Question
**Predicting Blood Pressure Based on Age, Weight, and Sodium Intake** Cardiologists are studying the combined effects of age, weight, and daily sodium intake on systolic
**Predicting Blood Pressure Based on Age, Weight, and Sodium Intake** Cardiologists are studying the combined effects of age, weight, and daily sodium intake on systolic blood pressure (SBP) in adults. They collect data from a sample of 200 participants. After performing a multiple linear regression, the following results are obtained:
Dependent variable: Systolic Blood Pressure (SBP) Independent variables: Age (years), Weight (kg), and Sodium Intake (mg/day) Regression equation: \[ SBP = \beta_0 + \beta_1 \times Age + \beta_2 \times Weight + \beta_3 \times Sodium \] Where: - \( \beta_0 \) (Intercept) = 100 mmHg - \( \beta_1 \) (Coefficient for Age) = 0.5 mmHg/year - \( \beta_2 \) (Coefficient for Weight) = 0.3 mmHg/kg - \( \beta_3 \) (Coefficient for Sodium Intake) = 0.01 mmHg/mg
Questions:
1. Interpret the coefficients for Age, Weight, and Sodium Intake.
2. Predict the SBP for a 50-year-old individual who weighs 70 kg and consumes 3,000 mg of sodium daily.
3. If all other variables remain constant, by how much would the SBP increase if the daily sodium intake increases by 500 mg?
4. Holding age and weight constant, what is the expected change in SBP for a person who increases their sodium intake from 2,500 mg to 4,000 mg daily?
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