In: Statistics and Probability
I need the answer explained and computer typer so I can read it! thank you
For a simple linear regression model yi= α + βxi + ui , i = 1
1- Suppose researchers want to know the effect of elementary school class size on students’ math scores(total score is 100), intuitively they think there exists a negative linear relationship between class size and students’ math scores. The researchers want to know the marginal effect of class size on student’s math scores.
1-1) Based on the background information, design an linear regression model for this research question, and briefly explain your dependent variable, independent variable, and the meaning of the parameters.
1-2) Briefly explain the assumptions of the classical linear regression model (CLRM)
1-3) Suppose the assumptions of the CLRM are satisfied, what properties of your estimators should be expected to have?