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Patient 22 is 
 years old and has a systolic blood pressure of 
 mm Hg. What is the residual?mm HgThe systolic blood pressure dataset (in the third sheet of the spreadsheet linked above) contains the systolic blood pressure and age of 30 randomly selected patients in a medical facility.What is the equation for the least square regression line where the independent or predictor variable is age and the dependent or response variable is systolic blood pressure?
Is the actual value above, below, or on the line?What is the interpretation of the residual?
Ex: 1.234
Ex: 1.234
Ex: 1.234

Pick


The equation of the least squares regression line is:

\[
\hat{y} = 0.908x + 100.28
\]

Where:
- \(x\) is the age of the individual.
- \(y\) is the predicted systolic blood pressure.

For individual 22, who is 50 years old:
- The predicted systolic blood pressure is approximately **145.66 mm Hg**.
- The actual systolic blood pressure is **142 mm Hg**.

The residual for individual 22 is:

\[
\text{Residual} = \text{Actual value} - \text{Predicted value} = 142 - 145.66 = -3.66 \, \text{mm Hg}
\]

### Interpretation:
- The actual systolic blood pressure is **below** the predicted value by about 3.66 mm Hg.
- The residual tells us that individual 22's systolic blood pressure is slightly lower than expected based on their age.

Would you like more details or explanations? Here are some related questions for practice:

1. How do we interpret the slope of the regression line in this context?
2. What would the predicted blood pressure be for someone aged 60?
3. Can you calculate the residual for another individual, say individual 10?
4. What does a positive residual indicate in this context?
5. How can we assess the accuracy of the regression model?

**Tip:** Residuals can tell us how well the regression model fits individual data points — the closer to zero, the better the fit for that individual.

Patient 22 is 50 years old and has a systolic blood pressure of 142 mm Hg. What is the residual? The systolic blood pressure dataset contains the systolic blood pressure and age of 30 randomly selected patients in a medical facility. What is the equation for the least square regression line where the independent or predictor variable is age and the dependent or response variable is systolic blood pressure? Is the actual value above, below, or on the line? What is the interpretation of the residual?

Learn how to calculate the least squares regression line with age as the predictor and systolic blood pressure as the response. Discover the residual calculation for a 50-year-old patient with systolic blood pressure of 142 mm Hg and interpret the results.

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