LINEAR ALGEBRA 2. (6 marks) Find the best line y=c+dt to fit y=1, 1, 2, 2...
2. (6 marks) Find the best line y = c+dt to fit y = 1, 1, 2, 2 at times t = -1, 0, 1, 2. (Use the least squares approximation.)
Find the best line y = c+dt to fit y = 1, 1, 2, 2 at times t=-1, 0, 1, 2. (Use the least squares approximation.) 9
1. (4 marks) Show that the set of vectors {7: = (1,1,1,1), 7x = (1,0,−1,0), 7: = (0,1,0, -1)} is orthogonal. Use those vectors in the set to get an orthonormal set {to, to, s}. 2. (6 marks) Find the best line y =c+dt to fit y=1, 1, 2, 2 at times t = -1, 0, 1, 2. (Use the least squares approximation.)
Linear Algebra Question 25. Suppose you are looking at data which is supposed to fit an exponential equation, i.e. a model of the form y= Cekz where C and k are constants. Suppose your data points are (2, 5), (3,8) and (4, 17). Use least-squares to find (decimal approximations to) the values of C and k which best fit this model How to proceed: First, take the natural log of both sides of the model to obtain what is called...
Linear Algebra Question: Least Squares {(0, b), (1, b2),, , . (k, bk)) İs a set of k points in R2. Show that in the horizontal line 5. Suppose P of best fit f(x) A, A is the average of the numbers b1,. b {(0, b), (1, b2),, , . (k, bk)) İs a set of k points in R2. Show that in the horizontal line 5. Suppose P of best fit f(x) A, A is the average of the...
3. (25 points) Find the line of best fit for the points (0,0), (2, -1), (0, -2) and (2, -3) using linear algebra.
q We would like to fit a line y = cx + d to the following data х у -1 -3 0 -1 0 2 3 using the method of least squares. (a) Write down the (overdetermined) linear system this problem gives rise to in the form Ax = b, where x = (..) (b) Find the best-fit line by computing the least-squares solution of the system Ax = b.
3. Find the best straight-line fit (least squares) to the measurements t -2, b 4 at at t =-1 b 1 at t0 b 0 at t = 2. Then find the projection p of 3 b 0 onto the column space of A = 1 10 1 2
Help on this question of Linear Algebra, thanks. Find the equation of the least squares line for the following data: (1,2), (2,4), (3,7), (4,8), (5,10) Then make a table that displays data point 2-values, data point y-values, and the least square line values at data point x-values.
(a) Sketch the line that appears to be the best fit for the given points. (b) Find the least squares regression line. y(x)= (c) Calculate the sum of squared error. 11. [-13.22 Points] DETAILS LARLINALG8 2.6.017. Consider the following. 5 (1,5) 4 (2, 4) 3 2 (2, 2) (3, 1) - Х - 1 2 3 4 -14 (a) Sketch the line that appears to be the best fit for the given points.