AA Section 3-6
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This document discusses key concepts for fitting a line to scatterplot data including: - A scatterplot is a collection of discrete data points that describe a situation. - A line of best fit/regression line is a line that comes close to most of the points in a scatterplot but does not need to touch any points. - The coefficient of correlation determines the strength of the relationship between variables on a scale of -1 to 1, where values closer to 1 or -1 indicate a stronger correlation and the sign of the value indicates the slope of the line of best fit. - Two examples are provided to demonstrate positive correlation, calculating the correlation value r, and using the line of best fit to predict expected values
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<1 point> 1. Create a correlation table for the variables in our data set. (Use analysis ToolPak or StatPlus:mac LE function Correlation.)Create a correlation table for the variables in our data set. (Use analysis ToolPak or StatPlus:mac LE function Correlation.)Create a correlation table for the variables in our data set. (Use analysis ToolPak or StatPlus:mac LE function Correlation.)Create a correlation table for the variables in our data set. (Use analysis ToolPak or StatPlus:mac LE function Correlation.)Create a correlation table for the variables in our data set. (Use analysis ToolPak or StatPlus:mac LE function Correlation.)Create a correlation table for the variables in our data set. (Use analysis ToolPak or StatPlus:mac LE function Correlation.)Create a correlation table for the variables in our data set. (Use analysis ToolPak or StatPlus:mac LE function Correlation.)Create a correlation table for the variables in our data set. (Use analysis ToolPak or StatPlus:mac LE function Correlation.)Create a correlation table for the variables in our data set. (Use analysis ToolPak or StatPlus:mac LE function Correlation.)
a. Reviewing the data levels from week 1, what variables can be used in a Pearson's Correlation table (which is what Excel produces)?Reviewing the data levels from week 1, what variables can be used in a Pearson's Correlation table (which is what Excel produces)?Reviewing the data levels from week 1, what variables can be used in a Pearson's Correlation table (which is what Excel produces)?Reviewing the data levels from week 1, what variables can be used in a Pearson's Correlation table (which is what Excel produces)?Reviewing the data levels from week 1, what variables can be used in a Pearson's Correlation table (which is what Excel produces)?Reviewing the data levels from week 1, what variables can be used in a Pearson's Correlation table (which is what Excel produces)?Reviewing the data levels from week 1, what variables can be used in a Pearson's Correlation table (which is what Excel produces)?Reviewing the data levels from week 1, what variables can be used in a Pearson's Correlation table (which is what Excel produces)?Reviewing the data levels from week 1, what variables can be used in a Pearson's Correlation table (which is what Excel produces)?
b. Place table here (C8):b. Place table here (C8):b. Place table here (C8):
c. Using r = approximately .28 as the signicant r value (at p = 0.05) for a correlation between 50 values, what variables areUsing r = approximately .28 as the signicant r value (at p = 0.05) for a correlation between 50 values, what variables areUsing r = approximately .28 as the signicant r value (at p = 0.05) for a correlation between 50 values, what variables areUsing r = approximately .28 as the signicant r value (at p = 0.05) for a correlation between 50 values, what variables areUsing r = approxi.
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AA Section 3-6
- 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