L8-ss - The UNIVERSITY of NORTH CAROLINA at CHAPEL HILL...

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5/19/11 Lecture 8 1 STOR 155 Introductory Statistics Lecture 8: Least-Squares Regression The UNIVERSITY of NORTH CAROLINA at CHAPEL HILL
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5/19/11 Lecture 8 2 Review • Scatter plot: – Association: form, direction, strength – Just graphical , not numerical • Correlation: – Direction, strength, linear – Properties – Vertical and horizontal lines: r =0. • Correlation cannot tell the exact relationship.
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5/19/11 Lecture 8 3 Topics • Least-Squares Regression – Regression lines – Equation and interpretation of the line – Prediction using the line • Correlation and Regression • Coefficient of Determination
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5/19/11 Lecture 8 4 Age vs. Mean Height
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5/19/11 Lecture 8 5 To predict mean height at age 32 months?
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5/19/11 Lecture 8 6 Linear Regression • Correlation measures the direction and strength of the linear relationship between two quantitative variables • A regression line – summarizes the relationship between two variables if the form of the relationship is linear. – describes how a response variable
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L8-ss - The UNIVERSITY of NORTH CAROLINA at CHAPEL HILL...

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