Suppose you fit a regression model with 6 regressors. In truth none of these regressors have any impact on the dependent

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Suppose you fit a regression model with 6 regressors. In truth none of these regressors have any impact on the dependent

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Suppose You Fit A Regression Model With 6 Regressors In Truth None Of These Regressors Have Any Impact On The Dependent 1
Suppose You Fit A Regression Model With 6 Regressors In Truth None Of These Regressors Have Any Impact On The Dependent 1 (44.05 KiB) Viewed 139 times
Suppose you fit a regression model with 6 regressors. In truth none of these regressors have any impact on the dependent variable (i.e. the population coefficients are all zero). Individual t-tests on each coefficient were conducted at a 5% level of significance. What is the probability that for at least one of these tests, the null is rejected? O Exactly 0.05 since the tests are carried out at a 5% level of significance. Exactly O since the regressors have no impact on the dependent variable. Exactly 0.3 since there are 6 tests each with a level of significance of 0.05. Some value greater than 0.05.
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