Question

Systolic / Diastolic 1:

133 / 91
112 / 75
107 / 71
110 / 74
108 / 69
105 / 66
157 / 103
154 / 94
134 / 87
115 / 83

y=8.2673+0.5914x

Predict the diastolic pressure for a patient whose systolic pressure is 133 millimeters. Round the answer to one decimal place.

Answer 1

To predict the diastolic pressure using the equation \( y = 8.2673 + 0.5914x \), where \( x \) is the systolic pressure, we can substitute \( x = 133 \) into the equation.

\[
y = 8.2673 + 0.5914(133)
\]

First, we calculate \( 0.5914 \times 133 \):

\[
0.5914 \times 133 = 78.6072
\]

Now, we can substitute this back into the equation:

\[
y = 8.2673 + 78.6072 = 86.8745
\]

Now, rounding to one decimal place, we find:

\[
y \approx 86.9
\]

Thus, the predicted diastolic pressure for a patient whose systolic pressure is 133 millimeters is **86.9 mmHg**.