The accompanying data file contains three variables, x1,x2, and x3. Click here for the Excel Data File a. The variable x1 contains three categories: S,M, and L. Convert the category noumes into category scores (i.e. S=1,M= and L=3 ). How many observations have a category score of 3 ? Note: Round your answer to two decimal places. b. The variable 2 contains two categories: Yes and No. Transform 2 into an appropriate number of dummy variables. Hor many dummy variables should be created? c. The variable 3 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? The accompanying data file contains three variables, x1,x2, and x3. Click here for the Excel Data File a. The variable x1 contains three categories: S,M, and L. Convert the category noumes into category scores (i.e. S=1,M= and L=3 ). How many observations have a category score of 3 ? Note: Round your answer to two decimal places. b. The variable 2 contains two categories: Yes and No. Transform 2 into an appropriate number of dummy variables. Hor many dummy variables should be created? c. The variable 3 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