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 taken at rest were measured, in millimeters, for a sample of 15 adults. The following table presents the results. Systolic 134 115 113 123 119 118 130 116 133 112 107 110 105 157 154 Diastolic 87 83 77 77 69 88 76 70 91 75 71 74 66 103 94
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 taken at rest were measured, in millimeters, for a sample of 15 adults. The following table presents the results.
| Systolic | 134 | 115 | 113 | 123 | 119 | 118 | 130 | 116 | 133 | 112 | 107 | 110 | 105 | 157 | 154 |
| Diastolic | 87 | 83 | 77 | 77 | 69 | 88 | 76 | 70 | 91 | 75 | 71 | 74 | 66 | 103 |
94 |
Below is a
(a) Suppose we want to use systolic blood pressure to predict diastolic blood pressure. The explanatory variable is diaslostic blood pressure and the response variable is systolic blood pressure.
(b) Describe the form, direction, and strength of the relationship:
Form (Linear or Non-Linear) Linear
Direction (Positive or Negative) Positive
Strength (Weak or Moderate or Strong) Moderate
(c) Find the value of the
.847
(d) What percentage of the variation in diastolic blood pressure can be explained by systolic blood pressure?
71.8
(e) Find an equation of the least-squares regression line for systolic blood pressure and diastolic blood pressure.
y= 10.525 + .565x
(f) When I measured my blood pressure this morning, my systolic blood pressure was 121. Use the least-squares line to predict my diastolic blood pressure.
79
(g) When my systolic blood pressure measured 121, my diastolic blood pressure reading was actually 77. Does the model overestimate, underestimate or accurately predict my diastolic blood pressure?
Overestimate
(h) For what
From 105 to 157
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