Please, no use of excel. Show all the calculations.

Conduct a regression analysis on the following data set involving a group of 4 participants. Determine whether scores on Variable X (predictor) are significantly predictive of scores on Variable Y (criterion).

Variable X Variable Y

Person 1 38 20

Person 2 25 16

Person 3 29 18

Person 4 20 14

Calculate the full regression equation, including the regression coefficient and intercept.