The regression equation = 3,698 + 2,538X gives an R²value of 0.2645.This means that ________. A)X and Y have a very high level of correlation B)the percentage of variation in Y that is attributed to random factors is 26.45% C)26.45% of the variation in Y can be explained by X D)a one-percent change in Y will lead to a 26.45% change in X

Question

Quizplus · Accepted Answer

An R² value of 0.2645 means that 26.45% of the variation in Y can be explained by X. Therefore, choice C is the best option. Option A is incorrect because the level of correlation is not provided. Option B is incorrect because it refers to random factors, which are not related to the given regression equation. Option D is incorrect because it implies a causal relationship between X and Y, which is not provided by the regression equation alone.

The Regression Equation = 3,698 + 2,538X Gives an R2

The Regression Equation = 3,698 + 2,538X Gives an R²