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Assessing the goodness of fit of a regression line involves considering several things, and no single...

Assessing the goodness of fit of a regression line involves considering several things, and no single characteristic of data is sufficient for a good assessment. Consider the characteristics below. How does each contribute to an assessment of fit? That is, for each piece of information, what characteristic would indicate a "good" best-fit line?

  1. The shape of the scatter plot
  2. The correlation coefficient
  3. The standard deviation of the residuals
  4. The coefficient of determination
Math   Statistics-And-Probability   
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