80.2K

Verified Solution

Link Copied!

Construct a scattergram for each data set. Then calculate r andr 2 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. Your answer is correct.

Interpret

r2=97.09% of the total sample variability around y overbary isexplained by the linear relationship between x and y.

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

b.	x	−1	0	1	2	3
	y	5	4	2	1	−1

Calculate r.

r=−0.9934 ​(Round to four decimal places as​ needed.)

Calculate r2.

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 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 r2.

98.68​% of the total sample variability around y overbary isexplained 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.

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