#35 ### Question 35In order to test for the significance of a regression model involving 3 independent variables and 47 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are:- a. 47 and 3.- b. 3 and 47.- c. 2 and 43.- d. 3 and 43.### Question 36In regression analysis, an outlier is an observation whose:- a. mean is larger than the standard deviation.- b. residual is zero.- c. mean is zero.- d. residual is much larger than the rest of the residual values.### Question 37A variable that takes on the values of 0 or 1 and is used to incorporate the effect of categorical independent variables in a regression model is called:- a. an interaction.- b. a constant variable.- c. a dummy variable.- d. a logit variable.### InstructionsClick "Save and Submit" to save and submit. Click "Save All Answers" to save all answers.---This set of multiple-choice questions focuses on concepts related to regression analysis, including understanding degrees of freedom, identifying outliers, and defining dummy variables. These questions are typical in educational assessments within statistics and econometrics courses.

Note- As per requirement, giving solution for question no. 35. Given infromation- No. of independent variable k = 3 Number of observations, n = 47 We have to find the degree of freedom for numerator and denominator for the critical value of F.Degree of freedom for numerator- dfnumerator = k = 3 Now, degree of freedom for denomiantor- dfdenominator = n - (k +1) dfdenominator = 47 - (3 + 1) = 43 dfdenominator = 43 Therefore, the degree of freedom for numerator and denominator for the critical value of F are 3 and 43. Option D is the correct answer.