Sec3.4

# Sec3.4 - undefined because the variance of Y is zero...

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Correlation

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Correlation and Causation
3.4.1.Covariances and Correlations

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Sample Correlation Coefficient NOTE: Negative correlations usually indicate that the points are scattered around a straight line having a negative slope.

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Scatter Plots for Correlation
Correlation: Examples Several sets of ( x , y ) points, with the correlation coefficient of x and y for each set. Note that the correlation reflects the noisiness and direction of a linear relationship (top row), but not the slope of that relationship (middle), nor many aspects of nonlinear relationships (bottom). N.B.: the figure in the center has a slope of 0 but in that case the correlation coefficient is

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Unformatted text preview: undefined because the variance of Y is zero. Numerical Example = Strong positive correlation between X and Y 3.4.2 Fitting Simple Regression Lines to Data Simple Linear Regression Simple Linear Regression 3.4.2.1. The Least Squares Method The Least Squares Method (Cont.) Estimated Coefficients Relationship between the slope and correlation coefficient Coefficient of Determination Numerical Example: Telecommunication Satellites Numerical Example (Cont.) Numerical Example (Cont.) Numerical Example (Cont.) Robust Correlation See example 3.8, p.64...
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Sec3.4 - undefined because the variance of Y is zero...

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