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 two