The Linear Correlation Coefficient

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Presentation transcript:

The Linear Correlation Coefficient Section 3 The Linear Correlation Coefficient

linear correlation coefficient – a number that measures the degree of linear relationship or correlation between the x and y values, denoted r coefficient of determination = r2

Properties of the linear correlation coefficient, r The value of r is always between -1 and 1 (-1 < r < 1) r = 1 perfect positive linear relationship or correlation (all points lie on the same line) r = -1 perfect negative linear relationship or correlation (all points lie on the same line) r > 0 positive linear relationship r < 0 negative linear relationship r = 0 no linear relationship

Example Find the linear correlation coefficient for the following data. x y 1 2 4 3 6