POL 201 Chapter : Correlation and Regression

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A summary of the key points about correlation and regression. At the interval level, any relationship can be analyzed in terms of both its nature and its strength. We can visualize the shape or nature of the relationship by plotting our cases in a scatter diagram or scatterplot. The vertical axis represents the dependent variable (y) and the horizontal axis represents the independent variable (x), and each case is plotted according to its y and x scores. To summarize the nature of the relationship (if any) between x and y, we can fit a line as closely as possible to the cluster of points in the scattergram. This line is called a regression line and is defined by its y-intercept, a, and a slope, b: B" is known as the regression coefficient. It tells us what change in y is produced by a one unit change in x. A" is the intercept, the value of y when x = 0.

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