question archive Assume that there is a population regression model y = β0 + β1x1 + β2x2 + β3x3 + u and that the model satisfies assumptions MLR1 through MLR5
Assume that there is a population regression model y = β0 + β1x1 + β2x2 + β3x3 + u and that the model satisfies assumptions MLR1 through MLR5
Subject:EconomicsPrice: Bought3
Assume that there is a population regression model
y = β0 + β1x1 + β2x2 + β3x3 + u
and that the model satisfies assumptions MLR1 through MLR5. Using a random sample of size 935 from the population and Stata software, you estimate an OLS regression with y as the dependent variable and x1, x2 and x3 as the independent variables.
Indicate without explanation whether each of the following statements is true (T) or false (F):
_____a. If the R-squared value for your regression is below .05, then none of the coefficient estimates will be statistically significant at the 5% level.
______b. If the p-value for the estimate of β2 is .32, then x2 is not statistically significant at the 5% level.
_____c. Although u does not equal zero for every observation in the population, u-hat will equal zero for every observation in the sample.
_____d. Because your regression model satisfies assumptions MLR1 through MLR5, if you collected another random sample, and estimated the same regression model using that sample, you would get the same coefficient estimates that you got from the first sample.
_____e. If the variable x2 in this population regression model were replaced by the variable log(x2), the model would no longer satisfy all of the MLR assumptions, regardless of the relationship between log(x2) and any other random variables.
