1. A medical researcher wishes to determine how the dosage (in mg) of a drug affects the heart rate of the patient. DosageHeart rate 0.12595 0.290 0.2593 0.392 0.3588 0.480 0.582 1.Find the correlation coefficient & interpret it. 2.Find & interpret the slope. 3.Find & interpret the y-intercept. 4.Give the least squares regression line.

2. A medical researcher wishes to determine how the dosage (in mg) of a drug affects the heart rate of the patient. DosageHeart rate 0.12595 0.290 0.2593 0.392 0.3588 0.480 0.582

3. RESIDUALS Section 3.2B

4. Residuals

5. DosageHeart rate 0.12595 0.290 0.2593 0.392 0.3588 0.480 0.582 1.Find the predicted value for a dosage of 0.4 mg. 2.Find the residual for (0.4, 80).

6. DosageHeart rate 0.12595 0.290 0.2593 0.392 0.3588 0.480 0.582 * The sum of the residuals is always zero!

7. Residual Plot It is a scatterplot of the residuals vs the explanatory variable. They help us to assess how well a regression line fits the data. The residual plot should show no obvious pattern The residuals should be relatively small.

8. DosageHeart rate 0.1259595.47-0.47 0.29092.58-2.578 0.259390.652.35 0.39288.723.278 0.358886.791.206 0.48084.87-4.866 0.58281.010.99 * The sum of the residuals is always zero!

9. Residual Plot

10. Height vs Shoe size – residual plot Good residual plot – show relatively no pattern.

11. Good or Bad

12. Standard Deviation of the Residuals

13. DosageHeart rate 0.1259595.47-0.470.2209 0.29092.59-2.5786.6461 0.259390.652.355.5225 0.39288.723.27810.745 0.358886.791.2061.4544 0.48084.87-4.86623.678 0.58281.010.990.9801

14. Homework *Page 191 (43, 45, 55, 60, 62)