I need to see how you work through this problem, please! Suppose that X 1 , X 2 , and X 3 are potential predictor variables in a linear regression model used to predict Y with n=30 observations. Use...

I need to see how you work through this problem, please! Suppose that X1, X2, and X3 are potential predictor variables in a linear regression model used to predict Y with n=30 observations. Use the given SSE values in the following table to answer the questions below. SSE(X1) = 1369.40SSE(X1, X2) = 1369.37SSE(X1, X2, X3) = 1357.04SSE(X2) = 4191.80SSE(X1, X3) = 1358.28SSE(X3) = 2800.50SSE(X2, X3) = 2778.69 The notation, for example, SSE(X1, X2) means the sum of squares for a multiple regression model that includes X1 and X2 as predictors (and does not include X3). Calculate SSR(X3|X1). Show your work. Explain in words what is measured by the quantity calculated in the previous part. Calculate SSR(X1|X2, X3). Show your work. Explain in words what is measured by the quantity calculated in the previous part. Consider the “full” model: Y = ß0 + ß1 X1 + ß2 X2 + ß3 X3 + e. What is then the “reduced” model associated with the null hypothesis H0: ß2 = ß3 = 0? Calculate the value of an F-statistic for testing H0: ß2 = ß3 = 0 for the model: Y = ß0 + ß1 X1 + ß2 X2 + ß3 X3 + e. It is not necessary to carry out the test – just calculate the value of F. Show your work. (Hint: Use the general linear F-test.) Calculate the value of the coefficient of partial determination R2Y,1|2. Write a sentence that interprets the value calculated in the previous part.