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2-5 Using linear models

2-5 Using linear models. 1. Warm-up. Make a scatter plot from the table. Ages of Famous Personalities. Oprah Winfrey. Beyonce Knowles. George Clooney. Ellen DeGeneres. Leonardo DiCaprio. Miley Cyrus. Denzel Washington. Queen Latifah. Rachel McAdams. Samuel L. Jackson.

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2-5 Using linear models

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  1. 2-5 Using linear models

  2. 1. Warm-up Make a scatter plot from the table.

  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 DiCaprioage 37

  24. Miley Cyrus age 19

  25. Denzel Washington age 57

  26. Queen Latifahage 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. Correlation: Question #2 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. 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. Scatter plots and equations of lines 0 -1 1

  36. 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. 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 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. 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. 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

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