ovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store manager estimates a probable six- eek lag between fertilizer sales and mower sales. The pertinent data are: Fertilizer Number of Fertilizer Number of Sales Mowers Sold Sales Mowers Sold eriod (tons) (six-week lag) Period (tons) (six-week lag) 1. 1.6 10 8 1.3 7 1.3 9 1.7 10 3 1.8 11 10 1.2 4 2.0 12 11 1.9 11 2.2 12 12 1.4 8 1.6 9 13 1.7 10 7 1.5 8 14 1.6 Determine the correlation between the two variables. Does it appear that a relationship exists between these variables will yield pod predictions? (Do not round intermediate calculations and round your answer to 3 decimal places.) %3D , it appears that a positive v relationship exists between these variables. Obtain a linear regression line for the data. (Negative values should be indicated by a minus sign. Do not round intermediate alculations and round your answers to 3 decimal places.) = Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 2 tons. (Round your nswer to the nearest whole number.)

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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:
Fertilizer
Number of
Fertilizer
Number of
Sales
Mowers Sold
Sales
Mowers Sold
Period
(tons)
(six-week lag) Period
(tons)
(six-week lag)
1
1.6
10
8.
1.3
7
1.3
8
1.7
10
3
1.8
11
10
1.2
6.
4
2.0
12
1.9
11
2.2
12
12
1.4
1.6
9.
13
1.7
10
7
1.5
14
1.6
a. Determine the correlation between the two variables. Does it appear that a relationship exists between these variables will yield
good predictions? (Do not round intermediate calculations and round your answer to 3 decimal places.)
it appears that a positive
v relationship exists between these variables.
b. Obtain a linear regression line for the data. (Negative values should be indicated by a minus sign. Do not round intermediate
calculations and round your answers to 3 decimal places.)
Y =
O Xi
+
c. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 2 tons. (Round your
answer to the nearest whole number.)
Expect
mowers to be sold in the first week of August.
O O H N 3
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: Fertilizer Number of Fertilizer Number of Sales Mowers Sold Sales Mowers Sold Period (tons) (six-week lag) Period (tons) (six-week lag) 1 1.6 10 8. 1.3 7 1.3 8 1.7 10 3 1.8 11 10 1.2 6. 4 2.0 12 1.9 11 2.2 12 12 1.4 1.6 9. 13 1.7 10 7 1.5 14 1.6 a. Determine the correlation between the two variables. Does it appear that a relationship exists between these variables will yield good predictions? (Do not round intermediate calculations and round your answer to 3 decimal places.) it appears that a positive v relationship exists between these variables. b. Obtain a linear regression line for the data. (Negative values should be indicated by a minus sign. Do not round intermediate calculations and round your answers to 3 decimal places.) Y = O Xi + c. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 2 tons. (Round your answer to the nearest whole number.) Expect mowers to be sold in the first week of August. O O H N 3
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