Lovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store man- ager estimates a probable six-week lag between fertilizer sales and mower sales. The pertinent data are: Period 1 234567 2 3 4 5 7 Fertilizer Sales (tons) 1.6 1.3 1.8 2.0 2.2 1.6 1.5 Number of Mowers Sold (six-week lag) 10 8 11 12 12 9 8 Period 8 9 10 11 12 13 14 Fertilizer Sales (tons) 1.3 1.7 1.2 1.9 1.4 1.7 1.6 Number of Mowers Sold (six-week lag) 7 10 6 11 8 10 9 a. Determine the correlation between the two variables. Does it appear that a relationship between these variables will yield good predictions? Explain. b. Obtain a linear regression line for the data. c. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 2 tons.

Practical Management Science
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Chapter2: Introduction To Spreadsheet Modeling
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Subject : production and operation management

Lovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store man-
ager estimates a probable six-week lag between fertilizer sales and mower sales. The pertinent data are:
Period
1
2
3
4
5
6
7
Fertilizer
Sales
(tons)
1.6
1.3
1.8
2.0
2.2
1.6
1.5
Number of
Mowers Sold
(six-week lag)
10
8
11
12
12
9
8
Period
8
9
10
11
12
13
14
Fertilizer
Sales
(tons)
1.3
1.7
1.2
1.9
1.4
1.7
1.6
Number of
Mowers Sold
(six-week lag)
7
10
6
11
8
10
9
a. Determine the correlation between the two variables. Does it appear that a relationship between
these variables will yield good predictions? Explain.
b. Obtain a linear regression line for the data.
c. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks
earlier of 2 tons.
Transcribed Image Text:Lovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store man- ager estimates a probable six-week lag between fertilizer sales and mower sales. The pertinent data are: Period 1 2 3 4 5 6 7 Fertilizer Sales (tons) 1.6 1.3 1.8 2.0 2.2 1.6 1.5 Number of Mowers Sold (six-week lag) 10 8 11 12 12 9 8 Period 8 9 10 11 12 13 14 Fertilizer Sales (tons) 1.3 1.7 1.2 1.9 1.4 1.7 1.6 Number of Mowers Sold (six-week lag) 7 10 6 11 8 10 9 a. Determine the correlation between the two variables. Does it appear that a relationship between these variables will yield good predictions? Explain. b. Obtain a linear regression line for the data. c. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 2 tons.
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