Below are four bivariate data sets and the scatter plot for each. (Note that eac

Question

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. 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. For which data set is the sample correlation coefficient r equal to -1? 2. Which data set has an apparent negative, but not perfect, linear relationship between its two variables? 3. For which data set is the sample correlation coefficient r closest to Choose one 0? 4. Which data set indicates the strongest negative linear relationship Choose one between its two variables?

Explanation / Answer

1) figure 2 represent data set with r=-1

2)figure 1 represent appearent -ve behaviour

3)figure 4 has correlation approximately 0

4)figure 2 represent strong negative correlation

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