The adjusted r^2 for the quadratic model is 0.9765 and the adjusted r^2 for the simple regression model is 0.94567.
What does this imply
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This implies that the quadratic model explains a higher proportion of the variability in the data compared to the simple regression model. The adjusted r^2 value is a measure of how well the model fits the data, taking into account the number of predictors in the model. A higher adjusted r^2 indicates a better fit. Therefore, the quadratic model is a better fit for the data in this case.
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