17 289 470 7990 18 324 475 8550 total 171 2109 6465 68445 total2 29241

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