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?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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  1. 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

  1. 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?
  2. 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?
  3. 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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