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The following table presents the orders of Samson Company for the last 36 months

ID: 3202438 • Letter: T

Question

The following table presents the orders of Samson Company for the last 36 months (3 years).

Month

Order Year 1

Order Year 2

Order Year 3

January

502

614

712

February

408

592

698

March

491

584

686

April

456

532

644

May

481

599

694

June

511

604

702

July

522

624

724

August

500

612

716

September

510

625

732

October

512

627

740

November

520

650

745

December

536

680

756

Use the data in the above table and regression analysis to forecast the orders for the next 12 months (4th year). Include your excel work sheet and your work in your write up. Show the regression equation, values of intercept, slope, correlation coefficient and coefficient determination and the forecast of orders for the next 12 months.

Explain how you could make your forecast’s results more reliable by incorporating a qualitative research to your quantitative results.

Month

Order Year 1

Order Year 2

Order Year 3

January

502

614

712

February

408

592

698

March

491

584

686

April

456

532

644

May

481

599

694

June

511

604

702

July

522

624

724

August

500

612

716

September

510

625

732

October

512

627

740

November

520

650

745

December

536

680

756

Explanation / Answer

You can calculate the above in the excel by going to Data==>Data Analysis==>Regression, Input X range and Input Y range. X range would be months and Y range would be Orders.

Input would be: -

Output would be: -

y=444.43+8.77x

Based on the equation above, the forecasts would be as follows:-

y(37)=444.43+8.77(37)=768.96

y(38)=444.43+8.77(38)=777.73

y(39)=444.43+8.77(39)=786.51

y(40)=444.43+8.77(40)=795.28

y(41)=444.43+8.77(41)=804.05

y(42)=444.43+8.77(42)=812.82

y(43)=444.43+8.77(43)=821.59

y(44)=444.43+8.77(44)=830.36

y(45)=444.43+8.77(45)=839.13

y(46)=444.43+8.77(46)=847.91

y(47)=444.43+8.77(47)=856.68

y(48)=444.43+8.77(48)=865.45

Calculate manually like below: -

Month (x) Orders (y) 1 502 2 408 3 491 4 456 5 481 6 511 7 522 8 500 9 510 10 512 11 520 12 536 13 614 14 592 15 584 16 532 17 599 18 604 19 624 20 612 21 625 22 627 23 650 24 680 25 712 26 698 27 686 28 644 29 694 30 702 31 724 32 716 33 732 34 740 35 745 36 756
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