Construct a scattergram for each data set. Then calculate r andr2 for each data set. Interpret their values. Complete parts athrough 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.

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 xand y.

C.x and y are not related.

D.There is a very strong positive linear relationship between xand y.  answer is correct.

Interpret r2.

97.09​% of the total sample variability around overbar y isexplained by the linear relationship between x and y.

​(Round to two decimal places as​ needed.)

Calculate r.

r=. 9853 ​(Round to four decimal places as​ needed.)

Calculate r2.

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 xand y.

C.x and y are not related.

D.There is a very strong positive linear relationship between xand y. Your answer is correct.

Interpret r2.

97.09% of the total sample variability around ove rbar y isexplained by the linear relationship between x and y. ​(Round totwo decimal places as​ needed.)

b.	x	−1	0	1	2	3
	y	5	4	2	1	−1

Calculate r.

requals=negative 0.9934−0.9934

​(Round to four decimal places as​ needed.)

Calculate

r squaredr2.

r squaredr2equals=. 9868.9868

​(Round to four decimal places as​ needed.)

Interpret r. Choose the correct answer below.

A.

There is a very strong negative linear relationship between xand y.

Your answer is correct.

B.

There is not enough information to answer this question.

C.

There is a very strong positive linear relationship between xand y.

D.

x and y are not related.

Interpret

r squaredr2.

98.6898.68​%

of the total sample variability around

y overbary

is explained

by the linear relationship between x and y.

​(Round to two decimal places as​ needed.)

c.	x	1	2	2	3	3	3	4
	y	2	1	3	1	2	3	2

Calculate r.

requals=negative 0.9934−0.9934

​(Round to four decimal places as​ needed.)

Calculate

r squaredr2.

r squaredr2equals=. 9868.9868

​(Round to four decimal places as​ needed.)

Interpret r. Choose the correct answer below.

A.There is a very strong negative linear relationship between xand y.  answer is correct.

B. There is not enough information to answer this question.

C There is a very strong positive linear relationship between xand y.

D.x and y are not related.

Interpret r2.

98.68% of the total sample variability around over bar y isexplained by the linear relationship between x and y.​(Round to twodecimal places as​ needed.)

c.	x	1	2	2	3	3	3	4
	y	2	1	3	1	2	3	2

Calculate r.

r=____________​(Round to four decimal places as​ needed.)