1. You need: Notebook paper Graph paper Pencil Workbook (back shelf)
Scatter Plots
You need:
Notebook paper
Graph paper
Pencil
Workbook (back shelf)

2. Graph the following points on a coordinate plane.
(-5, -2), (3, 5),(-1, -2), (2, 3), (6, 5), (-2, 1), (3, -1), (-3, -3), (5, 2), (1, -1), (-6, -5), (2, 1), (-2, -1)

4. Scatter Plots
We will…
Identify a scatter plot as having positive, negative, or no correlation.
Create a scatter plot from a given set of data.
Draw the line of best fit for a set of data.
Write the equation for a line of best fit in slope-intercept form.

6. Scatter Plots What is a Scatter Plot? What is a correlation?
A Scatter Plot is a graph of many different sets of variables as points on a grid.
What is a correlation?
A correlation is a relationship between variables.
Positive, Negative, and No Correlation.
What is a Line of Best Fit?
A Line of Best Fit is a straight line that come closest to the points on a scatter plot.

8. Positive Correlation
If the x-coordinates and the y-coordinates both increase, then it is POSITIVE CORRELATION.
This means that both are going up, and they are related.

9. Positive Correlation Age 1 2 3 4 5 6 7 8 Height “ 25 31 34 36 40 41 47
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.
Age 1 2 3 4 5 6 7 8
Height “ 25 31 34 36 40 41 47 55

10. Negative Correlation
If the x-coordinates and the y-coordinates have one increasing and one decreasing, then it is NEGATIVE CORRELATION.
This means that 1 is going up and 1 is going down, making a downhill graph. This means the two are related as opposites.

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.
Age of car 1 2 3 4 5
Value
$30,000
$27,000
$23,500
$18,700
$15,350

12. No Correlation
If there seems to be no pattern, and the points looked scattered, then it is no correlation.
This means the two are not related.

13. 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.

15. Scatter Plots
We will…
Identify a scatter plot as having positive, negative, or no correlation.
Create a scatter plot from a given set of data.
Draw the line of best fit for a set of data.
Write the equation for a line of best fit in slope-intercept form.

16. What type of correlation is this?

17. What type of correlation?

18. What type of correlation?

19. Identify each correlation.B C A

22. Line of Best Fit

23. The Line of Best Fit
is the straight line that best represents the data on a scatter plot.
may pass through all of the points, some of the points, or none of the points.
can be used to make predictions as to what can happen if the trend continues.
represents a relationship between two quantities.

26. Scatter Plots
We will…
Identify a scatter plot as having positive, negative, or no correlation.
Create a scatter plot from a given set of data.
Draw the line of best fit for a set of data.
Write the equation for a line of best fit in slope-intercept form.

27. Exit Ticket
Write positive, negative, or no correlation to describe this relationship. Explain

28. Plot the data on the graph such that homework time
is on the y-axis and TV time is on the x-axis..
Time Spent
Watching TV
Time Spent
on Homework
Student
Sam
30 min.
180 min.
Jon
45 min.
150 min.
Lara
120 min.
90 min.
Darren
240 min.
30 min.
Megan
90 min.
90 min.
Pia
150 min.
90 min.
Crystal
180 min.
90 min.

29. Plot the data on the graph such that homework time
is on the y-axis and TV time is on the x-axis. TV
Homework
240
210
180
150
120 90 60 30
30 min.
180 min.
45 min.
150 min.
120 min.
90 min.
Homework
Time on
240 min.
30 min.
90 min.
120 min.
150 min.
120 min.
180 min.
90 min.
Time Watching TV

30. Describe the relationship between time spent on
homework and time spent watching TV.
Trend appears linear.
240
210
180
150
120 90 60 30
Trend is decreasing.
Homework
Time on
Negative correlation.
Time Watching TV

31. Graph the data to see if there is a correlation between your absences and your math scores.

32. Draw a linear model paying attention to the closeness of the data points on either side of the line.

33. From the linear model, determine an approximate linear equation that models the given data.

35. Students can use this linear model to solve problems.
For example, through substitution, they can use the equation to determine that a student with 4 absences should expect to receive a math score of about 62.
They can then compare this value to their line.

36. Scatter Plots
We will…
Identify a scatter plot as having positive, negative, or no correlation.
Create a scatter plot from a given set of data.
Draw the line of best fit for a set of data.
Write the equation for a line of best fit in slope-intercept form.

37. Exit Ticket
Write the equation of the line of best fit for the following scatter plot.