15. If x₁ = y₁ + y2, X2 = y2 + Y3, x3 = y3+y₁, where y₁, y2 y3 arecorrelated variables each of which has zero mean and unit standarddeviation, find the multiple correlation coefficient x₁ and the two variablesX2, X3.

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Answered: 15. If x₁=Y1+ y2, X2 = y2 + Y3, x3 =…

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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Similar questions

If var(X) = var(Y) = σ², cov(X,Y)= and 2Y-3 find the correlation between 2X+3
A computer while calculating the correlation coefficient between the variables X and Y obtained the following results: N= 30, ΣΧ-120, ΣΧ600, ΣΥ-90, ΣΥ250, ΣΧΥ-356. It was, however later discovered at the time of checking that it had copied down two pairs of observations: X Y wrongly as while the correct values are X Y 8 10 8 12 10 8 12 7. Find the correct value of correlation coefficient between X and Y.
The correlation coefficient between the variables x and y is r=0.78 . If Sigma x=1.56, Sigma y=2.00, x bar=12,y bar=22 Find the equations of the registration lines Y on X
A nutritionist collects data from 25 popular breakfast cereals. For each cereal, the number of calories per serving is plotted on the x-axis against the number of milligrams of sodium on the y-axis. The value of r for the resulting scatterplot is 0.83. How would the value of the correlation coefficient, r, change if sodium was plotted on the x-axis and calories plotted on the y-axis? The value of r would increase. The value of r would not change. The value of r would change to –0.83. The value of r could increase or decrease, depending of the strength of the new relationship.
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.
A sample of 20 ordered pairs (x,y) has a value for "r" of r = 0.485 Which of the following statements are true? At the 5% level of significance, a positive correlation exists At the 1% level of significance, a positive correlation exists At the 1% level of significance, a negative correlation exists At the 5% level of significance, a negative correlation exists
If x and y are two correlated variables with S.D. 0, and o, and Ox Oy correlation coefficient p, find the correlation between ax + by · and are 9. cx + dy, a, b, c, d being constants. Find k for which x+ ky and x +y uncorrelated.
2.)Use the following data where Y is the dependent and X is the independent variable: SALES EXPERIENCE Y ('000TL) X(Years) 114 61 129 135 117 6 17 11 7 12 Test the hypothesis that there is a significant correlation between Y and X at 1% level of significance.
Let X be a random variable and Y = aX + b with a ̸= 0. Show that the correlation between X and Y is either +1 or −1. State the conditions which make the correlation equal to +1.

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15. If x₁=Y1+ y2, X2 = y2 + Y3, x3 = y3+y₁, where y₁, y2 y3 are correlated variables each of which has zero mean and unit standard deviation, find the multiple correlation coefficient x₁ and the two variables X2, X2.