kindly solve this

3. (30 points) Consider the regression model y = Pot Bici+... + PTA = 6 where y is the observed values, $1, ...Ik a series of non-stochastic predictors, So, P1,...; Px unknown parameters, and e, a random error. a. What are the assumptions made when specifying the model above? b. Describe the method most commonly used to estimate the parameters in the linear regression model. c. What are the most important properties of the estimates you described in question b?d. Describe the standard procedure used to determine if one explanatory variable in a linear regression model is important. (Ho : 8; = 0). e. What variables impact the magnitude of the standard errors of the estimates A,, j = 1, .... k? How? f. What is the coefficient of determination R-? How is it used? g. Why is it essential to plot the residuals from the specified model?h. Can linear regression modeLs represent non-linear relationships between the expected response and the explanatory variables? i. Why are Linear Regression ModeLs so frequently used? When are they not appropriate? Why? Can you give an example? j. mat are outliers? What is in inuenee'? What is leverage? What dues the Cook's distance measure? 1:. What is eeleneaIity'? How can it be detected? How is its impact evaluated