Asked by Alexi Regner on May 31, 2024

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A researcher finds that the correlation between two variables is +.63, but this correlation drops to +.20 when a third variable is partialed out. In this case, the researcher should conclude that the third variable:

A) is not a factor in the correlation.
B) increases the accuracy of prediction.
C) is responsible for the original correlation between the variables.
D) does not influence the relationship between the two variables.

Partialed Out

A statistical process of removing the effect of one or more variables to better understand the relationship between other variables.

Correlation Drops

Occurs when the strength or consistency of the relationship between two variables decreases, signifying a change in how closely they are related.

Original Correlation

The initial statistical relationship observed between two variables before any manipulation or control is applied.

  • Interpret the impact of controlling a third variable on correlation coefficients.
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IH
Ivelisse HernandezJun 03, 2024
Final Answer :
C
Explanation :
The fact that the correlation drops when the third variable is partialed out suggests that the third variable is responsible for the original correlation between the two variables. This suggests that there may be some spurious (or indirect) relationship between the two variables that is mediated by the third variable, meaning that the two variables may not have a direct causal relationship with each other. It is therefore important to consider the role of this third variable when interpreting the relationship between the two variables.