1) The sample study below shows the number of miles you can run and the effect it has on reducing your blood pressure level. = 0.05 (5%)
Miles Run | Blood Pressure Level |
2.5 | 80 |
3 | 78 |
3.5 | 74 |
4 | 66 |
4.5 | 64 |
5 | 62 |
5.5 | 60 |
1)
A. Derive the equation for least square regression line.
B. If you ran zero/no mile what would be your blood pressure?
C.If you ran 6 miles what would be your blood pressure?
D. To have a blood pressure of zero how many miles do you need to run?
E. To have a blood pressure of 100 how many miles do you need to run?
F. Find and explain the value for the coefficient of correlation (‘r) in the context of the question.
G. Find and explain the value for the coefficient of determination (‘r2) in the context of the question.
2) Use the hypothesis t Test for the slope to determine if there is a linear relationship between miles run and your blood pressure level. = 0.05 (5%)
3) Construct a 95% confidence interval estimate for the slope based on miles run and blood pressure level. Fully interpret results in the context of the question. = 0.05
4) Use hypothesis testing; conduct the t test for correlation coefficient to determine if there is significant correlation between miles run and blood pressure level. = 0.05
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