H15. Part 4/4

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 of mercury (mm Hg), for a sample of 10 adults. The following table presents the results. Use a TI-84 calculator to answer the following.

Systolic Diastolic Systolic Diastolic

118 88 107 71

130 76 110 74

116 70 108 69

133 91 105 66

112 75 157 103

Based on results published in the Journal of Human Hypertension

Part 1/4

Compute the least-squares regression line for predicting the diastolic pressure from the systolic pressure. Round the slope and y-intercept to at least four decimal places.

Regression line equation: y (hat) = 0.7 + 0.6488x

Part 2/4

Is it possible to interpret the y-intercept? Explain.

No, the x-values are all possitive.

Part 3/4

If the systolic pressures of two patients differ by 14 millimeters, by how much would you predict their diastolic pressures to differ? Round the answer to three decimal places.

Their diastolic pressures would differ by 9.083 millimeters.

Part 4/4

Predict the diastolic pressure for a patient whose systolic pressure is 142 millimeters. Round the answer to one decimal place.

The diastolic pressure is predicted to be millimeters.