If you are looking to find the relationship between a set of predictor variables and a single criterion, you would conduct a _______________; whereas if you would like to predict the score on a single criterion knowing the scores on a set of predictors, you would conduct a _______________.

A. regression analysis; multiple regression analysis

B. correlation analysis; multiple correlation analysis

C. multiple correlation analysis; multiple regression analysis

D. correlation analysis; regression analysis

Problem 2. Prove (from definitions) that if X C A and X C B, then X C.(An B). 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 TheoremChapter 2 Computer Project (Page 189): 1 (There are built-in Matlab functions for all of these basic set operations except for the the complement operation, which is just a special case of the difference operation. Find out what these functions are and how to use them in Matlab. Experiment with sets of A and B which are subsets of a universal set (U) consisting of any 10 consecutive integers that you desire. For example, if you define, in Matlab code, U = [ 3 4 5 6 7 8 9 10 11 12]:, then A = [4 5 7 6 10] and B= [3 5 8 11] are 2 of many possible subsets)An alternative method for implementing a set S is to imitate the bit string implementation of Delphi by using a boolean array S where S[ch] is true if the element ch is in S and is false otherwise. Using this implementation, write functions for the basic set operations of union, intersection, difference, membership, and equality. The rules for the program are: 1) Declare a boolean array type which will be mapped from 'A' to 'Z'. Note that the subscripts are characters so that we can actually test S[ch] directly M loop from 'A' to '2' directly in the for loop. 2) Create three arrays which will mimic sets: UNIVERSAL, VOWEL and MYNAME. Call a function INIT to initialize these arrays, with UNIVERSAL holding all of the letters, VOWEL contains the letters A, E, I, O and U. Initialize MYNAME to be an empty set, then read a data file which will contain the letters in your name. For ease of input, you can put one letter on each line. 3) Create a print function which will be sent one array. The print will be across a row with a space between elements, as in the following format: ABCDEFGHIJKLMNOPQRSTUWXYZ Call it three times to print the members of UNIVERSAL, VOWEL, and MYNAME, printing an appropriate message each time. 4) Write a function which will find the union of any two sets sent to it. Test the function by having it union VOWEL and MYNAME. Call the print function to print this set with an appropriate message