Question

Construct a scattergram for each data set. Then calculate r and r2 for 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.

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.

97.09​% 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.)

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 x and 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 x and y.

D.x and y are not related.

Interpret r2

.________% of the total sample variability around y overbar (is explained is not explained) by the linear relationship between x and y.

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

Answer 1

a)

D.There is a very strong positive linear relationship between x and y.

97.09​% of the total sample variability around y overbary is explained by the linear relationship between x and y.

b)

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

98.68% of the total sample variability around y overbar (is explained) by the linear relationship between x and y.

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