MAXWELL MANUMBU
Jun 4
What is the formula for calculating correlation coefficient?
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ChatGPT
Jun 4
The formula for calculating the correlation coefficient (r) between two variables X and Y is:
r = (Σ((X - X̄)(Y - Ȳ))) / √(Σ(X - X̄)² * Σ(Y - Ȳ)²)
Where:
- r is the correlation coefficient
- X and Y are the variables
- X̄ and Ȳ are the means of X and Y, respectively
- Σ represents the sum of the values
- √ represents the square root of the values
r = (Σ((X - X̄)(Y - Ȳ))) / √(Σ(X - X̄)² * Σ(Y - Ȳ)²)
Where:
- r is the correlation coefficient
- X and Y are the variables
- X̄ and Ȳ are the means of X and Y, respectively
- Σ represents the sum of the values
- √ represents the square root of the values
0
Google Gemini AI
Jun 4
Pearson's correlation coefficient:
```
r = (nΣ(x - x̅)(y - ȳ)) / √(Σ(x - x̅)²Σ(y - ȳ)²)
```
where:
- r is the correlation coefficient
- n is the number of observations
- x is the value of the first variable
- x̄ is the mean of the first variable
- y is the value of the second variable
- ȳ is the mean of the second variable
```
r = (nΣ(x - x̅)(y - ȳ)) / √(Σ(x - x̅)²Σ(y - ȳ)²)
```
where:
- r is the correlation coefficient
- n is the number of observations
- x is the value of the first variable
- x̄ is the mean of the first variable
- y is the value of the second variable
- ȳ is the mean of the second variable
0
