For each X-Y data set (n =12): (a) Make a scatter plot. (b) Find the sample correlation coefficient. (c) Is there a linear relationship between X and Y? If so, describe it. Note: Use Excel or MegaStat or MINITAB if your instructor permits.
Data Set (a)
X | 64.7 | 25.9 | 65.6 | 49.6 | 50.3 | 26.7 | 39.5 | 56.0 | 90.8 | 35.9 | 39.9 | 64.1 |
Y | 5.8 | 18.1 | 10.6 | 11.9 | 11.4 | 14.6 | 15.7 | 4.4 | 2.2 | 15.4 | 14.7 | 9.9 |
Data Set (b)
X | 55.1 | 59.8 | 72.3 | 86.4 | 31.1 | 41.8 | 40.7 | 36.8 | 42.7 | 28.9 | 24.8 | 16.2 |
Y | 15.7 | 17.5 | 15.2 | 20.6 | 7.3 | 8.2 | 9.8 | 8.2 | 13.7 | 11.2 | 7.5 | 4.5 |
Data Set (c)
X | 53.3 | 18.1 | 49.8 | 43.8 | 68.3 | 30.4 | 18.6 | 45.8 | 34.0 | 56.7 | 60.3 | 29.3 |
Y | 10.2 | 6.9 | 13.4 | 13.4 | 16.8 | 9.5 | 16.3 | 16.4 | 1.5 | 11.4 | 10.9 | 19.7 |
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