1. 2-5 Using linear models

2. Warm-up 1. Make a scatter plot from the table. x y 1 2 -3 3 8 4 9 5
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3. Ages of Famous Personalities

4. Oprah Winfrey

5. Beyonce Knowles

6. George Clooney

7. Ellen DeGeneres

8. Leonardo DiCaprio

9. Miley Cyrus

10. Denzel Washington

11. Queen Latifah

12. Rachel McAdams

13. Samuel L. Jackson

14. Jackie Chan

15. Taylor Swift

16. Betty White

17. Hulk Hogan

18. Actual Ages

19. Oprah Winfrey Age: 58

20. Beyonce Knowles Age 31

21. George Clooney AGE 51

22. Ellen DeGeneres age 54

23. Leonardo DiCaprio age 37

24. Miley Cyrus age 19

25. Denzel Washington age 57

26. Queen Latifah age 42

27. Rachel McAdams age 33

28. Samuel L. Jackson age 63

29. Jackie Chan age 58

30. Taylor Swift age 22

31. Betty White age 90

32. Hulk Hogan age 59

33. Question #2 Correlation: Strong Negative Correlation
Strong Positive Correlation
Weak Negative Correlation
No Correlation
Weak Positive Correlation

34. Question #3 Choose two points from your table.
Find the slope of these two points
Write the equation in point-slope form using one
of your two points.
Transform your equation into slope-intercept form.

35. Scatter plots and equations of lines
The trend line that shows the relationship between two sets of data most accurately is called the line of best fit.
The graphing calculator gives you the correlation coefficient r, which tells you how closely the equation models the data. -1 1

36. Input x=33 into your equation for the line of best fit
Question #5
If you guessed that a person’s age was 33, what would the exact age be based on the line of best fit?
Input x=33 into your equation for the line of best fit

37. Input x=87 into your equation for the line of best fit
Question #6
If a person’s estimated age was 87, what would the exact age be based on the line of best fit?
Input x=87 into your equation for the line of best fit

38. Question #7 This time, y=87. Solve for x.
If a person’s actual age was 54, what would have been the estimated age based upon the line of best fit?
This time, y=87. Solve for x.

39. This time, y=(your age). Solve for x.
Question #8
What is your age? Based upon your line of best fit, what would have been your estimated age?
This time, y=(your age). Solve for x.

40. Does your scatterplot have a strong correlation?
Question #10
Based on your scatterplot and your correlation coefficient, were you a good guesser or a bad guesser?
Does your scatterplot have a strong correlation?
Is your correlation coefficient, r, close to 1 or -1?

41. HOMEwork tonight
pg. 96 #18