Suppose that a scatter diagram is football-shaped. Take the points inside a narrow vertical strip. Their y-values
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Suppose that a scatter diagram is football-shaped. Take the points inside a narrow vertical strip. Their y-values are a new data set. The new average is estimated by the regression method. The new SD is about equal to the r.m.s. error for the regression line. And the normal approximation can be done as usual, based on the new average and the new SD. pl875
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