Consider the following list of possible correlation coefficients. Use this list

Question

Consider the following list of possible correlation coefficients. Use this list to answer questions 11 through 13. (A)t=-1.05 (B) r--098 (C) r--0.64 (D) r=-0.36 (E) r = 0.04 (F) r=0.63 (G) r=0.93 (H) r=1.42 11. (2 points) Which of the choices above reveals the strongest correlation between the two variables? 12. (2 points) Which of the choices above reveals the weakest correlation between the two variables? 13. (2 points) Which of the choices above matches the relationship revealed in the scatterplot below? 40 20 0 10 20 30 4050 60 A researcher collects data for a sample of six people, and records X and Y, as below. Use this data to complete questions 14 and 15. The last three columns are provided to help in case you decide to complete question 15 by hand. XY 10 21 15 32 10 12 100 10 100 49 25 64. 100 144 343 4 16 10 12 39 26 176

Explanation / Answer

Correlation is only valid between [-1,1]

11) Option (B) is the right answer since -0.98 is closest to -1 (i.e. difference of 0.02) while (G) option had a difference of 0.07 with 1

So answer is option (B)

12) Option (E) is the right answer since 0.04 is closest to 0 from all of them.

13) Just by seeing we can observe that the scatterplot have a high correlation between x and y and a positive correlation since as y is increasing x is also increasing

So our answer should be option (G) 0.93

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