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

Explanation / Answer

1.figure 2.

2.figure2.

3.figure3.

4.figure1.

For positive or negative correlation , note the slope of the line.

If their is no fixed direction in data, correlation is 0.

In fig2 all data points lie on a straight line which has negative slope. So correlation is -1 which implies strongest negative linear relationship.

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