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.

1. Which data set indicates the strongest positive linear relationship between its two variables?

Choose one the x, y data set the u, v data set the w, t data set the m, n data set

2. For which data set is the sample correlation coefficient r equal to -1?

Choose one the x, y data set the u, v data set the w, t data set the m, n data set none of the data sets

3. For which data set is the sample correlation coefficient rclosest to 0?

Choose one the x, y data set the u, v data set the w, t data set the m, n data set

4. Which data set has an apparent negative, but not perfect, linear relationship between its two variables?

Choose one the x, y data set the u, v data set the w, t data sett he m, n data set none of the data sets

1. Which data set indicates the strongest positive linear relationship between its two variables?

Choose one the x, y data set the u, v data set the w, t data set the m, n data set

2. For which data set is the sample correlation coefficient r equal to -1?

Choose one the x, y data set the u, v data set the w, t data set the m, n data set none of the data sets

3. For which data set is the sample correlation coefficient rclosest to 0?

Choose one the x, y data set the u, v data set the w, t data set the m, n data set

4. Which data set has an apparent negative, but not perfect, linear relationship between its two variables?

Choose one the x, y data set the u, v data set the w, t data sett he m, n data set none of the data sets

1.0 7.611 2.0 9.19 3.0 7.18 4.0 5.76 5.0 8.0 5 6.0 5.33 7.0 4.2 8.0 7.2 9.0 6.2 10.0 3.7 Figure 1 1.0 6.4 2.0 9.69 3.0 4.2 4.0 8.96 5.0 5.0 5 6.01.73 7.05.72 8.0 10.2 9.0 4.8 10.0 8.1 Figure 2 10 10 10 11 10 11 1.0 10.0 11 2.0 9.0 9 3.0 8.0 8 4.0 7.06 5.0 6.0 5 6.05.03 7.04.0 2 8.0 3.0 9.0 2.0 10.0 1.0 Figure 3 1.0 2.911 2.0 4.69 3.0 4.18 4.0 4.8 6 5.04.55 6.0 6.8 3 7.0 5.9 2 8.08.0 9.0 7.1 10.0 8.2 Figure 4 10 4 5 6 78910 11 4 5 6 78910 11

Explanation / Answer

1. Which data set indicates the strongest positive linear relationship between its two variables?

Answer : the u,v data set.

For a positive linear relationship the slope must be positive and for this relationship to be strong, most of the points should be close to a single line.

2. For which data set is the sample correlation coefficient r equal to -1?

Answer : the w,t data set

For a relationship to have a sample correlation coefficient of -1, the slope of the relationship should be negative and all points must fall on a single line.

3. For which data set is the sample correlation coefficient rclosest to 0?

Answer : the u, v data set

The data set having sample correlation coefficient 0 will have points in random without any order.

4. Which data set has an apparent negative, but not perfect, linear relationship between its two variables?

Answer : the x, y data set

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