The analysis of two variables indicates a correlation with r = -0.85. Calculate, to 1 decimal place, the percentage of variation in the independent variable that is not accounted for by the dependent variable.
A) 85.0%
B) 72.3%
C) 56.3%
D) 27.8%

Question

Quizplus · Accepted Answer

The percentage of variation not accounted for by the dependent variable is found by subtracting the coefficient of determination (r^2) from 1. Here, r^2 = (-0.85)^2 = 0.7225. Thus, 1 - 0.7225 = 0.2775, or 27.75%, which rounds to 27.8%. However, the correct interpretation is that 72.25% of the variation in the dependent variable is accounted for by the independent variable, meaning 27.75% is not accounted for, which is closest to option D, indicating a mistake in the initial selection and explanation. The correct answer should reflect the unaccounted variation directly related to the question's phrasing, which was misinterpreted in the initial response.

The Analysis of Two Variables Indicates a Correlation with R