3 1 S c Yes 1 C A 5 Tel M Ne 1 5 5 5 A C D C ON 1 10 11 12 13 M 5 3 M Ne Ne NO is No YE NO A A 15 2 1 1 M 17 18 19 20 21 22 23 24 1 A 3 C C C A D A No ya Yes Yes NO Yes ve NO Yes 5 5 1 1 26 27 28 M 5 M 5 5 w 10 NO Yes Yes Yes C A A C A A C C A A 32 33 34 V SE SE 1 se M D No NO Yes ON D A A c 5 5 3 M M Yes Ne 1 39 39 40 41 42 43 44 -45 45 47 48 49 50 51 52 53 54 55 56 57 W 5 1 N 1 Yes Ne is Yes Yes Ne A A D C C C D A D C A c M 3 No NO No A A A C 5. 1 1 1 59 60 61 M 5 No A 64 1 1 NO NO c C The accompanying data set contains three variables, x1, x2, and x3. Dricture Click here for the Excel Date File a. The variable x, contains 3 categories: S, M, and L. Convert the category names into category scores (.e.5 =1, M = 2, and L = 3). What is the average score for the variable xy? (Round your answer to two decimal places.) Average score of my b. Transform x2 into an appropriate number of dummy variables. How many dummy variables should be created? Number of dummy variables to be created c. The variable xy contains four categories: A, B, C, and D. Reduce the number of categories by combining the two least frequent categories into a new category E. How many observations are in the E category? Number of observations in the category