STATISTICAL TECHNIQUES AND TOOLS
CORRELATION COEFFICIENT COEFFICIENT OF DETERMINATION
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Question
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A study compared the number of years of education and a person’s annual salary. The Correlation Coefficient of the data was r = 0.913. What is the Coefficient of Determination?
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0.834
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0.887
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0.457
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0.913
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Explanation:
Detailed explanation-1: -The R-squared value, denoted by R 2, is the square of the correlation. It measures the proportion of variation in the dependent variable that can be attributed to the independent variable. The R-squared value R 2 is always between 0 and 1 inclusive. Perfect positive linear association.
Detailed explanation-2: -The coefficient of determination (R²) measures how well a statistical model predicts an outcome. The outcome is represented by the model’s dependent variable. The lowest possible value of R² is 0 and the highest possible value is 1.
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