The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the systolic reading be the independent (x) variable. If one of these people has a systolic blood pressure of 113 mm Hg, what is the best predicted diastolic blood pressure?

Systolic| 150 129 142 112 134 122 126 120Diastolic| 88 96 106 80 98 63 95 64

The predicted diastolic blood pressure of people with 113 mm Hg systolic blood pressure is 74 mm Hg.

Step-by-step explanation:

The general form of a regression equation is:

Here,

y = dependent variable

x = independent variable

α = intercept

β = slope

The formula to compute the slope and intercept are:

The value of as compute in the table attached below.

Compute the value of α and β as follows:

Thus, the regression equation of diastolic blood pressure based on systolic blood pressure is:

Compute the value of y for x = 113 as follows:

Thus, the predicted diastolic blood pressure of people with 113 mm Hg systolic blood pressure is 74 mm Hg.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

step-by-step explanation: