If x and y are two correlated variables with S.D. 0, and o, andOxOycorrelation coefficient p, find the correlation between ax + by · andare9.cx + dy, a, b, c, d being constants. Find k for which x+ ky and x +yuncorrelated.

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Answered: 7. If x and y are two correlated…

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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What is indicated by a Pearson correlation of r= +1.00 between X and Y? O Every increase in X causes an increase in Y Every change in X causes a change in Y O Each time X increases, there is a perfectly predictable increase in Y All of the other 3 choices occur with a correlation of +1.00.
In a sample there are 3 male dogs and 3 female dogs. These dogs are couples such that the weight of the ith dog, and the Fi measures the weight of the ith dogs girlfriend. The correlation between M and F is exactly 1 and when the data points are graphed the slope of them are 1. Is it possible for some of these dogs to weight more than their female couple, while other dogs weight less then their female couple? And is it possible that all of the male dogs have couple female dogs that are all shorter than them?
Consider a two-dimensional scatterplot representing the relationship between two continuous variables. If the correlation coefficient is -1, then: a. All points lie in a straight line with a slope of -1. b. All points lie in a straight line with an unknown negative slope. c. All points do not lie in a straight line but the best fitting regression line has a slope of -1 d. There is a strong positive relationship between the two variables.

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7. If x and y are two correlated variables with S.D. 0 and o, and correlation coefficient p, find the correlation between ax + by · and Ox cx + dy, a, b, c, d being constants. Find k for which x+ ky and x + y are Oy uncorrelated.