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Chapter 10: Correlation and Regression
Correlation & Regression ,[object Object],[object Object]
Independent and Dependent Variable ,[object Object],[object Object],[object Object]
Scatter Plot ,[object Object],[object Object]
Analyzing a Scatter Plot ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example: Construct a scatter plot of the data and discuss any trends that you see. ,[object Object],54.4 71.3 44.5 41.6 80.6 52.2 28.7 62.5 Yield of Wheat (bushels per acre) 13.1 15.9 10.3 8.8 18.6 11.3 7.2 12.9 Rainfall (inches)
Example: Prepare a scatter plot of the data and discuss any trends. ,[object Object],[object Object]
Correlation Coefficient ,[object Object],[object Object],[object Object]
Correlation Coefficient (cont’d.) ,[object Object],[object Object],[object Object]
Correlation Coefficient (cont’d.) ,[object Object],Strong negative linear relationship Strong positive linear relationship  1  1 0 No linear relationship
Formula for the Correlation Coefficient r ,[object Object]
Possible Relationships Between Variables ,[object Object],[object Object],[object Object]
Possible Relationships Between Variables ,[object Object],[object Object]
Interpretation of Relationships ,[object Object]
Example ,[object Object],82 80 88 92 93 90 95 Heart Rate, y 0.50 0.40 0.35 0.30 0.25 0.20 0.125 Drug Dosage, x
Example ,[object Object],87 90 83 65 70 90 75 Cost, y 4 6 2 1 3 4 2 Age, x
Steps in Regression Analysis ,[object Object],[object Object],[object Object]
Steps in Regression Analysis ,[object Object]
[object Object],[object Object]
[object Object],[object Object]
[object Object]
[object Object],[object Object]
Example: Drug dosage vs. Heart Rate Data Revisited ,[object Object],[object Object]
Example: Age of Register vs. Repair Cost Data Revisited ,[object Object],[object Object]
The Coefficient of Determination ,[object Object],[object Object]
[object Object],[object Object]
Example ,[object Object]
Example ,[object Object]
 

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Chapter 10

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