please answer all parts

3. (14 points) For the following two data sets, a regression analysis with a dummy variable is conducted, with dummy variable Z taking value 0 for Set M and 1 for Set N. Set M Y Set N X Y 5.3 5.1 0 0.9 7 4.4 12 7.1 B 5.2 2 2.4 6 3.8 A) (6 pt] Specify the two models for the two situations: the model with dummy variable to produce two separate lines for the two data sets, and the model fitting a single straight line for the two data sets together. You only need to specify the model in names/symbols, and do not need to estimate the values for the regression coefficients. Model for two separate lines: Model for single straight line: B) (4pt) What is the corresponding hypothesis to be tested? C) (4 pt] The two models specified in A) have a 0.1818 difference in their regression sums of squares, and the reduced model has a residual sum of squares being 0.3272. Compute the corresponding F statistic (rounded to 2 digits after the decimal points) when the two models are compared: indicate the four components of the F-statistic: SS1-SS2, df1, RSS2, df2, indicate whether the result is significant, and interpret the result (a=0.05)