Lovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store manager estimates a probable six- week lag between fertilizer sales and mower sales. The pertinent data are: Period 1 2 3 A E 5 6 7 9 10 11 12 13 14 Fertilizer Sales 1.5 1.2 1.9 21 2.1 56 2.3 27 1.4 *** 1.5 ** 1.3 1.5 Intercept (a) Slope (b) 1.1 2.0 1.3 1.7 1.4 Number of Mowers Sold 10 8 13 13 14 14 14 10 10 11 9 14 9 11 9 a. Determine the correlation between the two variables. (Round your answer to four decimal points.) Correlation Coefficient b. Obtain a linear regression line for the data. (Round your answers to four decimal points.) c. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 1.9 tons. (Round your answer to two decimal points.) Resulting Forecast
Lovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store manager estimates a probable six- week lag between fertilizer sales and mower sales. The pertinent data are: Period 1 2 3 A E 5 6 7 9 10 11 12 13 14 Fertilizer Sales 1.5 1.2 1.9 21 2.1 56 2.3 27 1.4 *** 1.5 ** 1.3 1.5 Intercept (a) Slope (b) 1.1 2.0 1.3 1.7 1.4 Number of Mowers Sold 10 8 13 13 14 14 14 10 10 11 9 14 9 11 9 a. Determine the correlation between the two variables. (Round your answer to four decimal points.) Correlation Coefficient b. Obtain a linear regression line for the data. (Round your answers to four decimal points.) c. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 1.9 tons. (Round your answer to two decimal points.) Resulting Forecast
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Lovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store manager estimates a probable six-
week lag between fertilizer sales and mower sales. The pertinent data are:
Period
1
2
3
5
6
7
8
9
10
11
12
13
14
Fertilizer
Sales
1.5
1.2
1.9
2.1
Intercept (a)
Slope (b)
2.3
1.4
1.5
1.3
1.5
1.1
2.0
1.3
1.7
1.4
Number of
Mowers Sold
10
8
13
14
14
10
10
9
11
9
14
9
11
9
a. Determine the correlation between the two variables. (Round your answer to four decimal points.)
Correlation Coefficient
b. Obtain a linear regression line for the data. (Round your answers to four decimal points.)
c. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 1.9 tons. (Round your
answer to two decimal points.)
Resulting Forecast
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