2 Suppose we decide to include another independent variable

2. Suppose we decide to include another independent variable into the model above to help explain housing starts. (This variable is also included in the Excel data set): mortgage_availability = availability for mortgage money index a. Run the new regression (1 point): housing_starts = 0 + 1*population + 2*mortgage_availability b. Report the coefficient and p-value on population and mortgage_availability. Are they statistically significant? (2 points) c. Using STATA, plot the residuals of this new regression (attach this to the assignment). How do these residuals compare to the original regression’s residuals? (3 points) d. Perform a Durbin-Watson test at the .05 level testing that there is no positive serial correlation. Be sure to report the lower and upper limit critical values and test statistic. What is your decision, and what does this mean? (5 points) e. What does your new decision suggest about the nature of the serial correlation in the first regression? (2 points)

year housing population mortgage_availability
1 0.0909 2.2 0.03635
2 0.08942 2.222 0.03345
3 0.09755 2.244 0.0387
4 0.0955 2.267 0.03745
5 0.09678 2.28 0.04063
6 0.10327 2.289 0.04237
7 0.10513 2.289 0.04715
8 0.1084 2.29 0.04883
9 0.10822 2.299 0.04836
10 0.10741 2.3 0.0516
11 0.10751 2.3 0.04879
12 0.11429 2.34 0.05523
13 0.11048 2.386 0.0477
14 0.11604 2.433 0.05282
15 0.11688 2.482 0.05473
16 0.12044 2.532 0.05531
17 0.12125 2.58 0.05898
18 0.1208 2.605 0.06267
19 0.12368 2.631 0.05462
20 0.12679 2.658 0.05672
21 0.12996 2.684 0.06674
22 0.13445 2.711 0.06451
23 0.13325 2.738 0.06313
24 0.13863 2.766 0.06573
25 0.13964 2.793 0.07229

Solution

2. Suppose we decide to include another independent variable into the model above to help explain housing starts. (This variable is also included in the Excel d

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