Use the given data set to complete parts (a) through (c) below. (Use α = 0.05.) X 10 8 9 11 13 12.74 12 8.15 y 7.47 6.77 7.11 7.81 Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. A. B. D. Ay 16- 16- 12- 12- 8- 8- 4- 4- X 0- 0 4 8 12 16 4 8 12 16 4 12 16 4 8 12 16 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 r= 0. (Round to three decimal places as needed.) Ay 16+ 12- 8- 4 0- co. y -+ -00 Q 14 8.84 Ay 16- 12- 8- 4- to co- 8 6 6.08 ● X Q 4 5.39 7 6.42 N 57 5.74
n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 v=.05 .950 .878 .811 .754 .707 .666 .632 .602 .576 .553 .532 .514 .497 .482 .468 .456 .444 .396 .361 v = .01 .990 .959 .917 .875 .834 .798 .765 .735 .708 .684 .661 .641 .623 .606 .590 .575 .561 .505 .463
35 .335 .430 40 .312 .402 45 .294 .378 50 .279 .361 60 .254 .330 70 .236 .305 80 .220 .286 90 .207 .269 100 .196 .256 NOTE: To test Ho: p = 0 against H₁: p = 0, reject Ho if the absolute value of r is greater than the critical value in the table.
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