A point is randomly selected with uniformprobability in the X-Y. Plane within therectangle with corners at (0, 0), (1, 0), (1, 2)and (0, 2). If p is the length of the positionvector of the point, the expected value of p2 is

Given that, A point is randomly selected with uniform probability in the XY-Plane within the…

Answered: A point is randomly selected with…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 43E

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Q4) a) Let 6, and 0, be two unbiased estimators of 0. Show that ô, = aổ, +(1-a), 0sasl is an unbiased estimator of 0. Note that a convex combination of , and 0,. In addition, assume that and ô, are independent, and vo, ) = a; and vl@, )= a How should the constant a be chosen in order to minimize the variance of :? f(x,0)= {2 (1+ €x) -1sxs1 otherwise b) Consider the pdf i) Use the MOM to estimate 0. ii)Show that =3X is unbiased estimator for 0.
7 FInd the linear approximatron near (2,0) of
Linear regression was performed on a dataset and it was found that the best least square fit was obtained by the line y = 2x + 3. The dataset on which regression was performed was corrupted in storage and it is known that the points are (x, y): (-2,a), (0,1), (2, B). Can we recover unique values of a, B so that the line y = 2x + 3 continues to be the best least square fit? Give a mathematical justification for your answer.
The least squares fit line for the points (1,-0.3), (2,-0.4), and (3, 0.7) has form ŷ = mx + b. First, let f be the sum of the square errors between the predicted values ŷ and y-values for the three points. f(m, b) = Minimize this function to find the m and b of the least square line, then write down equation of least squares line. y= Submit Question
Find the cross product axb a=(2, – 1, 2), b=<0, 4, 5) |
The least squares fit line for the points (2, 3.6), (1, 1.8), and (3, 5.1) has form ŷ = mx + b. First, let f be the sum of the square errors between the predicted values ŷ and y-values for the three points. f(m, b) = Minimize this function to find the m and b of the least square line, then write down equation of least squares line. y =
Let f(x, y) = ax² + bx + cy² + xy. Find non-zero values of a, b and c so that (1, 1) is a saddle point of f. Clearly show your work of finding a, b and c. Then, check your work by starting with the function with your values of a, b and c plugged in and show (1, 1) is a saddle point.
,
The linearity between two variables X and Y, in pairs, defined as X=[4,2,3,5,2,4] and Y=[6,4,6,8,5,10] is equal to" 351/500 407/701 149/500 317/625 107/504 correct option?
There is english language section
Use partial derivatives to obtain the formula for the best least-squares fit to the data points. (4,7), (2,3), (3,14) y = (Simplify your answer. Use integers or decimals for any numbers in the expression.)

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A point is randomly selected with uniform probability in the X-Y. Plane within the rectangle with corners at (0, 0), (1, 0), (1, 2) and (0, 2). If p is the length of the position vector of the point, the expected value of p? is