Without proof, equation (5.2) states that for a least-squares or polynomial regression (whether this applies to regression on just one variable is unknown to me), CV (n) = 1 n n ∑ i = 1(yi − ˆyi 1 − hi)2 where " ˆyi is the i th fitted value from the original least squares fit (no idea what this means, by the way, does it mean from using all of the points in the data set?) and hi is the leverage" which is defined by hi = 1 n + (xi − ˉx)2 n ∑ j = 1(xj − ˉx)2.

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The equation of the least squares regression line is: w 0 1 h E EÖ where 55.5 0.1597 Ö 8.86 1 hh hw S S E and Ö 67 55.5 1.6109 22.4 E 0 w E 1 h u So the equation of the regression line of w on h is: wÖ = -22.4 + 55.5 h b) To find the weight for someone that is 1.6m high: wÖ = -22.4 + 55.5×1.6 = 66.4 kg Simple Linear Regression: 2. Measures of Variation The regression constant (b 0) is equal to the y intercept of the regression line. The regression coefficient (b 1) is the average change in the dependent variable (Y) for a 1-unit change in the independent variable (X). It is the slope of the regression line. The least squares regression line is the only straight line that has all of these ... 2 Least-squares fitting of a straight line 2.1 General considerations Attention shall be restricted to the classical problem of least-squares fit-ting of a straight line, where both variables are measured with errors and the true points lie on the unknown regression line i.e. functional models (e.g.,

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