In the presence of autocorrelation, ordinary lease squares (OLS) produce unbiased estimates and hence t tests and F tests are still valid. One problem with the use of a lagged dependent variable as an explanatory variab that it always gives rise to autocorrelation.
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- 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2Prove the half of Theorem 3.3 (e) that was not proved in the text.See image for question introduction. Conduct a test of the null hypothesis H0: µ1 = µ2 = µ3 = µ4 = µ5 and state a conclusion formulated in terms of Ha here for feed rate groups.