A student regressed Y against both X and X2 and obtained the following output tables.

Regression Statistics Multiple R 0.682335 R Square 0.465581 Adjusted F 0.406201 Standard | 11.70702 Observatic 21 ANOVA df SS MS F gnificance F Regression 2 2149.211 1074.605 7.840724 0.003556 Residual 18 2466.979 137.0544 Total 20 4616.19 Coefficientsandard Err t Stat P-value Lower 95%Upper 95% Intercept 31.88669 3.839323 8.305289 1.43E-07 23.82057 39.9528 X -1.49703 0.421892 -3.54838 0.002296 -2.38339 -0.61067 X2 0.13741 0.078164 1.757973 0.095744 -0.02681 0.301626Regression Statistics Multiple R 0.611413 R Square 0.373825 Adjusted F 0.340869 Standard I 12.33425 Observatic 21 ANOVA df SS MS F gnificance F Regression 1 1725.649 1725.649 11.34297 0.00323 Residual 19 2890.541 152.1337 Total 20 4616.19 Coefficientsandard Errant Stat P-value Lower 95%Upper 95% Intercept 36.92505 2.691554 13.71886 2.62E-11 31.29156 42.55854 X -1.49703 0.444496 -3.36793 0.00323 -2.42737 -0.56669