Construct a scattergram for each data set. Then calculate r and r2for each data set. Interpret their values. Complete parts a through d.
a. x−1,0,1,2,3
y−3,0,1,4,5
Calculate r.
r=.9853 (Round to four decimal places as needed.)Calculate
r2.=0.9709 (Round to four decimal places as needed.)
Interpret r. Choose the correct answer below.
A. There is not enough information to answer this question.
B. There is a very strong negative linear relationship between x and y.
C.x and y are not related.
D.There is a very strong positive linear relationship between x and y. Your answer is correct.
Interpret r2.
r2 97.09% of the total sample variability around y is explained by the linear relationship between x and y. (Round to two decimal places as needed.)
b. 
x 
negative 1−1 
00 
11 
22 
33 


y 
55 
44 
22 
11 
negative 1−1 
Calculate r.
r=−0.9934 (Round to four decimal places as needed.)Calculate
r2.=. 9868(Round to four decimal places as needed.)
Interpret r. Choose the correct answer below.
A. There is a very strong negative linear relationship between x and y.
B.There is not enough information to answer this question.
C.There is a very strong positive linear relationship between x and y.
D.x and y are not related.
1)
r=0.9853
r2.=0.9709
D.There is a very strong positive linear relationship between x and y
2)
r=−0.9934
r=−0.9934
r^{2} =0.9868
A. There is a very strong negative linear relationship between x and y.
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