Question

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.

Answer 1

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

r² =0.9868

A. There is a very strong negative linear relationship between x and y.