Consider the joint hypothesis Ho : B2 = 0, 63 = 0The results of the restricted model are:Source IdfNumber of obs, =EC 1,Prob > FR-squaredAdi R-squared ul6918Root MSEMSModel Ju16497 7598Residual E EYA392390) - 878.830.00000.6926116497.7598%3D390 18.7723941Total 23818.9935.391 60.9181419= 4.3327Coef.Std. Err.P>|t|[95% Conf. Interval]wat.007647346.21652.000258.7986725-29.6557.870.0000.000008154544.64628007140247.78677consTesting this hypothesis at 5% critical level, we conclude that:The number of cylinders and engine size are jointly insignificant because the F-stat is greater than the critical value.The number of cylinders and engine size are jointly significant because the F-statis smaller than the critical value.The number of cylinders and engine size are jointly significant because the F-statis greater than the critical value.The number of cylinders and engine size are jointly insignificant because the F-stat is smaller than the critical value. Consider a model of fuel efficiency of cars that relates miles per gallon(mpg) to the number of cylinders (cyl), engine size (eng) and weight (wgt):mpg = B, + B2cyl + Bzeng + B4wgt + e%3DNote: Miles per gallon (mpg), a measure of fuel efficiency, is the average numberof miles a car can travel on one gallon of fuel. Cars that are fuel efficient canachieve higher miles per gallon. Cars that have a larger number of cylindersusually have larger engines and are heavier.The estimated results are below:Source |SSdfMSNumber of obsEC 3,Prob > FR-squaredAdj R-squared ab970Root MSE392388) = 300.760.00000.6993Model J16656.4443Residual 7162.549165552.1481388 18.4601782Total J23818.993539160.91814194.2965Coef.Std. Err.P>|t|[95% Conf. Interval]sylengwat_cons.2677968-.012674-.005707944.37096.4130673.008250100071391.480685-0.65-1.54-8.0029.970.5170.1250.0000.000-1.079927.0288944007111541.45979.5443336.0035465.004304347.28213Consider the joint hypothesis Ho: 2 = 0, 63 = 0

We have the following null and alternative hypothesis as follows: The F -statistic is obtained as,…

der the joint hypothesis Ho B2 = 0, B3 = 0 %3D The results of the restricted model are: Source | df Number of obs, = ES 1, Prob > F R-squared MS 392 390) - 878.83 Model Jt 1 16497.7598 390 18.7723941 7598 0.0000 %3D Residual EAWEE 0.6926 %3D Adi R-squared aulu6918 Total Lm23818.9935. 391 60.9181419 Root MSE - 4.3327 Coef. Std. Err. I P>|t| (95% Conf. Interval] wat. cons -.0076473 46.21652 .000258 .7986725 -29.65 0.000 57.87 0.000 -.0081545 44.64628 -.0071402 47.78677 Testing this hypothesis at 5% critical level, we conclude that:

der the joint hypothesis Ho B2 = 0, B3 = 0 %3D The results of the restricted model are: Source | df Number of obs, = ES 1, Prob > F R-squared MS 392 390) - 878.83 Model Jt 1 16497.7598 390 18.7723941 7598 0.0000 %3D Residual EAWEE 0.6926 %3D Adi R-squared aulu6918 Total Lm23818.9935. 391 60.9181419 Root MSE - 4.3327 Coef. Std. Err. I P>|t| (95% Conf. Interval] wat. cons -.0076473 46.21652 .000258 .7986725 -29.65 0.000 57.87 0.000 -.0081545 44.64628 -.0071402 47.78677 Testing this hypothesis at 5% critical level, we conclude that:

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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