Question 1 1.0!1.0 point {graded} True or False: If you have only one regressor, the default Ftest statistic and ttest statistic reported by R for the coefficient on that regressor will be equivalent. Here "equivalent" means whether you derive the same conclusion of the test. llntutievely, think whether there is a relationship between the t and the F statistics} 1/ Submit You have used 1 of1 attempt Show answe' Question 2 0E1 point [graded] Suppose you are interested in the effect of education on wages. To this goalI you run the following regression in R: 10g (wageh = a + yeara of educationi + E;- where'i indexes the individuals in your sample. The reported ttest statistic on ,3 is 2.09, and the reported coefficient is ,3 = 0.10. Furthermore, you know your sample size is large enough for the tdistribtion to be very close to a normal distribution. What can you conclude given this information? Q You reject the null that l3 = U at the 95% confidence level. (Q You are 95% sure that is positive. 0 You are 95% sure that 59 = U. Q You are 95% sure that ff = 0.10. Q You accept the null that = U at the 95% confidence level. You have used 1 of 2 attempts 53"9 Question 1 (LUNA) point {graded} Let 0'11ng denoted the Neyman standard error, and 001,5 denote the standard error given by your OLS regression. Which of the following statements are true? Select all that apply. D If your sample is very large, 0mm\" is close to 5015 . E] If your sample is very large, \"NW\" 7E 601,5 you should use 501,5 D If the treatment group is much smaller than the control group, it's still true that \"New\" = (701.5. E] If the treatment and control group are of the same size, and your sample size is very small, O'Noyman = 001,5. 5meit You have used 0 of 2 attempts Save Suppose you have a categorical variable, which denotes the treatment group to which individual J'has been assigned. You are interested in testing whether providing people with incentives to stay in school will help them stay in school, and also whether providing people with information about the importance of schooling will get them to stay in school longer. - Ti = 0 if individual 'i has been assigned to the control group. - T; = 1 if individual i has been assigned to a treatment group that receives incentives for staying in school. - T15 = 2 if individual 1' has been assigned to a treatment group that receives information on the importance of staying in school. - Ti = 3 if individual 1' has been assigned to a treatment group that receives both incentives and information Question 1 none point {graded} True or False: The problem with including the categorical treatment variable as described above is that it will be collinear and Ft will refuse to run your regression. Submit You have used 0 of 'I attempt Save Question 2 O point [graded] True or False: Suppose you encode your treatment variable T, and generate a set of dummy variables Ti forj = 0, 1, 2, 3. where Tj = 1 if T = j and Cl otherwise. If you include all 4 indicators as regressors in your model you will have a collinearity problem. (Note: The model includes an intercept.) Submit You have used 0 of 'I attempt Save Question 3 0.0]'L0 point [graded] Keeping in mind that you are interested in the effect of these different treatments on education, which of the dummy variables would make sense to exclude from your model? OT\" 0T1 OT2 0T3 Smei' You have used 0 of 2 attempts
