PYB110 Study Guide - Final Guide: Standard Deviation, Linear Regression, Squared Deviations From The Mean
20 Jan 2017
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Whilst correlations can tell us the direction and strength of the relationship between the variables, the regression line can actually help us to plot the line that correlation metaphorically draws through the data. We can then use this line to predict scores on our dv. The correlation coefficient is a measure of how close the data falls to the regression line. It is called this because the line is drawn in a position that minimises the distances of all the data points to the line. In other words, the line of best fit or regression line takes into account every data point and is placed in a position which is as close as possible to as many points as it can be. In order to do so, we need two important pieces of information: The slope of the line is calculated using this formula: Essentially the top part of this formula is the same as the correlation formula.
