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. Figure 1 x y 1.0 3.0 2.0 4.1 3.0 3.6 4.0 5.1 5.0 4.2 6.0 7.1 7.0 6.5 8.0 7.8 9.0 7.3 10.0 8.1 Figure 2 u v 1.0 7.0 2.0 9.0 3.0 6.9 4.0 5.3 5.0 8.0 6.0 5.0 7.0 4.4 8.0 6.8 9.0 6.1 10.0 4.0 Figure 3 w t 1.0 6.8 2.0 9.7 3.0 3.8 4.0 9.2 5.0 5.2 6.0 2.1 7.0 6.0 8.0 10.1 9.0 5.0 10.0 7.9 Figure 4 m n 1.0 1.0 2.0 2.0 3.0 3.0 4.0 4.0 5.0 5.0 6.0 6.0 7.0 7.0 8.0 8.0 9.0 9.0 10.0 10.0 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? Choose one 2. Which data set indicates a perfect positive linear relationship between its two variables? Choose one 3. Which data set has an apparent negative, but not perfect, linear relationship between its two variables? Choose one 4. Which data set indicates the strongest negative linear relationship between its two variables? Choose one
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Strong non-linear relationship between the two variables: This would be a data set where the points form a curve or some other non-linear pattern. Show more…
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