Below are four bivariate data sets and the scatter plot for

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.

The answer for each question is either: data set X,Y, data set U,V, data set W,T, data set M,N. Question 1,2,4 also have none of these data sets.

1.0 2.9 2.0 4.39 3.0 3.28 4.0 5.36 5.04.75 6.0 7.1 7.0 6.32 8.0 7.7 9.0 7.1 10.0 8.0Figure 1 1.0 | 10.0 | | 2.0 9.09 3.0 8.0 4.0 7.06 5.0 6.0 5 6.0 5.03 7.04.0 2 8.0 3.0 9.0 2.0 10.0 1.0 Figure 2 10 45678910 11 45678910 11 1.0 7.6 2.0 5.69 3.0 | 10.1 4.0 6.56 5.0 2.0 5 6.0 5.23 7.09.12 8.0 3.6 9.0 9.3 10.0 6.4Figure 3 1.0 7.6 2.0 8.69 3.07.0 4.0 6.06 5.0 7.85 6.0 5.03 7.04.52 8.0 7.2 9.0 6.0 10.0 3.6 Figure 4 10 10 6 789 10 11 6 789 10 11 Answer the following questions. The same response may be the correct answer for more than one question 1. In which data set is there evidence of a strong nonlinear relationship between the two variables? the x, y data set 2. Which data set indicates a perfect positive linear relationship between its two variables? the u, v data set 3. Which data set indicates the strongest negative linear relationship between its two variables? the w, t data set 4. Which data set has an apparent positive, but not perfect, linear relationship between its two variables? the m, n data set

Solution

a) Strong-Non linear relationship would show all points lieing on a curve (not straight line). None of scatter plots show strong nonlinear relationship.

b) None! But UV shows perfect negative linear relationship.

c) UV shows perfect negative linear relationship.

d) XY shows positive linear relationship (not perfect because points slightly deviate from straight line pattern)