4.4-14. Let X and Y be random variables of the continu- ous type having the joint pdf f(x, y) = 8xy. 0≤x≤y≤1. Draw a graph that illustrates the domain of this pdf. (a) Find the marginal pdfs of X and Y. (b) Compute x. r. o.o, Cov(X, Y), and p. (c) Determine the equation of the least squares regression line and draw it on your graph. Does the line make sense to you intuitively?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter4: Writing Linear Equations
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4.4-14. Let X and Y be random variables of the continu-
ous type having the joint pdf
f(x, y) = 8xy.
0≤x≤ysl.
Draw a graph that illustrates the domain of this pdf.
(a) Find the marginal pdfs of X and Y.
(b) Compute #x. r. o. o, Cov(X, Y), and p.
(c) Determine the equation of the least squares regression
line and draw it on your graph. Does the line make
sense to you intuitively?
Transcribed Image Text:4.4-14. Let X and Y be random variables of the continu- ous type having the joint pdf f(x, y) = 8xy. 0≤x≤ysl. Draw a graph that illustrates the domain of this pdf. (a) Find the marginal pdfs of X and Y. (b) Compute #x. r. o. o, Cov(X, Y), and p. (c) Determine the equation of the least squares regression line and draw it on your graph. Does the line make sense to you intuitively?
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