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An advertising firm wishes to demonstrate to its clients the effectiveness of the advertising campaigns it has conducted. The following bivariate data on twelve Espanol
An advertising firm wishes to demonstrate to its clients the effectiveness of the advertising campaigns it has conducted. The following bivariate data on twelve Espanol recent campaigns, including the cost of each campaign (denoted by x, in millions of dollars) and the resulting percentage increase in sales (denoted by y) following the campaign, were presented by the firm. A scatter plot of the data is shown in Figure 1. Also given is the product of the campaign cost and the percentage increase in sales for each of the twelve campaigns. (These products, written in the column labelled "xy", may aid in calculations.) Campaign Increase in cost, x sales, y xy (in millions of dollars) (percent) 2.45 6.59 16.1455 7.2- 3.58 6.91 24.7378 7- Y X X 3.78 6.77 25.5906 6.8- X Y 1.56 6.60 10.296 6.6- X (percent) Increase in sales Y X 2.12 6.81 14.4372 6.4- X 3.21 6.47 20.7687 6.2_ X 3.77 6.92 26.0884 2.00 6.54 13.08 1'5 2 2.5 3 3.5 3.07 6.89 21.1523 Campaign cost 3.09 6.54 20.2086 (in millions of dollars) Figure 1 1.10 6.40 7.04 1.64 6.15 10.086 Send data to calculator What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.)
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