Find the equation y = B. +B,x of the least-squares line that best fits the given...
Find the equation y = Bo + B,x of the least-squares line that best fits the given data points. (1,1), (2,1), (3,2), (4,2) The line is y=+x. (Type integers or decimals.) Find the equation y = B.+Byx of the least-squares line that best fits the given data points. (5,6), (6,4), (8,2), (9,0) The line is y=+x. (Type integers or decimals.) Find the equation y = Be + Box of the least-squares line that best fits the given data points. (-1,0),...
can you do it step by step to understand Find the least-squares line y P0 + Pzx that best fits the given data 1 Given: The data points (-3, 2), (-2, 5), (0, 5), (2, 2), (3,7) Suppose the errors in measuring the y-values of the last two data points are greater than for the other points. Weight these data points half as much as the rest of the data 1-3 1-2 | [β1 β2 A) y 0.9 1.54x B)...
Find the line y = a + bx which best fits the data points (x, y): (0, 1), (1, 1), (1, 2) in the least squares sense. must use matrix
This problem uses least squares to find the curve \(y=a x+b x^{2}\) that best fits these 4 points in the plane:$$ \left(x_{1}, y_{1}\right)=(-2,2), \quad\left(x_{2}, y_{2}\right)=(-1,1), \quad\left(x_{1}, y_{3}\right)=(1,0), \quad\left(x_{4}, y_{4}\right)=(2,2) . $$a. Write down 4 equations \(a x_{i}+b x_{i}^{2}=y_{i}, i=1,2,3,4\), that would be true if the line actually went through a11 four points.b. Now write those four equations in the form \(\mathbf{A}\left[\begin{array}{l}a \\ b\end{array}\right]=\mathbf{y}\)c. Now find \(\left[\begin{array}{l}\hat{a} \\ \hat{b}\end{array}\right]\) that minimizes \(\left\|A\left[\begin{array}{l}a \\ b\end{array}\right]-\mathbf{y}\right\|^{2}\).
10 of 10 (8 complete) Find the least-squares line y-Po +Rx that best fits the given data. Given The data points (-2.2). (-1,5). (0.5),(1.2), (2.2) Suppose the errors in measuring the y-values of the last two data points are greater than for the other points. Weight these data points twice as much as the36 O A. y-26-053x ОВ. у-28-055x O C. y-29-045x rest of the data 1 -2 2 5 y 5 1 -1 βι P2 10 of 10 (8...
6) Compute the least-squares regression line for predicting y from x given the following summary statistics. Round the slope and y -intercept to at least four decimal places. = x 8.8 = s x 1.2 = y 30.4 = s y 16 = r 0.60 Send data to Excel Regression line equation: = y 7)Compute the least-squares regression equation for the given data set. Use a TI- 84 calculator. Round the slope and y -intercept to at least four decimal...
(2 points) Find the least-squares regression line y = bo +b x through the points (-2,0), (2,9), (6, 13), (8, 20), (10,27). For what value of x is 9 = 0?
1. Problem 1. Given a data set (X, Y), use the least squares techniques to find the best ftting curve y-/() within the exponential family v ab) where a,b ER. The data set is given by, where, χ-io, 0.2, 0.4, 0.6, 08, 09, 1, 12, 14, 1.6] y 2, 2.5, 3.1, 3.9, 4.8, 5.4, 6, 7.5, 9.3, 11.6] In particular: a) Going from the original data (x,Y) set to the transformed data set (X, Z) with z(Y)-In (Y), verify that...