If the data points were randomly scattered, the R-square value would be closer to 1 than 0.

Question

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If the data points were randomly scattered, there would be no linear relationship between the variables, leading to a lower R-square value which would be closer to 0 than 1. R-square measures the proportion of variability in the dependent variable that is explained by the independent variable, so a random distribution of data points would not result in a strong fit and would have a low R-square value.

If the Data Points Were Randomly Scattered, the R-Square Value