Instructions: Use the estimated model outputs attached to answer the following questions. Show all your calculations and write out all the assumptions you used to arrive at your answer. For all hypothesis tests conducted, you will need to state the NULL HYPOTHESIS and INTERPRET IT. Using Model A in Table A as our current preferred estimated linear model for trip generation, we are curious and want to test if this model is really preferred over a model with just a constant term. Part A) Which of the following models in Table A would be this alternative model? Conduct a multi-parameter F-test to determine which model we prefer, Model A or this alternative model. Ecritical = 2 Part B) Assume you end up accepting the null hypothesis from Part A and that all the parameters (aside from the constant) are indeed ZERO, regardless of your answer before. Explain how you would interpret (or react to) this result? Coefficient 7.910 2.413 -7.694 Model A Std. Error 3.411 0.368 2.190 0.320 t-statistic 2.319 6.561 -3.514 1.677 Coefficient 2.494 2.402 - 1.209 0.515 Model C Std. Error 0.732 0.362 0.597 0.321 t-statistic 3.409 6.640 -2.027 1.604 0.536 Parameter Constant JHHSIZE INUMADLT HHVEHCNT HHVEHCNT = 1 (1/0) JHHVEHCNT = 2+ (1/0) URBAN (1/0) WRKCOUNT NUMADLTXURBAN (1/0) WRKCOUNTXURBAN (1/0) Num. Obs. SSE R^2 Coefficient 6.752 2.501 -8.039 0.267 2.613 1.887 -6.129 6.457 7.350 -6.417 Model B Std. Error 3.409 0.372 2.174 0.518 1.065 1.515 3.453 1.733 2.213 1.763 280 9793953.0 0.3398 t-statistic 1.980 6.716 -3.697 0.515 2.455 1.246 -1.775 3.727 3.321 -3.640 0.744 0.410 1.813 -5.473 6.457 6.770 -6.068 3.471 1.733 2.221 1.770 280 10045553.0 0.3228 - 1.577 3.727 3.049 -3.429 280 10591127.0 0.2860 Model D Std. Error Parameter Coefficient 7.595 t-statistic 23.140 0.328 --- = GE Constant HHSIZE INUMADLT HHVEHCNT HHVEHCNT = 1 (1/0) HHVEHCNT = 2+ (1/0) URBAN (1/0) WRKCOUNT NUMADLTXURBAN (1/0) WRKCOUNTXURBAN (1/0) Num. Obs. SSE R^2 --- --- --- 280 14834002.0 Instructions: Use the estimated model outputs attached to answer the following questions. Show all your calculations and write out all the assumptions you used to arrive at your answer. For all hypothesis tests conducted, you will need to state the NULL HYPOTHESIS and INTERPRET IT. Using Model A in Table A as our current preferred estimated linear model for trip generation, we are curious and want to test if this model is really preferred over a model with just a constant term. Part A) Which of the following models in Table A would be this alternative model? Conduct a multi-parameter F-test to determine which model we prefer, Model A or this alternative model. Ecritical = 2 Part B) Assume you end up accepting the null hypothesis from Part A and that all the parameters (aside from the constant) are indeed ZERO, regardless of your answer before. Explain how you would interpret (or react to) this result? Coefficient 7.910 2.413 -7.694 Model A Std. Error 3.411 0.368 2.190 0.320 t-statistic 2.319 6.561 -3.514 1.677 Coefficient 2.494 2.402 - 1.209 0.515 Model C Std. Error 0.732 0.362 0.597 0.321 t-statistic 3.409 6.640 -2.027 1.604 0.536 Parameter Constant JHHSIZE INUMADLT HHVEHCNT HHVEHCNT = 1 (1/0) JHHVEHCNT = 2+ (1/0) URBAN (1/0) WRKCOUNT NUMADLTXURBAN (1/0) WRKCOUNTXURBAN (1/0) Num. Obs. SSE R^2 Coefficient 6.752 2.501 -8.039 0.267 2.613 1.887 -6.129 6.457 7.350 -6.417 Model B Std. Error 3.409 0.372 2.174 0.518 1.065 1.515 3.453 1.733 2.213 1.763 280 9793953.0 0.3398 t-statistic 1.980 6.716 -3.697 0.515 2.455 1.246 -1.775 3.727 3.321 -3.640 0.744 0.410 1.813 -5.473 6.457 6.770 -6.068 3.471 1.733 2.221 1.770 280 10045553.0 0.3228 - 1.577 3.727 3.049 -3.429 280 10591127.0 0.2860 Model D Std. Error Parameter Coefficient 7.595 t-statistic 23.140 0.328 --- = GE Constant HHSIZE INUMADLT HHVEHCNT HHVEHCNT = 1 (1/0) HHVEHCNT = 2+ (1/0) URBAN (1/0) WRKCOUNT NUMADLTXURBAN (1/0) WRKCOUNTXURBAN (1/0) Num. Obs. SSE R^2 --- --- --- 280 14834002.0