Question

am i correct? why?

James Hyatt is a research analyst for alternative investment assets for Oxbridge Asset Management Company. He is developing a method to predict housing prices. Hyatt believes that the factors determining house prices are the size of the house (measured in square meters) and the number of bedrooms in the house. Hyatt devel ops the model based on a sample of 60 houses sold during this past year: He used the following multiple regression model Price bo bi Size + b2 Bedrooms In order to evaluate heteroskedasticity in the observed data, Hyatt regressed the square of error terms on the independent variables. The results of his second supplementary regression exercise are as follows R-squared Observations SEE 0.089 60 0.0071 Coefficient 0.023 0.0051 0.0024 Standard Error 0.011 0.0062 0.0033 Regression Intercept Size Bedroom Significance level 0.05 Test Statistic t-statistic F-statistic chi-sauare statistic Critical Value 1.671 4.00 5.991 REPORT

Answer 1

Test { H_0: Variance is homogeneous H_1: Variance is Heterogeneous SEE = 0.0071 => MS E = (0.0071)^2 = 0.00005041 => SSE = 0.00287337 => R^2 = 1 - SSE/SS total 0.08 g = 1 - 0.0028733/SS total => SSE times SS total = 1 - 0.089 SS total = 317.049 => SS regression = 317.04 g - 0.00287337 = 317.0464 => MS regression = 317.0464/2 = 158.05232 => F = MS regression/MS error = 55169 V => F > F critical => Reject H_0 => Yes, heteroscedasticity is present