Question

26. A lawn and garden centre intends to use sales of lawn fertilizer to predict lawn mower sales. The store manager wishes to determine the relationship between fertilizer and mower sales. The pertinent data are Number Number Fertilizer of SalesMowers Fertilizer of Sales Mowers Period (tonnes) Sold Perlod (tonnes) Sold 1.6 1.3 1.8 2.0 10 1.3 10 10 1.9 1.4 4 1.6 1.5 13 10 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 ExcelsCORREL (RangeY,RangeX) to determine r, where RangeY is the range of Excel cells containing the y values and RangeX is the range of Excel cells containing the x values. You also need R2 RSQ(RangeYRangeX)) b. Obtain a linear regression line for the data. (You may use Excels =slope(RangeYRangeX) and -intercept(RangeYAangeX) to obtain the regression coefficients band a, respectively. Alternatively, use Trendline in the Layout menu.) c. Predict lawn mower sales, given fertilizer sales of 2 tonnes.

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Fertilizer #Mowers Period Sales sold 10 Correlation coefficient 0.960 0.921 R-squared 2.0 2.2 Remarks - high positive correla

Formulae used

A B Fertilizer # Mowers Period Sales sold 10 Correlation coefficient -CORREL(C3 C15,D3:D15) -RSQ(C3:C15,D3:D15) R-squared 4 2

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