Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each data set is made up of sample values drawn from a population. X y 1.0 10.0 10+ X 2.0 9.0 9+ 8+ 3.0 8.0 7+ 4.0 7.0 6+ 5 5.0 6.0 4 6.0 5.0 3 7.0 4.0 2 8.0 3.0 9.0 2.0 10.0 1.0 Figure 1 W 11- 1.0 7.5 10+ 9 2.0 4.7 3.0 2.9 +6 7 6 5 4 6.0 1.5 3+ 7.0 1.8 2 1 8.0 3.5 9.0 4.9 10.0 8.2 Figure 3 4.0 LTE 5.0 1.7 1.6 isä 0 1 0 X X 1 2 3 X 3 4 4 5 xxx 5 6 0 7 7 8 8 9 10 11 W 9 10 11 u V 1.0 7.5 10+ 2.0 8.9 3.0 6.7 4.0 5.6 5.0 7.7 6.0 5.2 7.0 4.3 8.0 6.9 9.0 6.0 10.0 4.3 Figure 2 m n 1.0 3.0 2.0 4.5 3.0 3.6 4.0 5.1 8+ 7+ 6 0 11 10- 9 7+ 6+ 5 5.0 4.5 6.0 7.1 7.0 6.2 8.0 7.8 9.0 7.2 10.0 7.8 Figure 4 4 2 X 0 X X X X 3 4 5 + 2 3 5 6 6 7 8 7 9 X + + 8 9 U 10 11 x 10 11 D UI
TWELVE
Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same
scale.) Each data set is made up of sample values drawn from a population.
Answer the following questions. The same response may be the correct answer for more than one question.
(a) Which data set indicates the strongest positive linear relationship between its
two variables? (Choose one)
A: the x, y data set. B: the U, V data set. C. the W, T data set. D. the M, N data set.
(b) In which data set is there evidence of a strong nonlinear relationship between
the two variables? (Choose one)
A: the x, y data set. B: the U, V data set. C. the W, T data set. D. the M, N data set. E. None of the data sets
(c) Which data set indicates a perfect negative linear relationship between its two
variables? (Choose one)
A: the x, y data set. B: the U, V data set. C. the W, T data set. D. the M, N data set. E. None of the data sets
(d) Which data set has an apparent positive, but not perfect, linear relationship
between its two variables? (Choose one)
A: the x, y data set. B: the U, V data set. C. the W, T data set. D. the M, N data set. E. None of the data sets
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