High School

Age, Cholesterol, and Sodium

A medical researcher found a significant relationship among a person's age \((x_1)\), cholesterol level \((x_2)\), sodium level of the blood \((x_3)\), and systolic blood pressure \((y)\). The regression equation is:

\[
y' = 97.7 + 0.691x_1 + 219x_2 - 299x_3
\]

Predict the systolic blood pressure of a person who is 35 years old, has a cholesterol level of 194 milligrams per deciliter (mg/dl), and a sodium blood level of 142 milliequivalents per liter (mEq/l).

Select the best answer:

A. \(y' = 150\)

B. \(y' = 160\)

C. \(y' = 170\)

D. \(y' = 180\)

Answer :

The predicted systolic blood pressure (y') of a person who is 35 years old, has a cholesterol level of 194 mg/dl, and a sodium blood level of 142 mEq/l is y' = 160.1. Therefore, the best answer is B. y' = 160.

To predict the systolic blood pressure, we can substitute the given values into the regression equation:

y' = 97.7 + 0.691x1 + 219x2 - 299x3,

where x1 represents age, x2 represents cholesterol level, and x3 represents sodium level.

Plugging in x1 = 35, x2 = 194, and x3 = 142 into the equation, we have:

y' = 97.7 + 0.691(35) + 219(194) - 299(142)

= 160.1.

Thus, the predicted systolic blood pressure for a person with these characteristics is approximately 160 mmHg.

It's important to note that this prediction is based on the given regression equation and assumes that the relationship between age, cholesterol level, sodium level, and systolic blood pressure is accurately captured by the equation. However, individual variations and other factors not included in the equation may affect the actual systolic blood pressure of a person.

Learn more about systolic blood pressure here:

https://brainly.com/question/15205142

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