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Given: The paired sample data of the heights of mothers and their children resul

ID: 3316630 • Letter: G

Question

Given: The paired sample data of the heights of mothers and their children result in a linear correlation coefficient very close to 0 Conclusion: Taller mothers tend to have taller children. Describe the error in the stated conclusion A With a linear correlation coefficient very close to 0, we should conclude that there is not a linear correlation, so there does not appear to be a correlation between height of mothers and children as e conclusion incorrectly suggests O B. Alinear correlation coefficient very close to 0 implies that there is a linear correlation between the averages, but a correlation between the averages does not imply a correlation between individuals as the conclusion incorrectly suggests. C. A linear correlation coefficient very close o 0 imp es hat there is a linear correlation, but it could be a negative correlation nstead o a positive correlation as he conclusion incorrect y suggests 0 D. Correlation does not imply causality as the conclusion incorrectly suggests.

Explanation / Answer

Here we have given that

r= linear correlation coefficient close to zero

we know that

r is lies between -1 to 1

when it is close to -1 then there is negative correlation observed and if it is close to 1 then strong correlation is observed and if it is close to zero (0) then there is no correlation is observed between two variables.

and based on r correlation we does not take any decision or conclusion.

And

we know that correlation does not imply causality as the conclusion incorrectly suggests.

that is here option D is correct

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