# When Y is a linear function of X then the correlation coefficient between X and Y is?

## When Y is a linear function of X then the correlation coefficient between X and Y is?

The size of |r| indicates the strength of the linear relationship between x and y: If |r| is near 1 (that is, if r is near either 1 or −1) then the linear relationship between x and y is strong. If |r| is near 0 (that is, if r is near 0 and of either sign) then the linear relationship between x and y is weak.

What are the 5 types of correlation?

Types of Correlation:

• Positive, Negative or Zero Correlation:
• Linear or Curvilinear Correlation:
• Scatter Diagram Method:
• Pearson’s Product Moment Co-efficient of Correlation:
• Spearman’s Rank Correlation Coefficient:

When there is no correlation between X and Y then?

A negative correlation implies a negative relationship between X and Y: as X increases, Y decreases. A correlation of zero implies that there is no linear relationship between X and Y (see below for details).

### What is the correlation between X and Y in regression?

By design, we have perfect correlation of x and y: However, when we do a regression, we are looking for a function that relates x and y so the results of the regression coefficients depend on which one we use as the dependent variable, and which we use as the independent variable.