Please answer each of the following questions in detail and provide examples for better clarity wherever applicable. Provide in-text citations. In answering the following questions please include choice of significance level and the effect of p values

Explain the linear multiple regression model, the independent variables and the dependent variable, assumptions of the model, as well as the objectives

Given the data, what approach is taken to construct the model?

Explain the effect of multicollinearity in multiple regression, and how multicollinearity is detected?

Show that the estimates of the coefficients are unbiased estimates of actual values.

Explain the hypotheses on coefficients of the regression and how the results of testing these hypotheses are interpreted about significance of these coefficients? Include both unidirectional and bidirectional situations

How do you interpret the effect of significant coefficients?

How the distribution of the observed residuals of the constructed model are tested for normality?

What is the coefficient of determination, and what is its significance?

Why the adjusted coefficient of determination is used as an alternative assessment

• How can the regression model be used for prediction?