tion coefficient. 37. Draw Your Data! Consider the four data sets shown below. 44 ir Data Set 1 Data Set 2 Data Set 3 S Data Set 4 ti x y X y X y X y 10 8.04 10 9.14 10 7.46 8 6.58 8 6.95 8 8.14 8 6.77 8 5.76 13 7.58 13 8.74 13 12.74 8 7.71 9 8.81 9 8.77 9 7.11 8 8.84 11 8.33 11 9.26 11 7.81 8 8.47 14 9.96 14 8.10 14 8.84 8 7.04 6 7.24 6 6.13 6 6.08 8 5.25 4 4.26 4 3.10 4 5.39 8 5.56 12 10.84 12 9.13 12 8.15 8 7.91 7 4.82 7 7.26 7 6.42 8 6.89 5 5.68 5 4.47 5 5.73 19 12.50 Source: Frank Anscombe. "Graphs in Statistical Analysis," American Statistician 27: 17-21, 1993. (a) Compute the linear correlation coefficient for each data set. (b) Draw a scatter diagram for each data set. Conclude that linear correlation coefficients and scatter diagrams must be used together in any statistical analysis of bivariate data. N

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