Correlation and Regression

The method of Correlation is utilized to gauge the intensity and orientation of a bond between two different variables. Conversely, the process of Regression is utilized to estimate the value of a dependent variable, based on the worth of a minimum of one independent variable. These two techniques are of paramount importance in the field of data analysis as they assist in recognizing trends and forecasting results.

Finding the Linear Correlation Coefficient

Given the following pairs of data points: (2, 3), (3, 4), (4, 5), (5, 6), and (6, 7). Find the linear correlation coefficient.

Determining if the Correlation is Significant

Given a set of data with a correlation coefficient of 0.89 and a sample size of 20, is the correlation significant?

Finding a Regression Line

Given the data set {(1,3), (2,5), (3,7), (4,9)}, find the regression line.