Business, 19.03.2020 01:17 tchase0616

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:

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Answer from: marvin07

Complete question:

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 Fertilizer Sales (tons) Number of Mowers Sold (six-week lag)

1 1.4 9

2 1 7

3 1.5 10

4 1.8 12

5 2.1 13

6 1.5 7

7 1.3 5

8 1.2 5

9 1.6 8

10 1.3 7

11 1.6 11

12 1.3 9

13 1.4 10

14 1.8 12

a. Graph these data to see whether a linear equation might describe the relationship between fertilizer and mowers.

b. Obtain a linear regression line for the data

c. Predict expected lawn mower sales for Period 15, given fertilizer sales six weeks earlier of 2.3 tons.

Solution:

a. Find the attachment for graph

Fertilizer Mowers

x y

1.4 9 1.96 81 12.6

1 7 1 49 7

1.5 10 2.25 100 15

1.8 12 3.24 144 21.6

2.1 13 4.4 116 27.3

1.5 7 2.25 49 10.5

1.35 5 1.69 25 6.5

1.2 5 1.44 25 6

1.6 8 2.56 64 12.8

1.3 7 1.69 49 9.1

1.6 11 2.56 121 17.6

1.3 9 1.69 81 11.7

1.4 10 1.96 100 14

1.8 12 3.24 144 21.6

Σ =20.8 125 31.94 1201 193.3

x = 1.486

y = 8.929

EXY- nXY 193.3- (149.486 -1.486)

Calculated using the formula b =9 = 31 .94 - (14 *1. 486 *1 A86 ) =7.31405

X2 - 7.31405

Calculated using Excel a =Y - bX = 8.929 - 7.31405 *1.486 = -1.938017

Y = a + bx = -1.93802 + 7.31405x

c. Using the formula

Y = a + bx = -1.58678 + 7.033058x

= 14.8843

Using Excel's Forecast

Forecast - 14.58926

Lovely lawns, inc., intends to use sales of lawn fertilizer to predict lawn mower sales. the store m

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