The following exercises are based on the following sample data consisting of systolic blood pressure measurements (in mm Hg) obtained from the same woman (based on data from “Consistency of Blood Pressure Differences Between the Left and Right Arms,” by Eguchi et al., Archives of Internal Medicine, Vol. 167).Right Arm 102 101 94 79 79 Left Arm 175 169 182 146 144Conclusion The linear correlation coefficient r is found to be 0.867, the P-value is 0.057, and the critical values for a 0.05 significance level are {0.878. If you are using a 0.05 significance level, what should you conclude?Explained Variation Given that the linear correlation coefficient r is found to be 0.867, what is the proportion of the variation in left arm measurements that is explained by the relationship between the right and left arm measurements?Interpreting Scatterplot If the sample data were to result in the scatterplot shown here, what is the value of the linear correlation coefficient r?

From the above question. We are given that the The linear correlation coefficient r is found to be 0.867, the P-value is 0.057, and the critical values for a 0.05 significance level are {0.878. If you are using a 0.05 significance Interpretation Here P value is grater than the level of significance So we fail to reject the null hypothesis And our in general null hypothesis is there is no relationship between right arm and left arm So here can conclude that there is not sufficient evidence to conclude that the left and right a are linearly correlated at 5% level of significance Or simply we can conclude that there is no any linaer relationship between left arm and right arm at 5% level of significance Explained Variation Given that the linear correlation coefficient r is found to be 0.867, what is the proportion of the variation in left arm measurements that is explained by the relationship between the right and left arm measurements Proportion of variations =R2 =(0.867) 2 =0.752 It means that 75.2% proportion of variation in left arm is explained by the right armInterpreting Scatterplot If the sample data were to result in the scatterplot shown here, what is the value of the linear correlation coefficient r? The scatter plot of above data is Here we can conclude that there is positive relationship between the right arm and left are and the correlation coefficient is 0.867 There is strong positive linear relationship between the right arm and left arm

Answered: r is found to be 0.867, the P-value is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following exercises are based on the following sample data consisting of systolic blood pressure measurements (in mm Hg) obtained from the same woman (based on data from “Consistency of Blood Pressure Differences Between the Left and Right Arms,” by Eguchi et al., Archives of Internal Medicine, Vol. 167).

Right Arm 102 101 94 79 79

Left Arm 175 169 182 146 144

Conclusion The linear correlation coefficient r is found to be 0.867, the P-value is 0.057, and the critical values for a 0.05 significance level are {0.878. If you are using a 0.05 significance level, what should you conclude?
Explained Variation Given that the linear correlation coefficient r is found to be 0.867, what is the proportion of the variation in left arm measurements that is explained by the relationship between the right and left arm measurements?
Interpreting Scatterplot If the sample data were to result in the scatterplot shown here, what is the value of the linear correlation coefficient r?

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