For the gasoline data given on the Springer website, perform the tests described in Table 5.4. Table

For the gasoline data given on the Springer website, perform the tests described in Table 5.4.

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Table 5.4 Testing for serial correlation and individual effects Null hypothesis Ho Alternative hypothesis HA 1a. 1b. 2. 3a. 3b. 4a. 4b. 5a. 5b. 6 7 H: = 0; X = 0 HP : 0=0; p=0 H:0=0 H:A=0 H: p=0 H: X=0 (0) H:p=0 (0) HA=0 (fixed) H: p=0 (u; fixed) H6 : AR(1) H7 : MA(1) oor #0 oor p = 0 X>0 P>0 X> 0 (0 > 0) p> 0 (00) > > 0 ( fixed) p> 0 (; fixed) MA(1) AR(1) Test statistics Asymptotic distribution under Ho LM LM LM LM3 LM3 LM4 LM4 LM5 LMS BGT1 BGT2 X X N (0, 1) N (0, 1) N (0, 1) N (0, 1) N (0, 1) N (0, 1) N (0, 1) N (0, 1) N (0, 1)