Question

Testing for a Linear Correlation. In Exercises 13-28, construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r from Table A-5 using a0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-3 exercises.) 15. Blood Pressure Measurements Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman (based on data from "Consistency of Blood Pres- sure Differences Between the Left and Right Arms," by Eguchi, et al., Archives of Internal Med icine, Vol. 167). Is there sufficient evidence to conclude that there is a linear correlation between right and left arm systolic blood pressure measurements? Right Arm Left Arm 102 101 94 79 79 175 169 182 146 144

Answer 1

17850 17069 17108 11534 11376 10404 30625 10201 8836 6241 6241 175 169 182 146 144 816 102 101 94 79 79 455 28561 33124 21316 20736 41923 134362 74937 455 816 41923 134362 7493'7 2x2 Џу

41923- 455)2 134362. (816)2 74937-93 616 518 - 1190.8 681 Ix)(2y) Correlation coefficient r 681 V518 1190.8 0.86708

Test hypothesis Ho: There is correlation between the variables H.: There is no correlation between the variables -Trwa_ Critical (Two tailed) TINV (0.05,5) (TINV(0.05,5)2 +5 -0.75449 -0.7545 Sincerr critical hence the relation ship is significant Hence reject the null hypothesis hence there is sufficient evidence to conclude that there is significant porrelation between the variables