1. Consider that 11 subjects give data, (y1,x11,x12), . . ., (yn,xn1,xn2), which are statistically independent and satisfy the model 37: 50+l81x1+l82x2+5 where x1 and x2 are nonrandom regressors and 5 is a random error. a) Construct test for significance of each regressor such that the probability of falsely concluding that x1 is significant or falsely concluding that x2 is significant is no more than 0.05? [10 points] b) Construct test for H0: l 2 g and [31 + z = c, at a: = 0.05, where c is a given real number. [10 points] c) Delete the intercept coefficient 50 from the model. Construct test for significance of the regressor x1. [10 points]