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Suppose you have a sample of n points for two variables: (x1, y1), (x2, y2), ... (xn, yn). Without going into various statistical considerations (which are nonetheless important) you can estimate the slope of the 'best' line that can be used to estimate the values of y from the values of x using for formula given for beta-hat in the wikipedia article for simple linear regression.

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Q: When you compare two variables how does that turn into slope?
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