Question 2 (20 marks) Consider the raw data set below with 12 observations, on $ socio-economic variables, called Population, School, Employment, Services and HouseValue. data SocioEconomics; input Population School Employment Services HouseValue; datalines; 5700 12.8 2500 270 25000 1000 10.9 60 0 10 10000 3400 1000 10 9000 2800 12.6 1700 140 25000 4000 12.8 1600 140 25000 8200 3.2 2600 12000 1200 11. 4 400 10 16000 9100 11.5 2300 14000 9900 12.5 3400 180 18000 9600 12.7 3600 390 25000 9600 9.6 2300 12000 9400 11 . 4 4000 100 13000 proc factor data=SocioEconomics simple corr: run; Conduct a factor analysis by using the following SAS statements above. Show your SAS code (it can vary to the one I suggest), output and answers within the ONE assignment por or dock that you submit in Canvas. 1. Prepare the dataset for a Factor analysis via SAS. (1 mark) 2. Generate the means and standard deviations of the data. (1 mark) 3. Perform a Factor analysis on the raw data AND the correlation matrix using the code above and answer the following questions. (6 marks) 4. From the siganvalues of the correlation matrix and the factor loading matrix and communalities outputted answer the following questions. :) Do the first two principal components (factors) provide an adequate summary of the data? (1 mark) b] How much of the variation is accounted for by 2 factors? (1 mark) c) How much of the variation is secounted for by 3 factors? (1 mark) 5. To get the scoring coefficients as eigenvalues use PROC PRINCOMP to display the scoring coefficients as ciganactors, uss, and answer the following questions