Asked by demeris moore on Jul 12, 2024
Verified
If the correlation between two variables is 0.496,how much of the variance has not been accounted for?
A) 24.6%
B) 49.6%
C) 50.4%
D) 75.4%
Correlation
A statistical measure that indicates the degree to which two variables fluctuate together, ranging from -1 (perfect negative correlation) to +1 (perfect positive correlation).
Variance
A statistical measure that represents the dispersion or spread of a set of data points around their mean value.
- Comprehend the calculation and meaning of the correlation coefficient and coefficient of determination.
Verified Answer
MN
mageswaran nagarajanJul 16, 2024
Final Answer :
D
Explanation :
To find the variance not accounted for, we subtract the square of the correlation coefficient from 1. The correlation coefficient is 0.496, so squaring this gives 0.496^2 = 0.246016. Subtracting this from 1 gives 1 - 0.246016 = 0.753984, which is approximately 75.4%.
Learning Objectives
- Comprehend the calculation and meaning of the correlation coefficient and coefficient of determination.