Asked by Hermi Aiko Lupac on Jul 06, 2024
Verified
If a simple Pearson correlation value = 0.512,what percentage of variance is accounted for?
A) 26%
B) 49%
C) 51%
D) 74%
Pearson Correlation
A measure of the linear correlation between two variables X and Y, giving a value between -1 and 1.
Variance
A measure of variability that describes the spread of a data set by taking the average of the squared differences from the mean.
- Learn the procedure and significance of analyzing the correlation coefficient and the coefficient of determination.
Verified Answer
ZK
Zybrea KnightJul 07, 2024
Final Answer :
A
Explanation :
To find the percentage of variance accounted for by a Pearson correlation, you square the correlation coefficient. So, 0.5122=0.2621440.512^2 = 0.2621440.5122=0.262144 , which is approximately 26%.
Learning Objectives
- Learn the procedure and significance of analyzing the correlation coefficient and the coefficient of determination.