Find the least-squares error E for the least-squares line fit tthe four points in Fig. 5.8.y = 1.1x + 34321 2 3 4Figure 5

The equation of the line is y=1.1x+3

Answered: Find the least-squares error E for the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Use the method of least squares to fit the model to the data. Y hat= _+_x
Hello there, can you help me solve the problem with two subparts (b and c) Problem: (the image is attached) Subparts: b. Find the least-squares curve of the form above to fit the data (4, 1.57), (6, 2.05), (8, 2.5), (10, 2.7), (12, 3.1), (14, 3.6), (16, 3.8), and (18, 4.35), where x and y represent sales and costs in thousands. Produce a graph that shows the data pts and the graph of the cubic approximation. y = __x + (__)x2 + (__)x3 c. (the image is attached)
What is the correct solution?
The data points in ExerciseIn each of Exercises, we have presented two linear equations and a set of data points. For each exercise,a. plot the data points and the first linear equation on one graph and the data points and the second linear equation on another.b. construct tables for x, y,ŷ e, and e2 like Table (page 626).c. determine which line fits the set of data points better, according to the least-squares criterion.TABLEDetermining how well the data points in Table are fit by (a) Line A and (b) Line Ba. Line A: y= -1 + 2x x y ŷ e e2 1 3 1 2 4 2 1 3 -2 4 3 5 5 0 0 8 b. Line B: y= -1 + x x y ŷ e e2 1 3 2 1 1 2 1 3 -2 4 3 5 4 1 1 6 TABLE Three data points x y 1 3 2 1 3 5 Line A: y=3-0.6x, Line B: y=4-xData Points x 0 2 2 5 6 y 4 2 0 -2 1 ŷ =14-3x x 1 3 4 4 y 13 -1 3 5
I need both answers clear typing urjent i will give 5 upvotes
Y 2.9 1 -2.3 -3.2 x -2.5 -1.4 0.2 3.0 y -3.2 -2.3 2.9 1.0 -2.5 -1.4 X 0.2 3 Using this data, find the parameters a and b to fit a y = b eª curve using the least squares method.
You are required to find the centre (h, k) and radius (r) of the best fitting circle using the equation (x – h): + (y – k) = r given the coordinates (x, y) of four points A, B, C, and D. (Hint 1: draw a sketch) Can you use a least-squares adjustment for this task? Why or why not? (Hint 2: how many degrees of freedom are there to this problem?) What kind of adjustment would be used? Give the dimensions of the matrices and vectors to be used in the adjustment.
Suppose you are given the following x,y data pairs: x- 1,3,4 y-2,1,6 Show that the least squares equatuon is y=1.143+1.071x Now suppose you are given these data pairs x-2,1,6 y-1,3,4 Show that the least squares equation for these is y=1.595+0.357x In the data for parts a and b did we simply exchange the x and y values for each data pair? Solve 0.143+1.071x for x. Do you get the least squares equation of part b with symbols x and y exchanged? If we solve this equation for x, will we necessarily get the least squares equation for the set of data pairs y,x with x and y exchanged? Explain
Hello there, can you help me solve the problem with two subparts (b and c)? Thank you Problem: (the image is attached) Subparts: b. Find the least-squares curve of the form above to fit the data (4, 1.57), (6, 2.05), (8, 2.5), (10, 2.7), (12, 3.1), (14, 3.6), (16, 3.8), and (18, 4.35), where x and y represent sales and costs in thousands. Produce a graph that shows the data pts and the graph of the cubic approximation. y = __x + (__)x2 + (__)x3 (round to six decimal places as needed.) c. (the image is attached) (round to four decimal places)

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Find the least-squares error E for the least-squares line fit t the four points in Fig. 5. 8. y = 1.1x + 3 4 3 2 1 2 3 4 Figure 5