ample 8•10. A computer while calculating correlation coefficient between two variables X and Y from 25 pairs ofobservations obtained the following results.n = 25,ΣχΕ 125,Ex2= 650,"Ey = 100,Σy-460ΣΧΥ-508correctlyProve that theIt was, however, discovered at the time of checking that two pairs of observations were copied They noere taken as (6, 14) and (8, 6) while the correct values were (R, 12) and (6,correct value of the correlation coefficient should be 2/3.

Given that We have to find the corrected correlation coefficient

Answered: ample 8.10). A computer while…

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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A computer while calculating correlation coefficient between two variables X and Y from 25pairs of observation obtained the following results: n=25, 2X=125, EX2 = 650, Y=100,Y2= 460, 2XY=508. But on subsequent verification it was found that he had copied downtwo pairs as (6,14) and (8,6) while the correct values were (8,12) and (6,8). Obtain the correctvalue of correlation coefficient?
While calculating the coefficient of correlation between two variables x and y from 25 pairs of observation, obtained the following results:n= 25, ∑x= 125, ∑x2 = 650, ∑y= 100, ∑y2= 460, ∑xy= 508At the time of checking, it was observed that two pairs of observations were incorrect. Following tables give detailed information about incorrect observation used and correct observation which should have been used. Find the correct value of ‘r’. Give detailed explanations with solution and interpretation. Incorrect observation used : x 6 8 y 14 6 Correct Observation used : x 8 6 y 12 8
Q1 - Returns on stocks X and Y are listed below: Period 1 2 3 4 5 6 7Stock X 6% 5% -2% 10% 3% 8% -4%Stock Y 11% 7% 10% -2% 3% 5% -1% What is the correlation of returns on the two stocks?Please round your answer to the nearest hundredth.Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
Suppose Z ~ N(0,1). What is the correlation between Z and |Z|
1. Move the slider so that the correlation coefficient is r = -0.9. At an x-axis value of 40, which of the following is the approximate range (lowest to highest) of the y-values?2. Now move the slider so that the correlation coefficient is r = 0.15. At an x-axis value of 40, which of the following is the approximate range (lowest to highest) of the y-values?
In two sets of variables X and Y with 50 observations each, the following data were observed X = 10, SD of x = 3, y =6 , SD of x = 2 Co efficient correlation between X and Y is 0.3 . however on subsequent verification it was found that one value of X (=10) were in accurate and hence weeded out. With remaining 49 pairs of values, how is the original value of correlation coefficient affected.
Q1 - Returns on stocks X and Y are listed below: Period 1 2 3 4 5 6 7Stock X 6% 5% -2% 10% 3% 8% -4%Stock Y 11% 7% 10% -2% 3% 5% -1% What is the correlation of returns on the two stocks? Please round your answer to the nearest hundredth.
The rest of the critical values for correlation coefficient for 29 is 0.367 and for 30 is 0.361 plug 29 and 30 to the picture I sent for the rest of the table
1. If someone owns an electric car it is represented by a one and if they don’t it is represented by a zero. If someone owns an electric car and their yearly salary in pounds for four people are (0,80000), (0, 17000), (0, 37000) and (1, 58000) calculate the correlation coefficient.
6. The coefficient of correlation between x and y is r = 0.59. Calculate the coefficient of determination.
If there is a very strong correlation between two variables, then the correlation coefficient must beA. any value greater than 1.B. much smaller than 0, if the correlation is negative.C. much larger than 0, regardless of whether the correlation is negative or positive.D. None of these.
8/20 Compute the correlation coefficient and determine whether there is a linear relation between X and Y.

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