1. In the general linear equation, Y = a + bX, what is the value of a called?

the y-intercept

delta

the slope

regression coefficient

2. What distinguishes bivariate regression from multivariate regression?

The number of dependent variables included in the analysis

The number of lines of best fit included in the analysis

The number of independent variables included in the analysis

The number of exogenous variables included in the analysis

Problem 3. Let A and B be two arbitrary sets. Prove the following from basic definitions of set operations. (Note: The following are representative of many such statements that can be made in terms of basic set operations. See Theorem 2.2.1 in A Transition to Advanced Math by Smith for an example. They can all be proven directly from definitions. Proving all of them would be tedious, but it's instructive to pick a few to prove.) (a) Prove that AU(AnB) =Anciabineby1 1ory dintnogal todane BellT gojpenni 30 ((b) Prove that An (BUC) = (AnBJU(Ang). Qaqwerethe patient is in the group treated with interferon alfa, and let B denote the event that the patient has a complete response. Determine the following probabilities. (a) P(A) (b) P(B) (c) P(AnB) (d) P(AUB) (e) P(A'UB) 2-81. A computer system uses passwords that contain exactly eight characters, and each character is one of 26 low- ercase letters (a-z) or 26 uppercase letters (A-Z) or 10 inte- gers (0-9). Let 2 denote the set of all possible passwords, and let A and B denote the events that consist of passwords with only letters or only integers, respectively. Suppose that all passwords in 2 are equally likely. Determine the probabil- ity of each of the following: (a) A (b) B (c) A password contains at least 1 integer. (d) A password contains exactly 2 integers. lying basic set operations to individual events. Unions of events, vents, such as AnB; and complements of events, such as A'-are bility of a joint event can often be determined from the probabili- it comprises. Basic set operations are also sometimes helpful in joint event. In this section, the focus is on unions of events. 2-1 lists the history of 940 wafers in a semiconductor manu- wafer is selected at random. Let / denote the event that the