Chapter 12 | More than One Variable: Association and Correlation 2. Anscombe's Activity These data were created by F.J. Anscombe in 1973 to remind us of the importance of plotting our data. You will see these data in other exercises. We are using the notation for the variables that Anscombe used. TABLE 12.9 Obs x1 y1 x4 y4 10 8.04 8 6.58 2 6.95 8 5.76 00 3 13 7.58 7.71 00 4 9 8.81 8.84 11 8.33 8.47 V 6 7.24 5.25 14 9.96 7.04 00 4.26 19 12.5 12 10.84 5.56 10 4.82 00 7.91 11 UT 5.68 8 6.89 . Which of the following is the correct scatterplot of variable y1 on the vertical axis versus variable x1 on the horizontal axis? i. iii. Graph A Graph C 16 12 10 ONAGOONE ONAOCC 10 12 2 3 4 5 6 7 8 9 10 11 ii. iv. Graph B Graph D 16 10 ONACOON 6 8 10 12 14 16 8 10 12 290 Beyond the Numbers: A Student-Centered Approach for Learning Statistical ReasoningChapter 12 | More than One Variable: Association and Correlation b. Compute the correlation coefficient for the variables x1 and y1. What is it? i. 0.82 ii. -0.82 iii. 0.67 iv. -0.67 c. Use software (e.g. Excel, online applet) to construct a scatterplot of y4 (vertical axis) versus x4 (horizontal axis). Describe the shape. d. Compute the correlation coefficient for the variables x4 and y4. What is it? i. 0.82 ii. -0.82 iii. 0.67 iv. -0.67 e. Reflect on your answers to parts a-d. What are the implications for the information contained in the correlation coefficient as a simple statistical summary of association