Warm Up

1. Warm Up Find the equation of a line passing through (3, 4) and perpendicular to

2. October 11, 2009 6-6 Scatter Plots & Lines of Fit Objective: Interpret points on a scatter plot. Write equations for lines of fit.

3. A scatter plot is a graph in which two sets of data are plotted as ordered pairs in a coordinate plane.Scatter plots are used to investigate a relationship between two quantities

4. A positive correlation means as x increases, y increases.A negative correlation means as x increases, y decreases.There is no correlation means that x and y are not related.

5. Examples:

10. Positive Correlation • If you look at the age of a child and the child’s height, you will find that as the child gets older, the child gets taller. Because both are going up, it is positive correlation.

11. Negative Correlation • If you look at the age of your family’s car and its value, you will find as the car gets older, the car is worth less. This is negative correlation.

12. No Correlation • If you look at the size shoe a baseball player wears, and their batting average, you will find that the shoe size does not make the player better or worse, then are not related.

13. Scatter Plots Determine whether a scatter plot of the data for the following might show a positive, a negative, or no relationship. Please explain. Study time, higher grades

14. Scatter Plots Determine whether a scatter plot of the data for the following might show a positive, a negative, or no relationship. Please explain. Age of car, value of car

15. Scatter Plots Determine whether a scatter plot of the data for the following might show a positive, a negative, or no relationship. Please explain. Height, intelligence

16. Scatter Plots Determine whether a scatter plot of the data for the following might show a positive, a negative, or no relationship. Please explain. Shoe size, salary

17. Scatter Plots Determine whether a scatter plot of the data for the following might show a positive, a negative, or no relationship. Please explain. Miles per gallon, gas expense

18. Scatter Plots Determine whether a scatter plot of the data for the following might show a positive, a negative, or no relationship. Please explain. Education, salary

19. Scatter Plots Determine whether a scatter plot of the data for the following might show a positive, a negative, or no relationship. Please explain. Wrist circumference, appetite

20. Scatter Plots Determine whether a scatter plot of the data for the following might show a positive, a negative, or no relationship. Please explain. Birthdate, ring size

21. Scatter Plots Determine whether a scatter plot of the data for the following might show a positive, a negative, or no relationship. Please explain. Windchill, ice cream sales

22. Scatter Plots Determine whether a scatter plot of the data for the following might show a positive, a negative, or no relationship. Please explain. Age of tree, number of rings

23. Scatter Plots Determine whether a scatter plot of the data for the following might show a positive, a negative, or no relationship. Please explain. Amount of snowfall, shovel sales

24. Scatter Plots Determine whether a scatter plot of the data for the following might show a positive, a negative, or no relationship. Please explain. Hair length, hat size

25. If the data points do not all lie on a line, but are close to a line, you can draw a line of fit.

26. Example: • The table shows the world population growing • at a rapid rate. Find a line of fit.

27. Rectangle Family Investigation

28. The calculator uses a statistical method to find the line that most closely approximates the data. This is called the line of best-fit.

29. The Wave

30. Worksheet

31. Secret Message Chain

32. Bungee Barbie

33. Homework – WB pg.