Draw Your Data!Consider the four data sets shown below.
Data Set 1 | Data Set 2 | Data Set 3 | Data Set 4 | ||||
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 |
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.
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