Show that the vector of residuals and the vector of fitted values are orthogonal. Also, show graphically
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- What helps to set of vectors linearly independent?Express the vector = + y. F 10 as a linear combination of -[-] and ÿ==The least squares regression line for a set of data is calculated to be y = 24.8 + 3.41x. (a) One of the points in the data set is (4, 37). Calculate the predicted value. (b) For the point in part (a), calculate the residual.
- Find the equation y = Bo + B1x of the least-squares line that best fits the given data points. (0,1), (1,1), (2,5), (3,5) The line is y =+ (Ox. (Type integers or decimals.)Find the least squares fit solution for paramters a & b of function: y = a/(x^2+b) Express the result for a & b in terms of the data (xi, yi), i=1,...,nfind slope of the regression line for x,y (4,5) and (6,8) Do not use two point slope formula
- ONLY do for the following initialization vectors: < 1, 1, 0, 1> and <1, 0, 1, 0>Find the least squares regression line for the points (0, 0), (1, 1), (3, 6), (4, 8), (5, 9). Use the regression capabilities of a graphing utility to verify your results. Use the graphing utility to plot the points and graph the regression line.Find the least-squares regression line ŷ =b0+b1x through the points (-1,2), (3,8),(4,13), (9,19),(11,23) and then use it to find point estimates ŷ y^ corresponding to x=2 and x=6. For x=2, ŷ = For x=6, ŷ =
