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

 

Week	Number	Week	Number	Week	Number
1	410	7	460	13	540
2	420	8	480	14	550
3	430	9	500	15	570
4	420	10	490	16	580
5	430	11	510	17	590
6	440	12	530	18	600

 

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

Y=______________ + ___________t

 

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

The forecasted demand for week20 is ____________ and week 21 is _________________

c. The manager intends to install new equipment when the volume exceeds 990 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.)
 

It should reach 990 loadings in Week_____________

 

 

 

2. Compute seasonal relatives for this data using the simple averaging (SA) method:

Quarter	Year 1	Year 2	Year 3	Year 4
1	2	3	5	8
2	7	9	13	14
3	1	3	6	8
4	4	7	8	9

(Round all your answers to three decimal points.)

 

 

Quarter 1_________________

Quarter 2___________

Quarter 3____________

Quarter 4______________