How can you check for the independence assumption in simple linear regression?

  • By calculating the mean of the residuals
  • By calculating the standard deviation of the residuals
  • By checking the correlation coefficient
  • By examining a scatter plot of the residuals
The independence assumption in simple linear regression can be checked by examining a scatter plot of the residuals. The residuals should be randomly scattered with no clear pattern. If there is a clear pattern (like a curve or a trend), it indicates that the residuals are not independent and the assumption of independence is violated.
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