The Correlation Coefficient as a Slope
Before we explore the original problem further, let's examine some other interpretations of the correlation coefficient. In the applet below, points A, B, C, D, and E have the correlation shown and are best modeled by the [b]blue least squares regression line[/b].[color=#1551b5][/color]. Points A', B', C', D', and E' are the [b]Standardized Points[/b] (the coordinates are z-scores). The equation of the LSRL that best fits these points is a line through the origin (a direct variation) with a slope equal to the correlation coefficient. |
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