A computer while calculating correlation coefficient between two variables X and Y from 25 pairs 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 down two pairs as (6,14) and (8,6) while the correct values were (8,12) and (6,8). Obtain the correct value of correlation coefficient?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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A computer while calculating correlation coefficient between two variables X and Y from 25
pairs 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 down
two pairs as (6,14) and (8,6) while the correct values were (8,12) and (6,8). Obtain the correct
value of correlation coefficient?

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