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Linear relationship and the sample correlation coefficient Below are four bivariate data sets and the scatter plot for each. (Note that each scatter plot
Linear relationship and the sample correlation coefficient Below are four bivariate data sets and the scatter plot for each. (Note that each scatter plot is displayed on the same scale.) Each data set is made up of sample values drawn from a population. y 1.0 7.7 11 10+ 2.0 5.2 3.0 10.0 7+ U v 1.0 7.6 11 2.0 9.0 9. 3.0 6.9 7+ 4.0 6.0 6+ 4.0 5.4 6 5.0 1.9 5.0 7.9 4 6.0 5.1 3- 6.0 4.9 3 2. 7.0 9.2 7.0 4.2 8.0 3.7 0 8.0 7.2 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 9.0 9.5 9.0 6.0 Figure 1 Figure 2 10.0 7.0 10.0 4.0 wt m n 1.0 10.0 11 1.0 3.0 10+ x 11 10- 2.0 9.0 2.0 4.2 9+ x 3.0 8.0 8+ 3.0 3.9 8 7+ 4.0 7.0 4.0 4.5 6 5.0 6.0 5- 5.0 4.3 6.0 5.0 3- 2- 5 4. 6.0 7.0 3- 2. 7.0 4.0 7.0 6.0 8.0 3.0 0 8.0 7.6 + 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 9.0 2.0 Figure 3 10.0 1.0 9.0 6.9 10.0 8.3 Figure 4 Answer the following questions about the relationships between pairs of variables and the values of r, the sample correlation coefficient. The same response may be the correct answer for more than one question.
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