What assumptions must be met for Pearson's Correlation Coefficient to be valid?

  • Both variables are independent
  • Both variables are measured on a nominal scale
  • Both variables are normally distributed, and there is a linear relationship between them
  • Both variables have no outliers
For Pearson's Correlation Coefficient to be valid and reliable, the following assumptions should be met: both variables should be continuous, they should be linearly related, and both variables should be approximately normally distributed. Independence of observations is also required.
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