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.
x
1.0
2.0
3.0
4.0
5.0
6.0
7.0
8.0
9.0
10.0
y
7.9
4.9
9.9
6.1
2.4
5.3
9.0
3.6
9.4
6.7
u
1.0
2.0
3.0
4.0
5.0
6.0
7.0
8.0
9.0
10.0
v
4.0
5.9
7.1
4.4
4.9
7.6
5.5
6.9
9.2
7.4
w
1.0
2.0
3.0
4.0
5.0
6.0
7.0
8.0
9.0
10.0
t
2.7
4.4
3.3
4.7
4.7
7.2
5.9
7.7
7.2
8.1
m
1.0
2.0
3.0
4.0
5.0
6.0
7.0
8.0
9.0
10.0
n
8.0
6.9
7.5
6.0
7.1
4.4
4.7
3.4
4.4
3.1
Answer the following questions about the relationships between pairs of variables and the values ofr, the sample correlation coefficient. The same response may be the correct answer for more than one question.
For which data set is the sample correlation coefficientrclosest to -1?
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 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
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 coefficientrequal to 1?
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