What is the formula for the covariance of variables x and y?

What is the formula for the correlation of variables x and y?

What is the formula for the z-score of x?

What's the formula for the mean-centred variable?

What's the formula for linear regression?

Explain all variables in this formula:

x ... independent variable

y ... dependent variable

ß0 ... y-intercept

ß1 ... slope

epsilon ... error

In linear regression: What consists of ß0 and ß1?

coefficient of regression

The regression line always fits through the _______ of both variables.

The regression line always fits through the **means** of both variables.

What's the formula for the slope of a linear regression?

What's the formula for the y-intercept of a linear regression?

In linear regression: What's the formula for Var(epsilon) and where can we derive this formula from?

What's the formula of the coefficient of determination in linear regression?

What is the mathematical connection between correlation and coefficient of determination?

Four examples of how a regression can look like:

How does a log function / Sigmoid-curve look like?

How could a two point regression look like?

Simply put, what is the formula for variance?

S²_{x} = 1/n * ∑ (x_{i} - xˉ)²

Simply put, what is the formula for standard deviation?

Sx = √(Sx²)

Simply put, what is the formula for correlation?

rxy = Sxy / SxSy

Simply put, what is the formula for covariance?

S_{xy} = 1/n*∑(x_{i} - x¯)(y_{i} - y¯)