A lawn and garden centre intends to use sales of lawn fertilizer to predict lawn mower sales. The store manager wishes to determine tire relationship between fertilizer and mower sales. Tire pertinent data are:

a. Determine the correlation between the two variables. Does it appear that a relationship between these variables will yield good predictions? Explain. (You may use Excel’s “=C0RREL (Range Y, Range X)” to determine r, where Range Y is the range of Excel cells containing the y values and Range X is the range of Excel ce11s containing the x values. You also need R², RSQ (Range Y, Range X).

b. Obtain a1inear regression line for the data. (You may use Excel4s “=slope (Range Y, Range X)” and “=intercept Range Y, Range X)” to obtain the regression coefficients b and α, respectively. Alternatively, use Trendline in the Layout menu.)

c. Predict lawn mower sales, given fertilizer sales of 2 tonnes.

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Period 1 2 UN 3 4 45 6 7 **** Fertilizer Sales (tonnes) 1.6 1.3 1.8 2.0 2.2 1.6 1.5 Number of Mowers Sold 10 8 11 12 12 9 8 Courses Period 8 9 10 11 12 13 Fertilizer Sales (tonnes) 1.3 1.7 1.2 1.9 1.4 1.7 Number of Mowers Sold 706180 11