Consider the multiple regression model with three independent variables, under the classical linear model assumptions MLR.1 through MLR.6: y 5 b0 1 b1x1 1 b2x2 1 b3x3 1 u. You would like to test the null hypothesis H0: b1 2 3b2 5 1. (i) Let b^ 1 and b^ 2 denote the OLS estimators of b1 and b2. Find Var 1b^ 1 2 3b^ 2 2 in terms of the variances of b^ 1 and b^ 2 and the covariance between them. What is the standard error of b^ 1 2 3b^ 2

If angle b measures 25°, what is the approximate perimeter of the triangle below? 10.3 units 11.8 units 22.1 units 25.2 units

Matt had 5 library books. he checked out 1 additional book every week without retuening any books. whats the matching equation

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality