DATA 48. Transformations Consider the following data set: X 5 6 7 7 8 8 8 8 у 4.2 5 5.2 5.9 6 6.2 6.1 53 ha gel bet 54.

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DATA 48. Transformations Consider the following data set: X 5 6 7 7 8 8 8 8 у 4.2 5 5.2 5.9 6 6.2 6.1 53 ha gel bet 54. Inc 6.9 .X 9 9 10 10 11 11 12 12 7.2 y 8 8.3 7.4 8.4 7.8 8.5 9.5 con 55. Wh cau: (a) Draw a scatter diagram with the x-axis starting at 0 and ending at 30 and with the y-axis starting at 0 and ending at 20. (b) Compute the linear correlation coefficient. (c) Now multiply both x and y by 2. (d) Draw a scatter diagram of the new data with the x-axis starting at 0 and ending at 30 and with the y-axis starting at 0 and ending at 20. Compare the scatter diagrams. (e) Compute the linear correlation coefficient. (f) Conclude that multiplying each value in the data set by a nonzero constant does not affect the correlation between the variables. Explain why this is the case. 56. bety and repr spen 57. S Dray betw