Question:

which of the following is a true statement for a regression analysis?

-regression analysis is applied only to a non-linear model

-regression analysis is applied only to a multiplicative model

-regression analysis is applied only to a linear model

-regression analysis is applied only to an exponential model

an experiment with more than one manipulated factor is called

-simple random design

-non-randomized block design

-factorial design

-none of the above

1 = 2.5 5= 2.0 Problem 4: (15 Points) 1. (10 points) From past experience, it is known that the number of tickets pur- chased by a customer standing in line at the ticket window for the BTS (Bangtan Boys: A South Korean Band) concert follows a distribution that has mean u = 2.5 and standard deviation o = 2.0. Suppose that few hours before the start of one of these concerts at DFW, there are 99 eager students from ENGR 3341 and their professor standing in line to purchase tickets. If only 240 tickets remain, use the cental limit theorem (CLT) and Q-table to find the probability that all 99 students and the professor (i.e. a total of 99 + 1 = 100 people) will be able to watch the concert together. 2. (5 points) Using Chebyshev inequality, calculate the percentage of observations (i.e. outcomes) that would fall outside 2 standard deviations of the mean.(a) Let X1, X2 and X's be three independent random variables with variances of 2,4, and 5, respectively. Find Var(2X1 - 4X2 + X3). (b) The cumulative distribution function F(r) of a discrete random variable X is given by F(0) = .30, F(1) = .70, F(2) = .90 and F(3) = 1.0. Find P[X = 1). (c) A continuous random variable X is uniformly distributed over the interval (12, 18). What is the variance of X - 15? (d) Let X1, ..., X10o denote the actual net weights of 100 randomly selected 40-1b bags of fertilizer. If the expected weight of each bag is 40 and the variance is 1, calculate P(39.8