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= 508 At 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

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= 508 At 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

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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Question

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= 508

At 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

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

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