# Ch12 - Chapter 12 Bivariate Regression Analysis Chapter 12...

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Chapter 12 1 Chapter 12 Bivariate Regression Analysis

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Chapter 12 2 Relationship between 2 quantitative variables We create a scatter plot to see association or pattern Example… Age predicting salary
Chapter 12 3 Figure 12.1 page 490 Figure 12.1 page 490

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Chapter 12 4 After creating a picture of the data we then summarize using numbers Our objective is to quantify the relationship between the two variables Relationships can take on many different shapes such as: linear, quadratic, or exponential
Chapter 12 5 Let’s focus on linear relationships Why? Common Simple to see Simple to model (y=a+bx).

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Chapter 12 6 Correlation Correlation: Strength and direction of linear relationship between 2 variables -1 < r < 1
Chapter 12 7

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Chapter 12 8 To calculate r: Given a paired data set: xy xx yy SS r SS SS =
Chapter 12 9 Important facts about correlation: Not appropriate for categorical variables r has no units r is not resistant…it is affected by outliers

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Chapter 12 10
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