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Linear relationship and the sample correlation coefficient Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are
Linear relationship and the sample correlation coefficient
Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale. ) Each data set is made up of sample values drawn from a population. X y u V 11 - 1.0 6.8 10 - X 1.0 7.7 10- X 9 _ X X 2.0 9.4 2.0 9.1 8 - X 8 - 3.9 3.0 6.9 X X 3.0 X 7- X X 4.0 8.9 X 4.0 5.1 X X X X X 5.0 5.2 5.0 7.9 X X X 6.0 1.7 6.0 5.2 7.0 5.9 X 7.0 4.0 8.0 10.0 8.0 7.0 5.0 0 9.0 o 9.0 6.2 To it" 10.0 8. 1 Figure 1 10.0 3.6 Figure 2 W m n 1 1 _n 1.0 10.0 10 - X 1.0 2.6 10- 9 _ 9.0 X 2.0 4.2 9 _ 2.0 X 8 - X X 3.0 8.0 X 3.0 X X 4.0 7.0 X 4.0 4.9 6- X X 5 _ 5.0 6.0 5.0 4.4 X X 4 _ X 6.0 5.0 X X 6.0 7.0 3 - X 7.0 4.0 X 7.0 5.9 2 _ 3.0 X 8.0 w 8.0 8.0 9.0 2.0 3 3 6 7 8 9 10 11 9.0 7.1 0 12 3 4 5 6 8 10 It 10.0 1.0 Figure 3 10.0 7.9 Figure 4Answer the following questions. The same response may be the correct answer for more than one question. (a) In which data set is there evidence of a strong nonlinear relationship between the two variables? (Choose one) V (b) Which data set indicates a perfect positive linear relationship between its twoStep by Step Solution
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