Asked by Kaitlin Ptacek on Jul 07, 2024

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If a simple Pearson correlation value = 0.685,what percentage of variance is accounted for?

A) 35%
B) 47%
C) 68%
D) 69%

Pearson Correlation Value

A statistic that measures the linear correlation between two variables, indicating the strength and direction of their relationship.

Variance

A measure of the dispersion or spread of a set of values, calculated as the average of the squared deviations from the mean.

  • Comprehend the fundamental principles and computational methods associated with correlation coefficients.
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KG
Kanika GroverJul 14, 2024
Final Answer :
B
Explanation :
To find the percentage of variance accounted for by a Pearson correlation, you square the correlation coefficient. So, 0.6852=0.4692250.685^2 = 0.4692250.6852=0.469225 , which is approximately 47%.