When trying to predict net profits (y) based on expenses (x), an analyst uses the quadratic model, E(y) = β0 + β1x + β2x2. This model was fit to data collected for a sample of 20 reports. A quadratic regression was run and a portion of the printout is shown below.
Variable Coefficients Standard error T-stat P-value
Intercept 198.325806 49.62385671 3.996581869 0.000934099
X –1.209914287 1.470933371 –0.822548669 0.422152931
X × X 0.01252549 0.010691795 1.171504923 0.257554192
What is the p-value for testing H0: β2 = 0 against Ha: β2 ≠ 0?
0.0009
0.0125
0.2576
0.4222