In a p-variate distribution, all the total (order zero) correlation coefficients are equal toP*0. Let P, demote the partial correlation coefficient of order k and R, be the multiple correlationcoefficient of one variate on k other variates Prove thatk po²1(1)A-A-1 =-PxPx-11+ (k-1) poand(iii) R2

Answered: Image /qna-images/answer/3b2bb040-e5af-4da2-8407-fa4c90947a1d.jpg

Answered: in a poariate distribution, all the…

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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Q5. (a) For what range of values can the coefficient of correlation of a sample of 52 pairs be considered significantly different from zero at the 1% level of significance? (b) Do the following for the data Days after emergence, X Average dry matter Conventional, Y, Yield (g'plant) Improved, Y2 9. 35 52 170 270 49 50 71 180 91 250 270 3 10 104 Compute the coefficients of correlation between X and Y1, Yi and Y2, and X and Y2 Compute coefficients of determination between X and Y 1, and X and Y2. Interpret these coefficients. ii) iii) Test the hypothesis that the population correlation coefficient between Yi and Y: is 0.80 against the alternative that it is not. |Simple Regression & Correlation]
A researcher obtains a Pearson correlation of r= 0.60 for a sample of n= 6 pairs of X and Y scores. If the researcher tests the significance of the correlation . What value will be obtained for the t statistic?
3 - x and 23 ; 88 76 ; 305 27 ; 105 64 ; 240 12 ; 50 51 ; 205 33 ; 120 50 ; 104 When regression analysis is performed according to the given x and y values (y = ax + b), which one is correlation coefficient A) 0.9291 B) hiçbiri/none of them C) -0,997 D) -0,6790 E) 0,2421
Q2) The following data represents the results of an experimental test, if the relation between variables take the form y=ae^(bvx) y = aeb√x X 4 7 12 15 24 y 13 10 9 7 4 * the correlation coefficient of the above (2 relation 0.9927 0.9727 0.9772 0.9977 none of all above
Q22
Suppose a friend of yours computes a correlation coefficient of +1.10 and comes to you for advice as to how to interpret it. What would you tell your friend?
A computer while calculating the correlation co-efficient between the variables X and Y obtained the following values. N = 25 )X= 125 SX2 = 650 2y= 100 EY2 = 460 EXY = 508 It was, however, later on discovered at the time of checking that it had copied down two pairs of observations as : X Y 14 8 While actual values were Y 12 8 Obtained 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
The following data show the number of class sessions missed during a semester of SOC221 and the final grade for a sample of 8 students selected at random. Number of Sessions Missed Final Grade (x) (y) 0 96 2 88 12 68 6 91 8…
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 computer while calculating correlation coefficient between two variables x and y from 25 pairs of observations obtained the following results. N= 25, Σ 125, Σy = 100 Σεν-508, Σ650, Σν.- %3D = 460 It was, however, discovered at the time of checking that two pairs of observations were not correctly copied. They were taken as (6, 14) and (8, 6) while the correct values were (8, 12) and (6, 8). Prove that the correct value of the correlation coefficient should be 2/3.
(d) Does a linear relation exist between the speed at which a ball is hit and the distance the ball travels? The variables speed at which the ball is hit and the distance the ball travels are positively associated because r is positive and the absolute value of the correlation coefficient is greater than the critical value ( ) (Round to three decimal places as needed.)

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