Use the given data set to complete parts​ (a) through​ (c) below.​ (Use alphaαequals=​0.05.)

x y

10 9.14

8 8.13

13 8.75

9 8.76

11 9.26

14 8.09

6 6.14

4 3.09

12 9.13

7 7.26

5 4.73

Critical Values for the Correlation Coefficient

n alpha = .05 alpha = .01

4 0.95 0.99

5 0.878 0.959

6 0.811 0.917

7 0.754 0.875

8 0.707 0.834

9 0.666 0.798

10 0.632 0.765

11 0.602 0.735

12 0.576 0.708

13 0.553 0.684

14 0.532 0.661

15 0.514 0.641

16 0.497 0.623

17 0.482 0.606

18 0.468 0.59

19 0.456 0.575

20 0.444 0.561

25 0.396 0.505

30 0.361 0.463

35 0.335 0.43

40 0.312 0.402

45 0.294 0.378

50 0.279 0.361

60 0.254 0.33

70 0.236 0.305

80 0.22 0.286

90 0.207 0.269

100 0.196 0.256

Note: To test H subscript 0: rho equals 0 against H subscript 1: rho not equal to 0, reject H subscript 0 if the absolute value of r is greater than the critical value in the table.

b. Find the linear correlation​ coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.

The linear correlation coefficient is requals=enter your response here. 

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