Consider the model A data set with 20 observations is available. The application
ID: 3057829 • Letter: C
Question
Consider the model A data set with 20 observations is available. The application of least squares gives the estimated regression equation: y = 110.27 + -3.2909 x2 + 1.3241 x3 + R-square 0.8414 = estimated error variance = 40.14 The estimated variance-covariance matrix of the least squares estimates is: bl b2 b3 bl b2 b3 145.401 35.357 -0.07607 9.214 0.07961 0.01954 Answer the following questions. Round off your answers to two decimal places. Question 1: Find the total variation (SST), unexplained variation (SSE) and explained variation for this model (SSR). Question 2: Test the joint hypothesis (a) Find the F-test statistic. (b) Find the 5% critical value for the test statistic. (c) What decision do you make? Enter 0 for not rejecting the null hypothesis and 1 for rejecting.Explanation / Answer
Consider the model A data set with 20 observations is available. The application of least squares gives the estimated regression equation: y = 110.27 + -3.2909 x2 + 1.3241 x3 + R-square 0.8414 = estimated error variance = 40.14 The estimated variance-covariance matrix of the least squares estimates is: bl b2 b3 bl b2 b3 145.401 35.357 -0.07607 9.214 0.07961 0.01954 Answer the following questions. Round off your answers to two decimal places. Question 1: Find the total variation (SST), unexplained variation (SSE) and explained variation for this model (SSR). Question 2: Test the joint hypothesis (a) Find the F-test statistic. (b) Find the 5% critical value for the test statistic. (c) What decision do you make? Enter 0 for not rejecting the null hypothesis and 1 for rejecting.