(Solved): Problem 5. The data below show, for the Consumer finance company operating in 6 cities, the number ...

Problem 5. The data below show, for the Consumer finance company operating in 6 cities, the number of competing loan companies operating in the city \( (X) \), and the number per thousand of the company's loans made in that city that are currently delinquent \( (Y) \) Using the matrix approach, obtain the following: (a) Matrices \( \mathbf{Y}^{T} \mathbf{Y}, \mathbf{X}^{T} \mathbf{X}, \mathbf{X}^{T} \mathbf{Y} \); (b) vector of estimated regression coefficients b; (c) vector of residuals; (d) SSR and SSE; (e) estimated variance-covariance matrix of \( \mathbf{b} \); (f) \( s^{2}(\mathbf{e}) \).