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(a) Draw a scatter diagram of the data. Choose the correct graph below. A. 0 10 0 10 x y A scatter diagram has a

(a) Draw a scatter diagram of the data. Choose the correct graph below.

A. 0 10 0 10 x y A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 2); (6, 4); (6, 8); (7, 1); (9, 5).

B. 0 10 0 10 x y A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 8); (6, 2); (6, 6); (7, 9); (9, 5).

C. 0 10 0 10 x y A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 8); (6, 2); (6, 6); (7, 4); (9, 5).

D. 0 10 0 10 x y A scatter diagram has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical y-axis labeled from 0 to 10 in increments of 1. The following 5 points are plotted, listed here from left to right: (2, 2); (6, 4); (6, 8); (7, 6); (9, 5).


(b) Compute the correlation coefficient. The correlation coefficient is r = _______. (Round to three decimal places asneeded.)


(c) Determine whether there is a linear relation between x and y. Because the correlation coefficient _____ is __________  (negative, positive) and the absolute value of the correlationcoefficient, nothing, is _______▼( greater, not greater) than the critical value for this data set, _____ nothing,_________  (a positive, a negative, no) linear relation exists between x and y.(Round to three decimal places as needed.)








x

2

4

6

6

7


y

4

8

12

14

18

Critical Values for Correlation Coefficient

n


3

0.997

4

0.950

5

0.878

6

0.811

7

0.754

8

0.707

9

0.666

10

0.632

11

0.602

12

0.576

13

0.553

14

0.532

15

0.514

16

0.497

17

0.482

18

0.468

19

0.456

20

0.444

21

0.433

22

0.423

23

0.413

24

0.404

25

0.396

26

0.388

27

0.381

28

0.374

29

0.367

30

0.361

n


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