Consider the following table of data. Complete parts (a)
through (c) below.
1
2
3
4
다
y 2.00 2.00 2.00 2.40
a. Calculate the correlation coefficient.
r =
(Type an integer or decimal rounded to four decimal places as needed.)
b. Sketch a graph of the data. Choose the correct answer below.
OA
Ay
Q
0
Ов.
Oc.
OD.
Ay
5-
4-
32
Q
Q
Q
Q
Q
Q
2
c. Based on how closely the data fits a straight line, is the answer to part (a) surprising? Discuss the extent to which the correlation coefficient describes how well the data fit a horizontal line.
A. It is surprising. Given how closely the data fits a line, one would expect a correlation coefficient close to 0. The correlation coefficient is positive, leading one to expect decreasing line, not a
horizontal line.
B. It is surprising. Given how closely the data fits a line, one would expect a correlation coefficient close to 1 or 1. The correlation coefficient is positive, leading one to expect a
decreasing line, not a horizontal line.
C. It is not surprising. Given how closely the data fits a line, one would expect a correlation coefficient close to 0. The correlation coefficient is positive, leading one to expect an increasing line,
not a horizontal line.
D. It is not surprising. Given how closely the data fits a line, one would expect a correlation coefficient close to 1 or 1. The correlation coefficient is positive, leading one to expect an
increasing line, not a horizontal line.