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.

Each question is either the X,Y Data Set, U,V Data Set, W,T Data Set, or the M,N Data Set. Question 1 & 4 also have none of the above data sets as an answer.

1.0 8.3 2.0 4.99 3.0 | 10.4 | 8 . 4.0 6.16 5.0 2.25 6.0 4.93 7.0 8.82 8.0 4.0 9.0 9.2 10.0 6.7 Figure 1 1.0 1.01 2.0 2.09 3.0 3.0 4.0 4.06 5.0 5.05 6.0 6.03 7.0 7.02 8.0 8.0 9.0 9.0 10.0 10.0 Figure 2 10 10 6 789 10 11 6 789 10 11 1.0 7.4 2.0 8.89 3.0 7.48 4.0 5.46 5.0 8.25 6.0 4.93 7.0 4.12 8.0 6.6 9.0 5.7 10.0 4.2 Figure 3 1.0 3.2 2.0 4.09 3.0 3.3 4.0 4.66 5.0 4.15 6.0 | 7.2 | . 7.0 5.82 8.0 7.17 9.0 7.0 10.0 8.4 Figure 4 10 10 6 789 10 11 6 789 10 11 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 1. Which data set has an apparent positive, but not perfect, linear relationship between its two variables? Choose one 2. For which data set is the sample correlation coefficientr closest to 0? Choose one 3. Which data set indicates the strongest positive linear relationship between its two variables? Choose one 4. For which data set is the sample correlation coefficient r equal to 1? Choose one

Solution

1. Figure 4, as with increase in m, value of n is increasing, but it is not perfect as if we draw a straight line all the points wont fall on it. So it is positive but not perfect.

2.Figure 1, as the data is most random.

3. Figure 2, as all the point will fit on a line.

4. Figure 2, as all the point will fit on a line.