Question 36
Domain 2 — Data, Machine Learning, and Model DevelopmentThe R2 notation can range from 0-100%. An R2 value of 0.845 signifies which type of a relationship?
Correct answer: B
Explanation
R2 measures how well a linear model explains the variation in the data, and values closer to 1 indicate a stronger linear fit. An R2 of 0.845 means 84.5% of the variation is explained, which indicates a strong positive linear association between the variables.
Why each option is right or wrong
A. Neutral association
B. Positive linear association
In simple linear regression, the coefficient of determination is defined as R² = SSR/SST and is reported on a 0 to 1 scale, or 0% to 100% when expressed as a percentage. An R² of 0.845 means 84.5% of the total variation in the response is accounted for by the fitted linear model, which indicates a strong linear relationship; the positive direction comes from the underlying regression slope being positive, not from R² itself.
C. Negative association