Question 512920: Below are four bivariate data sets.
1.
x y
1.00 4.2
2.0 6.1
3.0 6.8
4.0 4.2
5.0 4.9
6.0 8.3
7.0 5.5
8.0 6.9
9.0 8.4
10.0 7.9
2.
u v
1.00 7.7
2.0 4.9
3.0 10.2
4.0 6.1
5.0 2.2
6.0 5.0
7.0 9.1
8.0 3.7
9.0 9.5
10.0 6.6
3.
w t
1.00 8.1
2.0 7.4
3.0 8.0
4.0 6.1
5.0 6.8
6.0 4.4
7.0 5.1
8.0 4.1
9.0 4.4
10.0 3.1
4.
m n
1.00 10.0
2.0 9.0
3.0 8.0
4.0 7.0
5.0 6.0
6.0 5.0
7.0 4.0
8.0 3.0
9.0 2.0
10.0 1.0
1. For which data set is the sample correlation coefficient r closest to 0?
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 these data sets
2. Which data set indicates the strongest negative linear relationship between its two variables?
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 these data sets
3. Which data set is the sample correlation co efficient r equal to 1?
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 these data sets
4. Which data set has an apparent positive, but not perfect linear relationship between its two variables?
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 these data sets
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! Enter the data into your calculator or spreadsheet as four separate groups or pairs of lists. Do a linear regression on each, and compute the r-value. Then you can easily answer the four questions.
Remember that a correlation near 1 or -1 indicates a more linear relationship (i.e. points are closer to the regression line) in the positive or negative direction, while a correlation close to 0 indicates a more random distribution.
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