correlation and regression 5-10 please 5. Given that the linear correlation coef

Question

correlation and regression
5-10 please

5. Given that the linear correlation coefficient ris found to be 0.585, what is the proportion of the variation in diastolic blood pressure that is explained by the linear relationship between systolic and diastolic blood pressure? 6. True false: If there is no near correlation between systolic and diastolic blood pressur then those two variables are not related in any way 7. True or false: If the sample data lead us to the conclusion that there is sufficient evidence to support the claim of a linear correlation between systolic and diastolic blood pressure, then we could also conclude that systolic blood pressure causes diastolic blood pressure. 8. If each systolic reading is exactly twice the diastolic reading, what is the value of the linear correlation coefficient r? 9)If you had computed the value the linear correlation coefficient to be 3.335, what should you con- 41 clude? 10. If the sample data were to result in the shown here, what the value of the linear correlation coefficient r?

Explanation / Answer

5. R-square = 0.585^2 = 0.34223 = 34.22% of the variation in diastolic blood pressure that is explained by the linear relationshp between systolic and diastolic blood pressure
6. True
7. From scatter plot, n = 5
and rxy = 0.34223 r critical value = 0.878 at n-2 = 5-2 = 3 df and 5% los
Here rxy < r-critical value, So we reject null hypothesis.
thus we conclude that there is no sufficient evendice to support the claim of a linear correlation between systolic and diastolic blood pressure
8. rxy = +1
9. The given data is not correct since rxy value is lies between [-1,+1]
10. The value of linear correlation coefficient r is -1

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