6. [15 marks] The following model was fit to elementary school data from a national survey. There are measures of academic performance of the school (api00 ; higher is better), the average class size in kindergarten through 3rd grade (acs_k3), the percentage of students receiving free meals (meals) - which is an indicator of poverty, and the percentage of teachers (0-100%) who have full teaching credentials (full). We expect that better academic performance would be associated with lower class size fewer students receiving free meals, and a higher percentage of teachers having full teaching credentials. Below is the STATA output of a regression model testing this theor regress api00 acs_k3 meals full Source SS df MS Number of obs = 398 F( XXXXXXXX) = 615.55 Model | 6604966 . 18 3 2201655.39 Prob > F = 0. 0000 Residual | 1409241 . 06 394 3576. 7573 R- squared = XXXXXX Adj R- squared = XXXXXX Total | 8014207.14 397 20186.9197 Root MSE = XXXXXX apioo Coef. Std. Err t P> It| [95% Conf. Interval] acs_k3 | - . 7170622 2. 238821 XXXXXX 0. 749 XXXXXXXXX XXXXXXXX meals - 3. 686265 XXXXXXXX - 32.98 0. 000 XXXXXXXXX XXXXXXXX full 1.327138 2388739 5.56 0 . 000 XXXXXXXXX XXXXXXXX cons 771. 6581 48 . 86071 15 . 79 0 . 000 XXXXXXXXX XXXXXXXX (a) [3 marks] Write down the statistical model for the average elementary school performance that corresponds to the output