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Estimating Ages Scatter Plots

Learn how to create scatter plots, analyze correlations, and make predictions using least-squares regression lines. Use a graphics calculator to find equations for the lines and estimate values in real-world scenarios.

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Estimating Ages Scatter Plots

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  1. Estimating AgesScatter Plots

  2. Oprah Winfrey

  3. Jennifer Aniston

  4. Brad Pitt

  5. Billy Joel

  6. Jamie Foxx

  7. Betty White

  8. Neil Patrick Harris

  9. Samuel L. Jackson

  10. Ray Lewis

  11. Mark Zuckerberg

  12. Justin Timberlake

  13. Amy Schumer

  14. Angelina Jolie

  15. Dr. Dre

  16. Cal Ripken Jr.

  17. DanaiGurira

  18. Taylor Swift

  19. Michael Jordan

  20. Ryan Reynolds

  21. Mick Jagger

  22. Scatter Plots and Least-Squares Lines Objectives: Create a scatter plot and draw an informal inference about any correlation between the variables Use a graphics calculator to find an equation for the least-squares line and use it to make predictions or estimates

  23. Vocabulary • Scatterplot: Is a graph showing two sets of quantitative data on a coordinate plane. • Explanatory Variable (x): is the variable that is trying to explain changes in y. • Response Variable (y): is the value obtained at a specific x-value.

  24. Correlation • The main result of a correlation is called the correlation coefficient (or "r"). It ranges from -1.0 to +1.0. The closer r is to +1 or -1, the more closely the two variables are related. • If r is close to 0, it means there is no linear relationship between the variables. • If r is positive, it means that as one variable gets larger the other gets larger. If r is negative it means that as one gets larger, the other gets smaller

  25. y y y x x x Correlation negative correlation no reliable correlation positive correlation r is close to -1 r is close to 1 r is close to 0

  26. y y y x x x Correlation and Prediction no reliable correlation perfect positive correlation perfect negative correlation r = -1 r = 0 r = 1

  27. 10 8 6 4 2 10 6 8 2 4 Least-Squares Regression Line (LSRL) (line that best fits the data) VIDEO TUTORIAL STATCRUNCH

  28. Equation of LSRL Stat Crunch

  29. Example 1 Create a scatter plot for the data shown below. Describe the correlation. Then find and graph an equation for the least-squares line.

  30. Example 2 The table below shows the number of students enrolled in MATH 253 at CCBC in six of the last 7 semesters. The number for the third year has been misplaced. Estimate the number of students enrolled in Math 253 in the third year.

  31. Make prediction for the height at: • 21 months • 28 months • 20 years

  32. Guess the ages of these 4 celebrities Cristiano Ronaldo Dr. Phil Kevin Hart James Patterson

  33. Actual Ages • Dr. Phil (68 years old) • Kevin Hart (39 years old) • Cristiano Ronaldo (33 years old) • James Patterson (71 years old)

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