A scatter diagram has a horizontal axis labeled “Explanatory” from 0 to 10 in increments of 1 and a vertical axis labeled “Response” from 0 to 400 plus in increments of 100. The following 12 approximate points are plotted, listed here from left to right: (0.6, 350); (1.2, 350); (2, 350); (3, 350); (4, 350); (6, 350); (7, 300); (7, 270); (8.2, 210); (8.2, 180); (9.8, 20); (9.8, 50). The first five points follow the general pattern of a horizontal line and the next 7 points follow the general pattern of a straight line that falls from left to right.
Do the two variables have a linear relationship?
A.
The data points do not have a linear relationship because they do not lie mainly in a straight line.
B.
The data points have a linear relationship because they do not lie mainly in a straight line.
C.
The data points have a linear relationship because they lie mainly in a straight line.
D.
The data points do not have a linear relationship because they lie mainly in a straight line
For the accompanying data set, (a) draw a scatter diagram of the data, (b) compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y.
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Click the icon to view the data set.
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Click the icon to view the critical values table.
(a) Draw a scatter diagram of the data. Choose the correct graph below.
A.
010010xy
A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (6, 4); (6, 8); (7, 2); (7, 6); (9, 5).
B.
010010xy
A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (6, 4); (6, 8); (7, 1); (7, 2); (9, 5).
C.
010010xy
A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (6, 2); (6, 6); (7, 8); (7, 9); (9, 5).
D.
010010xy
A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (6, 2); (6, 6); (7, 4); (7, 8); (9, 5).
x y Critical Values for Correlation Coefficient
n
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