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# AA Section 3-6

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Fitting a Line to Data

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### AA Section 3-6

1. 1. SECTION 3-6 Fitting a Line to Data
2. 2. Warm-up Complete the In-class Activity on page 168
3. 3. Scatterplot:
4. 4. Scatterplot: A collection of discrete points that describe a situation (data)
5. 5. Scatterplot: A collection of discrete points that describe a situation (data) Line of Best Fit/Regression Line:
6. 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. 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. 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. 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. 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. 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. 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. 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. 14. Example 2 a. What correlation exists?
15. 15. Example 2 a. What correlation exists? Positive
16. 16. Example 2 a. What correlation exists? Positive b. What is the correlation value (r)?
17. 17. Example 2 a. What correlation exists? Positive b. What is the correlation value (r)? r = .7260615475
18. 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. 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. 20. Homework
21. 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