3. Calculate Karl Pearson's coefficient of correlation from the following data andinterpter s value:The coefficient of correlation is said to be a measure of covariance betweentwo series. The covariance of two series X and Y is written as :Covariance =. Σχυwhere x and y stand for deviations of X and Y series from their respectivemeans.

Answered: Image /qna-images/answer/237ec1ab-f15a-4e2b-8e0c-3563148e0d1e.jpg

Answered: 3. Calculate Karl Pearson's coeficient…

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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The correlation between X and Y is r = 0.35. Based on thisr value, is this a good equation to use for predictions of other events within the range of the data? O Yes, the correlation is strong. cannot be determined O No, the correlation is too weak to give accurate estimates. O No, the correlation is too strong. O Yes, there is a positive correlation.
Example 11. Find the mean values of two random variables x and y and the correlation coefficient between them when the two lines of regression are given by: 5x + 7y – 22 = 0 and 6x + 2y – 20 = 0. If the variance of y is 15, find the standard deviation of x. -
Each of the following graphs show the relationship between two variables. Determine the Pearson product-moment correlation coefficient (r) for each graph
Standardising the variables before performing canonical correlation analysis affects which of the following? A. the coefficients to construct the variates (i.e., the a in Z₁ = a¹ X(1) and similarly for X (2)) B. the canonical correlations C. the conclusions of the tests for the significance of the canonical correlations More marks will be given the closer you are to the correct answer. Select one: O None O A only O B only O C only O A and B only O A and C only OB and C only O A, B, and C True or False? Unlike ordinary correlation, canonical correlation can detect and represent nonlinear relationships between variables. Select one: O True O False
Given : Total of the product of deviations of X and Y series 3,044 Number of pairs of observations = 10 Total of the deviations of X series =-170 boteln Total of the deviations of Y series = -20 Total of the squares of deviations of X series = 8,288 Total of the squares of deviations of Y series = 2,264. Find out the coefficient of correlation when the assumed means of X series and Y series are 82 and 68 respectively.
TF.5 A small hotel has 5 rooms. Let X be the number of occupied rooms on any given day. The pmf p(x) of X is given in the table. x 0 1 2 3 4 5 p(x) .05 .05 .20 .25 .30 .15 Find the means E(X) and E(X2) , the variance V(X) and the standard deviation SD(X) of X.
. In a trivariate distribution. o, = 3, o, = 4, o, = 5 rn = 0.4, r, = 0.6 r,, = 0.7 Determine the regression equation of X. on X, and X, if the variates are measured frem their means.
Prove the following
A set of n = 5 pairs of X and Y values has SSX = 16, SSY = 4 and SP = 2. For these data, what is the Pearson correlation? Hint: Look VERY carefully at your formula sheet, especially at the alternative definitional formula for r (wow, I can't believe I actually told you that). a. r = 64/64 b. r = 2/8 c. r = 2/64 d. r = Ö2/8

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