(a) We may see that or . Putting this into the regression , we have or or . The residual standard error (SER) and the r-square would also be the same as before, since the residual sum of square would be same as before.
The answer would be hence ,
and .
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QUESTION 5 Suppose that a researcher, using wage data on 250 randomly selected male workers and 280 female workers, estimates the OLS regression: Wage 12.52 + 2.12 x Male, R2 0.06, SER 4.2 (0.23) (0.36) where Wage is measured in dollars per hour and Male is a binary variable that is equal to 1 if the person is a male and O if the person is a female. Define the wage gender gap as the difference in the mean earnings...
top Suppose that a researcher, using wage data on 230 randomly selected male workers and 258 fermale workers, estimates the OLS regression 4 Wage 11.518 +1.950 x Male, R 0,04, SER = 3.9, (0.2116) (0.3312) where Wage is measured in dollars per hour and Male is a binary variable that is equal to 1 if the person is a male and 0if the person is a female. Define the wage gender gap as the difference in mean earnings between men...
10 Find the trigonometric function value of angle e. 2 22) cos 0 = and o in quadrant IV 7 Find sin e 5 23) sin 0 -- and e in quadrant III Find sec .
4) Suppose a random variable X has theprobability distribution with a: o 1 -2 0 1 2 0.3 0.1 p 0.4 . then p - ,P(X2 22) = ,, and E(X) = - 5) Suppose X~Bin(10,0.4), Y-2X+5, then E(Y) = ,Var(Y) 6) Suppose X-NC-3,4) and Y~N(2,9), X and Y are independent, then Var(X-2Y)
E O = 22. 0 22. 41 Z 4 C OO 4 smo letol vagi 7. When FeS reacts with oxygen, Iron 711) oxide and sulfur dioxide form. If 0.600kg of fés reacts with oxygen gas at 25°C and 725 torr, how many liters of sulfur dioxide will be collected? gas3 isht pressures offurrent gases Wesent in the wool ! 7. When solid potassium chlorate decomposes, potassium chloride (s) and oxygen gas astoa form. How many liters of oxygen are...
Q. 5. Let X be any random variable, with moment generating function M(S) = E[es], and assume M(s) < o for all s E R. The cumulant generating function of X is defined as A(s) = log Ele**] = log M(s), SER Show the following identities: (1) A'(0) = E[X]. (2) A”(0) = Var(X). (3) A"(0) = E[(X - E[X]))). Using the inversion theorem for MGFs, argue the following: (4) If A'(s) = 0 for all s ER, then P(X=...
o 3.4 For a random variable for which the PDF is (0, x<-1 x> 1 Determine (a) A, (b) μ, (c) o", (d) sh, (e) ku. 3.5 Suppose that (a) Find f(x). (b) Determine,e and o". (c) Find the expected value of e.
1. (20 pts) RVs X and Y have joint density function 22 f(x, y) =(0 if O <z<1 and 0<y<2 īf 0 < x < 1 and 0 < y < 2 otherwise (a) Find E(X), V(X), E(Y), and V(Y). (b) Find the covariance cov(X,Y) and the associated correlation ρ (c) Find the marginal densities fx and fy. (Be sure to say where they're nonzero.) (d) Find E(X | Y = 1.5). (e) Are X and Y independent? Give two...
(5 pts) Consider a random variable X with pdf V o S 0.5eX fx(x) = { 0.5e-2 x < 0 x > 0. 0.5 e-> o ΔΙ Let S 4x2 x < 0 g(x) = { 22 x 20, V ΔΙ and let Y = g(X). Determine fy(y).
22) Choose the best Lewis structure for SO42 A) :0-S-O: B) :S- O: C) D) :O-S-O: 23) Draw the Lewis structure for NO2 including any valid resonance structures. Which of the following statements is TRUE? A) The nitrite ion contains one N-O single bond and one N-O double bond B) The nitrite ion contains two N-O bonds that are equivalent to 1 bonds 2 C) The nitrite ion contains two N-O double bonds D) The nitrite ion contains two N-O...