Answer :
(c) R2 = 0.98 matches Scatter diagram Response Explanatory.
Which coefficient of determination (R-squared) value corresponds to the scatter diagram where one variable is the explanatory variable and the other variable is the response variable?
In a scatter diagram, the coefficient of determination (R-squared or R2) represents the proportion of the variance in the response variable (dependent variable) that can be explained by the variance in the explanatory variable (independent variable). R2 values range from 0 to 1, where 1 indicates a perfect fit of the data to the regression line, and 0 indicates no linear relationship.
R2 = 1 (Response Explanatory):
When R2 = 1, it means that all the data points perfectly lie on a straight line, with no scatter. The explanatory variable can fully explain the variation in the response variable, representing a strong and perfect positive linear relationship.
R2 = 0.27 (Scatter diagram Response Explanatory):
When R2 = 0.27, it indicates that only 27% of the variance in the response variable can be explained by the variance in the explanatory variable. This value represents a weak positive linear relationship between the variables.
R2 = 0.98 (Scatter diagram Response Explanatory):
When R2 = 0.98, it indicates that 98% of the variance in the response variable can be explained by the variance in the explanatory variable. This high R-squared value represents a strong and almost perfect positive linear relationship between the variables.
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