question B.2: Housing Prices (20 Marks) We are interested in the effects of distance to an incinerator on housing prices. We have information on the natural log of selling price (lprice), natural log of distance to an incinerator measured in feet (Idist), log of distance to the interstate (linst), log of square footage of the house (larea), log of lot size (land), number of rooms (rooms), number of bathrooms (baths), age of house (age). (@) Suppose we run regression we get the following results in State: reg lprice Idist larea lland lintat rooms baths age Source SS MS Number of obs = 142 7, 134) = 56. 68 Model 16.0253305 7 2.20933294 Prob > F 0.0000 Residual 5. 4120238 134 . 040388237 R-squared Adj R-squared = 0. 7344 Total 21. 4373543 141 152037974 Root MSE 20097 iprice Coef. Sed. Err. [954 Conf. Interval] 1dist 0553911 0576208 0.96 0. 338 . 0585727 169355 larea 3192932 4. 18 0. 000 1681521 4704342 1land 0768257 0395044 1,94 0 . 054 -. 0013072 1549585 lintst . 0390353 0516613 -0.76 0 . 451 -. 1412124 0631418 rooms 042520 020251 1.51 0 . 135 . 0133476 0904036 baths .1669255 0419442 3.98 0.000 0839672 2498837 age - . 0035673 0010588 -3.37 0. 001 .0056614 -. 0014732 cons 7.592329 6417102 11.83 0.000 6.323138 8. 86152 Fill in the missing 2 blanks in the regression results, and conduct a test of overall significance at the 5% level. Clearly state your null and alternative hypothesis, how you calculate the test statistic, and explain how you draw a conclusion for your test. (b) Interpret the estimated coefficient on dist, and test whether it is different than 0 at the 5% level. Clearly state your null and alternative hypothesis, calculate your test statistic, and explain how you draw a conclusion for your test. (c) Suppose we add a polynomial term of squared distance to the interstate (instay), and get the following results