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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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
It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. 4 y 48 42 33 26 A USE SALT Complete parts (a) through (e), given Ex = 15, Ey = 149, Ex² = 77, Ey² = 5833, Exy = 489, and r= -0.9106. (a) Draw a scatter diagram displaying the data. 55 Graph Layers After you add an object to the graph you 50 can use Graph Layers to view and edit its properties. Fill 45 40 35 No Solution 30 25 20 O Help WebAssign. Graphing Tool ( b) Verify the given sums Σχ, Σγ, Σχ, Σy, Σχy, and the value of the sample correlation coefficient r. (Round your value forr to four decimal places.) Σχ Ey = Ex? = Ey? = Exy = r =

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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