cf_MAT540_w4_ch15_hwk1_template.xlsx

P1

Carpet City

Month Demand for Soft Shag Carpet (1,000 yd.) 3 mos moving average forecast Weighted 3 mos moving average forecast Error abs() Error abs()

1 10

2 9

3 8

4 9

5 10

6 12

7 14

8 11

9

Please apply weights stated in the problem Weights: 0.55 (most recent month), 0.35, 0.10

Compute MAD on 3 mos moving average Note: average over month 4 through 8 only. No data available to month 9

Compute MAD on weighted 3 mos moving average Note: average over month 4 through 8 only. No data available to month 9

Which is a better forecast method?

P2

Petroco Service Station

alpha = 0.4

Month Gas Demand Exp Forecast Error

October 775 —-

November 835

December 605

January 450

February 600

March 700

April 820

May 925

June 1500

July 1200

August

8410 SUM

MAPD

P3

Science and Technology Mutual Fund

alpha = 0.3

Month Fund Price 3 mos moving average forecast Weighted 3 mos moving average forecast Exp Forecast 3 mos MA error Weighted 3 mos MA error Exp. Smoothing error

1 55 3/4 —- —- —-

2 54 1/4 —- —-

3 55 1/8 —- —-

4 58 1/8

5 53 3/8

6 51 1/8

7 56 1/4

8 59 5/8

9 62 1/4

10 59 1/4

11 62 3/8

12 58

13 58 1/8

14 62 3/4

15 64 3/4

16 66 1/8

17 68 3/4

18 60 1/2

19 65 7/8

20 72 1/4

21

Please apply weights stated in the problem Weight 0.5 (most recent), 0.3, 0.2

Compute MAD on 3 mos moving average

Compute MAD on weighted 3 mos moving average

Compute MAD on exponentially smoothed forecast

Which is a better forecast method?

P4

Carpet City Regression

X – axis Y – axis

Monthly Construction Permits Monthly Carpet Sales (1,000 yd.)

17 9

25 14

8 10

7 12

14 15

7 9

45 24

19 21

28 20

28 29

Place regression output here

Y = A + Bx

A =

B =

Forecast Carpet sales for 30 construction permits

Correlation Coefficient

P5

Gilley’s Ice Cream Parlor

x y

Ave. Temp Ice cream Sold

Week (degrees) (gal.)

1 68 80

2 70 115

3 73 91

4 79 87

5 77 110

6 82 128

7 85 164

8 90 178

9 85 144

10 92 179

11 90 144

12 95 197

13 80 144

14 75 123

Place regression output here

(a) Y = A + Bx

A =

B =

(b) Correlation Coefficient

(c’) Coefficient of Determination

Explain the meaning of the coefficient of Determination below. What does it indicate?

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