Determine the least squares equation


Q1. Listed below is the net sales in $million for Home Depot Inc. and its subsidiaries from 1993 to 2004.

Year

Net Sales

Year

Net Sales

1993

$9,239

1999

$38,434

1994

12477

2000

45738

1995

15470

2001

53553

1996

19535

2002

58247

1997

24156

2003

64816

1998

30219

2004

73094

Determine the least squares equation. According to this information, what are the estimated sales for 2008 and 2009?

Q2. The Appliance Centre sells a variety of electronic equipment and home appliances. For the last four years the following quarterly sales (in $ millions) were reported.

Quarter

Year

I

II

III

IV

2005

$5.30

$4.10

$6.80

$6.70

2006

4.8

3.8

5.6

6.8

2007

4.3

3.8

5.7

6

2008

5.6

4.6

6.4

5.9

Determine a typical seasonal index for each of the four quarters.

Q3. Team Sports Inc. sells sporting goods to high schools and colleges via a nationally distributed catalogue. Management at Team Sports estimates it will sell 2000 Wilson Model A2000 catcher's mitts next year. The deseasonalized sales are projected to be the same for each of the four quarters next year. The seasonal factor for the second quarter is 145. Determine the seasonally adjusted sales for the second quarter of next year.

Q4. The quarterly production of pinelumber in millions of board feet,by Northwest Lumber since 2004 is:

Quarter

Winter

Spring

Summer

Fall

7.8

10.2

14.7

9.3

6.9

11.6

17.5

9.3

8.9

9.7

15.3

10.1

10.7

12.4

16.8

10.7

9.2

13.6

17.1

10.3

a) Determine the typical seasonal pattern for the production data using the ratio-to-moving-average method.

b) Interpret the pattern.

c) Deseasonalize the data and determine the linear trend equation.

d) Project the seasonally adjusted production for the four quarters of 2009.

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Basic Statistics: Determine the least squares equation
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