Write the formula for Pearson correlation coefficient

Write the formula for covariance between X and Y

Cov(X, Y) = Σ((Xi - X̄)(Yi - Ȳ)) / (n - 1)

How is the coefficient of determination (R^2) calculated from a simple linear regression model?

R^2 = 1 - (SSR/SST), where SSR is the sum of squared residuals and SST is the total sum of squares

Write the formula for normal distribution PDF

Normal distribution PDF: 𝑋/(σ√2π) * e^(-(X-μ)^2/(2σ^2))

What is the formula for calculating the mutual information between two discrete random variables X and Y?

I(X;Y) = ∑∑ P(x,y) log(P(x,y)/(P(x)P(y)))

Write the formula for Mahalanobis distance

D^2 = (x - μ)^T Σ^(-1) (x - μ)

Write the equation for cross-entropy loss

H(y, p) = -Σ(y_i * log(p_i)) for all i