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
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.
xy1.08.12.05.03.010.04.06.25.02.36.05.07.09.48.03.89.09.410.06.8
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11
x
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0
Figure1uv1.01.02.02.03.03.04.04.05.05.06.06.07.07.08.08.09.09.010.010.0
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0
Figure2wt1.07.82.08.63.06.94.05.85.08.56.05.07.04.28.07.19.05.510.03.8
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Figure3mn1.03.52.04.13.03.24.05.15.04.06.06.97.06.18.07.89.06.810.07.9
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m
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Figure4
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 coefficientrequal 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
2. 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 set
the m,n data set
none of the data sets
3. 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
4. For which data set is the sample correlation coefficientrclosest to 0?Choose one
the x,y data set
the u,v data set
the w,t data set
the m,n data set
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