Interpret the Slope of the Regression Line - Mathematics Assignment Help

Assignment Task:

Task:

Use the following information to answer questions 1-6 (2 points for each part) A sample of small cars was selected to attempt to use the horsepower (hp) of the car to predict the fuel efficiency (mpg). A researcher fitted a linear regression model. ????? = ????????. ???? − ????. ???????????????? ???? ???? = ????????%

1. Interpret the slope of the regression line.\ 2. If a particular car has a horsepower of 150hp and a fuel efficiency of 25mpg, what is the residual for this car?

3. Calculate the correlation coefficient.

4. How would you interpret the correlation coefficient found in (3)?

5. If a car with 120 horsepower has residual of 3.27, what was the actual fuel efficiency of the car?

6. The study also investigated the relationship between car weight and fuel efficiency and obtained the following information: ???????????????? ???????????????????????????????????????? = ????????. ???????? − ????. ????????????(????????????????????????) ???? ???? = ????????. ????% Which is the better predictor of fuel efficiency, horsepower or weight? Explain your choice using STATISTICS from the two regression lines for credit! Intro Stats – K. Spoon Use the following information to answer questions 7-12 Varying dosages of aspirin were administered to 15 subjects. Thirty minutes after the administration of aspirin, a blood sample was drawn and the time to coagulation of the blood was measured. A least-squares regression line was fit to the data, resulting the following linear model and R-squared value: time to coagulation = 3 + 0.14(aspirin) R-squared = 85%

7. What is the explanatory variable?

8. What is the response variable?

9. Patient 6 was given 43 mg of aspirin and had a coagulation time of 5.5 minutes. What is the predicted time to coagulation for patient 6?

10. Patient 7 was given 51 mg of aspirin and had a coagulation time of 8.7 minutes. Calculate the residual for patient 7.

11. A new subject was given a dosage of 109 mg of aspirin. If the residual for this patient was -2.3, what was the actual time to coagulation for this patient?

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