Regression analysis is a statistical tool used for the examination of relationships between variables. Linear regression analysis is used to estimate the strength and the direction of the relationship between two linearly related variables.

Explain the differences between the regression model, the regression equation, and the estimated-regression equation. Discuss the application of regression analysis in business decision making. Give examples on how the regression analysis can be used in business.

Problem 6: Using the Cayley Hamilton Theorem, compute the state transition matrix ed for the characteristic matrix, 0 0 A=0 -4 3 -1 -1 -2Use Multivariate Transformations for problems 7 - 8: 7. (10 marks) The joint density of X and Y is given as 1 , 0