STATS 250 Chapter 11: STATS 280 CHAPTER 11 NOTES
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STATS 250 Full Course Notes
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The distance of a point above or below the regression line is error = actual predicted. Introduction: (cid:3042) (cid:2869)2+(cid:3042) (cid:2870)2+ +(cid:3042) (cid:3041)2 (cid:3041, shows how far typical points are above or below the regression line. Essentially stands for the standard deviation for spread around regression line. 68% are within 1 r. m. s above and below. 95% are within 2 r. m. s above and below. The r. m. s error for the regression line of y on x can be figured as. 1 (cid:2870) : the unit for the r. m. s error are the same as the units for the variable being predicted. R describes the clustering of the points around a line, relative to the sds. R says how the average value of y depends on x associated with each one-sd increase in x there is an increase of only r sds in y, on the average. R determines the accuracy of the regression predictions, through the formula for r. m. s error.