1) In regression analysis, the model in the form y = 0 + 1x + is called the

a) regression model. b) correlation model.c) regression equation. d) estimated regression equation.

2)Regression analysis is a statistical procedure for developing a mathematical equation that describes how

a) one dependent and one or more independent variables are related.one dependent,

b) one independent, and several error variables are related.

c) one independent and one or more dependent variables are related.

d) several independent and several dependent variables are related.

3)In regression analysis, the variable that is being predicted is the

a) intercept variable. b) error variable.c) dependent variable. d) independent variable.

Let P be the transition matrix of a Markov chain with 7 states. Which one of the following statements is not always true? O p2 is the transition matrix of a Markov chain with 72 states. If O is another transition matrix of a Markov chain with 72 states, then PQ is the transition matrix of a Markov chain with 72 states. O If ) is another transition matrix of a Markov chain with 72 states, then *(P + Q) is the transition matrix of a Markov chain with 7, states. If P is invertible, then p-1 is the transition matrix of a Markov chain with 71, states.Consider a Markov chain {Xn, n = 0, 1, .. .} on the state space S = {0, 1, .. .}. Suppose that the Markov chain has the transition probability function g such that g(x, x + 1) = p g (x, 0) = 1-p for x ES, where p E (0, 1). 1. Show that the Markov chain has a unique stationary mass. 2. Let h denote the stationary mass of the Markov chain. Find h(x) for all x E S.The transition matrices of several different Markov Chains appear below. Which of these Markov Chains, if any, are Regular Markov Chains? 1 0 0 A) 0.3 0 0.7 B) 0.2 0.3 0.5 0.8 0.1 0.1 0 0 1 0 1 0 C) 0.8 0 0.2 0.4 0.2 0.4 0.7 0.3 0 0.5 0 0.5 D) 0.3 0 0.7 E) 0 1 0 0 1 0 0.3 0 0.7 01 0 O A, B, and D O C and D ONone of these are from regular Markov Chains A and B A, B, and E O D and E