High School

10. 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).

Answer :

The systolic blood pressure of a person who is 35 years old and has a cholesterol level of 194 milligrams per deciliter (mg/dl) and a sodium blood level of 142 milliequivalents per liter (mEq/l) is 159.8 mmHg.

To predict the systolic blood pressure of a person who is 35 years old and has a cholesterol level of 194 milligrams per deciliter (mg/dl) and a sodium blood level of 142 milliequivalents per liter (mEq/l), we need to substitute the given values into the regression equation.The regression equation is y′=97.7+0.691x1+219x2−299x3y′=97.7+0.691x1+219x2−299x3

Substituting the values for x1, x2, and x3, we get:y′=97.7+0.691(35)+219(194)−299(142)y′=159.8 mmHg

Therefore, the systolic blood pressure of a person who is 35 years old and has a cholesterol level of 194 milligrams per deciliter (mg/dl) and a sodium blood level of 142 milliequivalents per liter (mEq/l) is 159.8 mmHg.

More on systolic blood pressure is here: https://brainly.com/question/28492028

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