Covariance and Correlation

yozzum·2025년 1월 28일
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Statistics

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Measurement of the relationship

1. Covariance

  • Covariance is a way to classify three types of relationships between two continuous variables.
  • Only the sign(positive or negative) matters.

2. Pearson's Correlation

  • Correlation tells you how strong two quantitative variables are related.

  • It ranges from -1 to +1

  • The maximum value for correlation, 1, occurs whenever you can draw a straightline with a positive slope that goes through all of the data.

  • The confidence in how useful the relationship is, determined by p-value, depends on how much data we have.

  • The more data, the smaller p-value.

Coefficient of Determination(R-squared)

  • R-squared is the percentage of variation explained by the relationship between two variables.
  • It is simply squared version of R.

  • This means that most of the variation in the data is explained by the size/weight relationship.
  • If the value is small(1%), it means something else must explain the remaining 99%.
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