AFM: Chapter 4 Test. Name: ______

Suppose you have been given the job of testing the Carolina Panthers football team for steroids. The coach of the Panthers does not understand the difference between paired sample testing and individual testing. He has sent you the following list of questions on the matter.

1.  What is the difference between paired sample testing and individual testing?

2.  If you expect a high percentage of steroid use in a group would you be more inclined to paired sample test or test individually? Why?

3.  Describe to me a paired sampling scenario in which you would have to perform only two tests per pair to determine each player’s steroid status.

4.  How many tests per pair would you have to conduct if you were testing individually?

5.  What would be the minimum and maximum number of tests per pair you would have to perform when applying a paired sample strategy?

Minimum = ______Maximum = ______

6.  How do you know when you are saving money by paired sample testing as opposed to individual testing?

7.  Suppose there are 50 players on the Panthers football team which would result in 25 pairs. You paired sample test the entire team and end up performing 40 total tests. Did you save money by using paired sample testing? How do you know?

8.  What was the average number of tests per pair from the previous question #7?

Manny Ramirez throws a baseball from the outfield to home plate to get the final out in the ‘07 World Series. The height of the baseball versus the time it is in the air is described by the data below:

Time (seconds) / 1 / 1.5 / 2 / 2.5 / 3 / 3.5 / 4 / 4.5 / 5
Height (meters) / 1 / 5 / 10 / 12 / 15 / 13 / 7 / 3 / 0.5

9.  Make a scatter plot of the data on your calculator and sketch it below. Does the data appear to follow a linear pattern?

10. Find the equation of the regression line and write it below.

11. Now find the quadratic regression equation and write it below.

12. Sketch both the linear and quadratic regression graphs on your scatter plot above. Which graph better models the data?

13. Use your linear equation of best fit to predict the height of the ball after 2.9 seconds.

14. Now use your quadratic equation of best fit to predict the height of the ball after 2.9 seconds.

15. Which equation made a better prediction? Why?

16. Write the equation y = 2(x – 3)(x + 2) in standard form.

17. What are the x-intercepts of the quadratic equation in #16?

18. What is the vertex of y = (x + 3)2 – 6?

19. Find the vertex of y = 2x2 + 8x + 3 by graphing on your calculator.

20. What are the x-intercepts for y = 0.5x2 – 1.5x – 2?

21. Write the equation in vertex form that shifts the function y = x2 left by 5 units and up by 6.

22. Write the equation in vertex form that shifts the function y = x2 right by 3 units and up by 2.

23. Write y = 2x2 – 4x + 6 in vertex form: y = a(x – h)2 + k.

24. Write y = 4x2 – 12x – 16 in factor form: y = a(x – r1)(x – r2).

25. Write y = x2 + 5x + 6 in factored form.

26. What are the x-intercepts of the quadratic function in question #25?

27. Write y = x2 – 8x + 16 in factored form.

28. Write in vertex form y = x2 – 16x + 5

29. Write in vertex form y = 3x2 – 15x + 23

30. (BONUS QUESTION) Write in vertex form v: (3, -4) pt: ( 0, -6)