The number of alcohol drinks consumed and the corresponding blood alcohol concentrations are listed for various subjects with the same body weight below. 1. What is the explanatory variable?...

AP Stats



The number of alcohol drinks consumed and the corresponding blood alcohol concentrations are listed for various subjects with the same body weight below. 1. What is the explanatory variable? ___________________________ 2. What is the response variable? ___________________________ 3. Generate the least-square regression line for this data. (Write LSRL in context of the problem) ___________________________ 4. Interpret the slope. 5. Find the value for r. ___________________ 6. Interpret r. 7. Find the value for r2. ___________________ 8. Interpret r2. 9. What is the predicted BAC for a person of this weight when they drink 8 drinks? Show your work. #Drinks 1 2 2 3 4 4 5 6 6 8 BAC 0.04 0.05 0.07 0.09 0.10 0.12 0.14 0.17 0.18 0.24 Correlation and Regression Test Name: Period: Dave believes that a son’s height is closely related to their father’s height. Dave randomly selects 10 OHS boys and records the heights of the boys and their fathers. 10. Determine the least-squares regression line. _______________________________________ 11. What is the correlation coefficient? ___________________ 12. What is the estimated height of a son whose father is 70 inches tall? Show your work. 13. What percent of the variation in son’s height can be explained by the father’s height? ___________________ 14. Calculate the residual for a son who is 69 inches tall and has a father who is 71 inches tall. Show your work. ___________________ 15. The mean height of female students at OHS is 65.6 inches and a standard deviation of 2.1 inches. The mean height of male students at OHS is 69.1 inches with a standard deviation of 2.3 inches. The correlation between the heights of students dating is 0.78. Find the equation of the least-squares regression line for predicting a female’s height from her boyfriend’s height. Show your work. . Predictor Coef SE Coef T P Constant 12.023 3.232 3.72 0.006 Dad Ht (in inches) 0.84238 0.04658 18.08 0.000 S=2.124 r-sq= .887