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 Number of Mowers Sold
1 1.6 12.0
2 1.3 10.0
3 1.8 13.0
4 2.0 15.0
5 2.2 15.0
6 1.5 11.0
7 1.6 12.0
8 1.4 10.0
9 1.8 13.0
10 1.4 10.0
11 1.9 15.0
12 1.4 11.0
13 1.7 14.0
14 1.4 13.0
a. Determine the correlation between the two variables. Does it appear that a relationship between these variables will yield reasonable 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.
Using an online correlation Coefficient calculator, the correlation Coefficient, R between the number of lawn fertilizer sold and the number of lawn mowers sold is 0.8815. This R value depicts a strong positive correlation between both variables.
The regression line equation obtained by Plotting the values to generate a linear model is :
