In two sets of variables X and Y with 50 observations each, the following data were observed. X= 10, S.D. of X=3, Y=6, S. D. of Y= 2. Coefficient of correlation between X and Y is 0.3. However, on subsequent verification it was found that one value of X (= 10) and one value of Y (= 6) were inaccurate and hence weeded out. With remaining 49 pairs of values, how is the original value of correlation coefficient affected?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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Show your work according to NCLT rule.
In two sets of variables X and Y with 50
observations each, the following data were
observed.
X= 10, S.D. of X=3, Y=6, S. D. of Y= 2.
Coefficient of correlation between X and
Y is 0.3. However, on subsequent
verification it was found that one value
of X (= 10) and one value of Y (= 6) were
inaccurate and hence weeded out. With
remaining 49 pairs of values, how is the
original value of correlation coefficient
affected?
Transcribed Image Text:Show your work according to NCLT rule. In two sets of variables X and Y with 50 observations each, the following data were observed. X= 10, S.D. of X=3, Y=6, S. D. of Y= 2. Coefficient of correlation between X and Y is 0.3. However, on subsequent verification it was found that one value of X (= 10) and one value of Y (= 6) were inaccurate and hence weeded out. With remaining 49 pairs of values, how is the original value of correlation coefficient affected?
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