Q. 1.4 Let X, X2, X3, X, U(0,0) and let Y < Y < Y3 < Y, define the order statisticsof the sample. Let Ho : 0 = 1 and Hi : 0 > 1. We reject Ho if Y, 2 c. Find the constant eso that a = 0.05. Find the power function of the test.

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Answered: Q. 1.4 Let X, X2, X3, X, U(0,0) and let…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Prove the statement
R2
Please do all parts and please show step by step
Green Auto periodically has a special week-long sale. As part of the advertising campaign, Green runs one or more television commercials during the weekend preceding the sale. Given are seven observations for two variables, x and y. Number of TV Ads (x) 1 3 2 1 3 4 3 Number of Cars Sold (y) 14 24 15 13 27 28 21 (E). Compute the coefficient of determination R^2. Comment on the goodness of fit. (F). Use the F test to test the hypotheses (α = 0.05): ??0: ??1=0; ????: ??1≠0 State the conclusion and the reasons (i.e., rejection rule).
Answers for a, b and c
22. Given a random sample {(x₁, y₁), (x₂, y2), (xn. Yn)} such that Sxx = 107 and Syy = 54.75. If the regres line that relates the variables X and Y has a slope of 0.257, find the linear correlation coefficient r. A 0.069 B 0.359 C 0.083 D 0.453
Let X1,X2.,X, and Y1,Y2,.Yn be two random sample of size n from a normal independent distributions Var(X)=1 and Var(Y)=20?. Let U = E-1(X; – X)² and W = E1(Y; – Y)? W a. What is the sampling distribution of the statistic U + 202 b. If the 90th percentile of the statistic (U + 202 is 33.20, what is the sample size n?
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. x 0 2 5 6 y 50 44 33 26 Complete parts (a) through (e), given Σx = 13, Σy = 153, Σx2 = 65, Σy2 = 6201, Σxy = 409, and r ≈ −0.991 (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r =
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Q. 1.4 Let X, X2, X3, X, U(0,0) and let Y < Y2 < Ys < Y, define the order statistics of the sample. Let Ho: 0 1 and H : 0 >1. We reject Ho if Y 2 c. Find the constant e so that a = 0.05. Find the power function of the test.