2. Mid Term Exam Review Part 2

3. If you could predict the future, what would you do?

4. Hurricane Katrina

6. Scatter Plots (used to display a trend)

7. An effective way to hunt for patterns or trends is to display the data as a scatter plot.

8. The difference between independent and dependent will be determined by insight. Typically, the IV comes first Ex pay vs hours worked Pay: DV and Hours: IV

11. Outlier

12. An outlier is a point separated from the main body of the data.

13. Todays Lab…..

14. Distance Vs Height Distance (m) Ramp Height (cm) (dependent) (independent) 10 20 30 40 50 60 70 80 90 100 43214321

15. Direct Variation

16. Consider working at McDonald’s You get paid $8.00 per hour

17. Hours 1 Pay ($) 8 216 3 24 1080 X 8 In Direct Variation, one variable equals a fixed multiple of the other.

18. Hours 1 Pay ($) 8 216 3 24 1080 X 8 This multiple is called the constant of variation (k)

19. Hours 1 Pay ($) 8 216 3 24 1080 X 8 The formula: P =8h

20. Pay vs Hours P H 123 4 5 6 8 16 24 32 40 48 0 0

21. How much would you get paid for 3.5 hours? P = 8 X 3.5 = 28

22. P H 123 4 5 6 8 16 24 32 40 48 0 0 3.5 28

23. How much would you get paid for 7 hours? P = 8 X 7 = 56

24. P H 123 4 5 6 8 16 24 32 40 48 0 0 7 56

25. Partial Variation

26. Consider working at East Side Mario’s You get paid $8.00 per hour. You also get paid a $20.00 shift gratuity.

27. Hours 1 Pay ($) 8 216 + 20 = 36 3 24 + 20 = 44 1080 + 20 = 100 X 8 + 20 = 28 In Partial Variation, one variable equals a fixed multiple of the other, plus a constant value.

28. Written as an equation P = 8h + 20 Variable part Fixed part

29. Pay vs Hours P H 123 4 5 6 10 20 30 40 50 60 0 0

30. What if we draw 2 lines on the same graph? We create what is called a linear system.

31. P H 123 4 5 6 8 16 24 32 40 48 0 0

32. Engineers have created a mathematical measure for the steepness of a line Slope: The measure of a line’s steepness

33. Distance Time Steepness?Direction?Straight?

34. Rise Run Slope = Rise Run

35. Step Count Technique Count the number of steps going from left to right.

36. 5 2 m = 5 2

37. 2 4 2 4 1 2

38. -5 2 m = -5 2

39. First Differences Be sure to copy down all the text in black. All the colored text is just for reading and reflecting

40. TimeDistance 0 1 2 3 4 0 2 4 6 8 Add a First Differences Column to your chart First Differences When the FDs are the same, the relationship is linear 2 – 0 = 2 4 – 2 = 2 6 – 4 = 2 8 – 6 = 2 Imagine the snake at 2 m / second

41. Use a TOVs with a FD column to determine if the following relationship is linear or not. In summary FDs are the same, then linear FDs are different, then non-linear

42. See sheet