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22 (10 marks) For the following data points ((2.1).(3.2).(4.3).(5.3) determine the least squares approximating line Set...
Example 1: Least Squares Fit to a Data Set by a Linear Function. Compute the coefficients of the best linear least-squares fit to the following data. x2.4 3.6 3.64 4.7 5.3 y| 33.8 34.7 35.5 36.0 37.5 38.1 Plot both the linear function and the data points on the same axis system Solution We can solve the problem with the following MATLAB commands x[2.4;3.6; 3.6;4.1;4.7;5.3]; y-L33.8;34.7;35.5;36.0;37.5;38.1 X [ones ( size (x)),x); % build the matrix X for linear model %...
10. This data set is super small. It's really kinda cute. t 1.4 2.7 3.8 y 1.0 -2.3 1.6 I think a function of the form f(t) = c Int+2 cost could fit the data well. Let's find the best fit of this form in the least squares sense. Set your calculator in radian mode. (a) (4 points) Write the square error to be minimized to find the best choices for and cu (b) (8 points) Let c be a...
Numerical Methods 125% 4 16 (i) [1 mark] Given the data points {(ak,Uk))3-{(-1,03), (2.-01), (0.0.1)), the ai. Which of least-squares regression line can be written in the form y - do the following 2 x 2 linear systms of equations are the normal equations that determine the unknown coefficients do and ai? 0.5 0.6 0.6 A. 1 3 a1 B. 0.5 C. 0.5 0.5 0.6 0.26 [ao D.13 0.6」[al -0.5 0.6 3 1 o E. 5 La G) [I mark]...