Part 2: Analysis of Relationship Between Two Variables

Linear Regression

Predictor and Predictand

Linear Regression

Least Square Fit

Major Assumptions of Linear Regression

Significance of the Regression Coefficients

How Good Is the Fit?

Analysis of Variance

Scattering

Correlation and Regression

Linear Correlation

Correlation and Regression

An Example

Significance Test of Correlation Coefficient

An Example

Test of the Difference Between Two Non-Zero Coefficients

Multiple Regression

Fourier Transform

How Many Predictors Are Needed?

Explained Variance for Multiple Regression

An Example

Independent Predictors