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 (c) Find the value of the correlation coefficient between systolic blood pressure and diastolic blood pressure. (d) What percentage of the variation in diastolic blood pressure can be explained by systolic blood pressure? (e) Find an equation of the least-squares regression line for systolic blood pressure and diastolic 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 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 |
(c) Find the value of the
(d) What percentage of the variation in diastolic blood pressure can be explained by systolic blood pressure?
(e) Find an equation of the least-squares regression line for systolic blood pressure and diastolic blood pressure.
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