MATH 102 Lecture : Math 102 Chapter 72 Least Squares Notes
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Given data points from observations / tests. Try to use data to draw line. Optimize the " sameness" of line & data points. , line = avg. of y-values another need to minimize combined errors. 1 yi - yz i y , is data"s value yz is point on line. Another option : add up residuals squared ( y , Data :( i , l) , 12 , 2) , 14 , l ) ( 1-21-12 + ( 2-172+2-112. Take a bunch of lines - try to figure out which will minimize the hunter least squares - line not going through origin. Generic line w/ intercept & slope y=m + b. 14 , 3) (6)2) sum of square residuals ( i-12m +b)12+13-14mtb)i. + ( 2-16m +b)72 line through origin formula y=ax a= f i = single line through origin. 2 yz 3 93 that fits data best. Minimizes sum of square residuals a = -2 + o - u.