Fitting a Line to Data

1. SECTION 3-6
Fitting a Line to Data

2. Warm-up
Complete the In-class Activity on page 168

3. Scatterplot:

4. Scatterplot: A collection of discrete points that describe a situation (data)

5. Scatterplot: A collection of discrete points that describe a situation (data)
Line of Best Fit/Regression Line:

6. Scatterplot: A collection of discrete points that describe a situation (data)
Line of Best Fit/Regression Line: A line that comes close to most of the
points in a scatterplot

7. Scatterplot: A collection of discrete points that describe a situation (data)
Line of Best Fit/Regression Line: A line that comes close to most of the
points in a scatterplot
***Does not need to touch any points!!!***

8. Scatterplot: A collection of discrete points that describe a situation (data)
Line of Best Fit/Regression Line: A line that comes close to most of the
points in a scatterplot
***Does not need to touch any points!!!***
Coefficient of Correlation:

9. Scatterplot: A collection of discrete points that describe a situation (data)
Line of Best Fit/Regression Line: A line that comes close to most of the
points in a scatterplot
***Does not need to touch any points!!!***
Coefficient of Correlation: Determines the strength of the relationship
between the variables

10. Scatterplot: A collection of discrete points that describe a situation (data)
Line of Best Fit/Regression Line: A line that comes close to most of the
points in a scatterplot
***Does not need to touch any points!!!***
Coefficient of Correlation: Determines the strength of the relationship
between the variables
***Will be on -1 ≤ r ≤ 1***

11. Scatterplot: A collection of discrete points that describe a situation (data)
Line of Best Fit/Regression Line: A line that comes close to most of the
points in a scatterplot
***Does not need to touch any points!!!***
Coefficient of Correlation: Determines the strength of the relationship
between the variables
***Will be on -1 ≤ r ≤ 1***
***When r < 0, the slope is negative. When r > 0, the slope is positive.***

12. Scatterplot: A collection of discrete points that describe a situation (data)
Line of Best Fit/Regression Line: A line that comes close to most of the
points in a scatterplot
***Does not need to touch any points!!!***
Coefficient of Correlation: Determines the strength of the relationship
between the variables
***Will be on -1 ≤ r ≤ 1***
***When r < 0, the slope is negative. When r > 0, the slope is positive.***
***The closer that |r| = 1, the stronger the correlation.***

13. Example 1
We’re comparing time spent exercising with resting heart rates. The info is in
your notes. And we’re going to go through the graphing process.

14. Example 2
a. What correlation exists?

15. Example 2
a. What correlation exists?
Positive

16. Example 2
a. What correlation exists?
Positive
b. What is the correlation value (r)?

17. Example 2
a. What correlation exists?
Positive
b. What is the correlation value (r)?
r = .7260615475

18. Example 2
a. What correlation exists?
Positive
b. What is the correlation value (r)?
r = .7260615475
c. If you spent 5 hours a week studying, what grade would you expect?

19. Example 2
a. What correlation exists?
Positive
b. What is the correlation value (r)?
r = .7260615475
c. If you spent 5 hours a week studying, what grade would you expect?
About a 77

20. Homework

21. Homework
p. 172 #1, 3-7, 14, 15, 20 (a, b, d, g, h, i), 21-27
“Your true value depends entirely on what you are compared with.”
- Bob Wells