Linear correlation of two vectors?

1. How do you find the correlation between two vectors?
2. How do you find linear correlation between two variables?
3. What is linear correlation formula?
4. Is r =- 0.85 A strong correlation?

How do you find the correlation between two vectors?

If X, Y are two random variables of zero mean, then the covariance Cov[XY ] = E[X · Y ] is the dot product of X and Y . The standard deviation of X is the length of X. The correlation is the cosine of the angle between the two vectors.

How do you find linear correlation between two variables?

The correlation coefficient is determined by dividing the covariance by the product of the two variables' standard deviations. Standard deviation is a measure of the dispersion of data from its average. Covariance is a measure of how two variables change together.

What is linear correlation formula?

Correlation quantifies the direction and strength of the relationship between two numeric variables, X and Y, and always lies between -1.0 and 1.0. Simple linear regression relates X to Y through an equation of the form Y = a + bX.

Is r =- 0.85 A strong correlation?

If is between 0.85 and 1, there is a strong correlation. If is between 0.5 and 0.85, there is a moderate correlation. If is between 0.1 and 0.5, there is a weak correlation.