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Use the given data set to complete parts (a) through (c) below. (Use = 0.05.) X y 10 9.15 8 8.15 13 8.73 Click
Use the given data set to complete parts (a) through (c) below. (Use = 0.05.) X y 10 9.15 8 8.15 13 8.73 Click here to view a table of critical values for the correlation coefficient. 9 11 8.76 9.27 14 8.09 6 4 6.13 3.11 12 9.14 7 7.27 5 4.74 Table of Critical Values a. Construct a scatterplot. Choose the correct graph below. n a = .05 a = .01 4 .950 .990 B 10+ AY 8- Q 6- 4 C 2- 0- 0 4 8 12 16 Ay 10+ 8- 6- 4- 2 0- 8 12 16 C. Ay 10- 8- 6- 4- 2- 0- 0 8 12 16 5 .878 .959 6 .811 .917 7 .754 .875 8 .707 .834 9 .666 .798 10 .632 .765 11 .602 .735 12 .576 .708 13 .553 .684 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. 14 .532 .661 15 .514 .641 The linear correlation coefficient is r = . 16 .497 .623 (Round to three decimal places as needed.) 17 .482 .606 18 .468 .590 19 .456 .575 20 .444 .561 25 .396 .505 30 .361 .463 35 .335 .430 40 .312 .402 45 .294 .378 50 .279 .361 60 .254 .330 70 .236 .305 80 220 286
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