Question:

(a) Write down the Classical Linear Regression Model (CLRM) and explain its assumptions in detail.

(b) The following data relating to information collected on a random sample of banks are presented in an anonymous manner.

The investigator wishes to use regression analysis to find out whether bank profitability is driven by credit.

(i) Estimate the intercept and slope parameters of the regression model.

(ii) Calculate the goodness-of-fit.

(iii) Conduct hypothesis testing to inquire whether credit is a significant regressor for profit.