2. Blood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters, for a sample of 16 adults. The following table presents the results. Systolic Diastolic Systolic Diastolic 134 87 133 91 115 83 112 75 113 77 107 71 123 77 110 74 119 69 108 69 118 88 105 66 130 76 157 103 116 70 154 94 Based on results published in the Journal of Hypertension 26:199–209 a. Compute the least-squares regression line for predicting diastolic pressure (y) from systolic pressure (x). b. Construct a 99% confidence interval for the slope. c. Test H0: β1 = 0 versus H1: β1 > 0. Can you conclude that systolic blood pressure is useful in predicting diastolic blood pressure? Use the α = 0.01 level of significance. d. Do people with higher diastolic pressure tend to have higher or lower systolic pressures? Explain.
2. Blood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters, for a sample of 16 adults. The following table presents the results.
|
Systolic |
Diastolic |
Systolic |
Diastolic |
|---|---|---|---|
|
134 |
87 |
133 |
91 |
|
115 |
83 |
112 |
75 |
|
113 |
77 |
107 |
71 |
|
123 |
77 |
110 |
74 |
|
119 |
69 |
108 |
69 |
|
118 |
88 |
105 |
66 |
|
130 |
76 |
157 |
103 |
|
116 |
70 |
154 |
94 |
|
a. |
Compute the least-squares regression line for predicting diastolic pressure (y) from systolic pressure (x). |
|
b. |
Construct a 99% confidence interval for the slope. |
|
c. |
Test H0: β1 = 0 versus H1: β1 > 0. Can you conclude that systolic blood pressure is useful in predicting diastolic blood pressure? Use the α = 0.01 level of significance. |
|
d. |
Do people with higher diastolic pressure tend to have higher or lower systolic pressures? Explain. |
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