Below is the description of the data from Johnson: Fortyeight individuals who had applied for a job with a large firm were interviewed and rated on 15 criteria. Individuals were rated on The form of their letter of application (FL) Their appearance (APP) Their academic ability (AA) Their likability (LA) Their self-confidence (SC) Their lucidity (LC) Their honesty (HON) Their salesmanship (SMS) Their experience (EXP) Their drive (DRV)Their ambition (AMB) Their ability to grasp concepts (GSP) Their potential (POT) Their keenness to join (KJ) Their suitability (SUIT) Each criterion was evaluated on an integer scale ranging from 0 to 10 with 0 being a very low and very unsatisfactory rating, and 10 being a very high rating. The data is in the file job_applicant.csv , and it involves performing a FA for the data. Use the correlation matrix for the analysis. (a)(7 points) Determine the number of common factors to use. Make sure to justify your choice. (b)(7 points) Using the varimax method, state the FA model for the number of common factors chosen. (c)(7 points) Interpret the common factors resulting from the model in part b). Make sure to specifically comment on whether positive or negative common factor scores (or scores close to 0) would likely be preferred by the firm. (d)(7 points) Examine plots of the common factor scores (regression method) and interpret them in the context of the problem. For example, what do you think of applicant #42? (e)(7 points) Suppose a late applicant submits his/her application after the FA has been completed. The applicant receives 10's for all 15 original variables! Through using the previous FA results, find this applicant's common factor scores (regression method) and discuss how this particular individual would compare to the other applicants. (f)(7 points) If the overall goal is to find the best individuals to hire, where each of the 15 criteria are given equal weighting for the FA, suggest which applicants are the best. Remember that it is most desirable to score as high as possible among the fifteen variables, so you need to take this into account when using the FA to make your judgments.

Applicant FL APP AA LA SC LC HON SMS EXP DRV AMB GSP POT KJ SUIT 1 6 7 2 5 8 7 8 8 3 8 9 7 5 7 10 2 9 10 5 8 10 9 9 10 5 9 9 8 8 8 10 3 7 8 3 6 9 8 9 7 4 9 9 8 6 8 10 4 5 6 8 5 6 5 9 2 8 4 5 8 7 6 5 5 6 8 8 8 4 4 9 5 8 5 5 8 8 7 7 6 7 7 7 6 8 7 10 5 9 6 5 8 6 6 6 7 9 9 8 8 8 8 8 8 10 8 10 8 9 8 10 8 9 9 9 8 9 9 8 8 10 9 10 9 9 9 10 9 9 9 7 8 8 8 8 5 9 8 9 8 8 8 10 10 4 7 10 2 10 10 7 10 3 10 10 10 9 3 10 11 4 7 10 0 10 8 3 9 5 9 10 8 10 2 5 12 4 7 10 4 10 10 7 8 2 8 8 10 10 3 7 13 6 9 8 10 5 4 9 4 4 4 5 4 7 6 8 14 8 9 8 9 6 3 8 2 5 2 6 6 7 5 6 15 4 8 8 7 5 4 10 2 7 5 3 6 6 4 6 16 6 9 6 7 8 9 8 9 8 8 7 6 8 6 10 17 8 7 7 7 9 5 8 6 6 7 8 6 6 7 8 18 6 8 8 4 8 8 6 4 3 3 6 7 2 6 4 19 6 7 8 4 7 8 5 4 4 2 6 8 3 5 4 20 4 8 7 8 8 9 10 5 2 6 7 9 8 8 9 21 3 8 6 8 8 8 10 5 3 6 7 8 8 5 8 22 9 8 7 8 9 10 10 10 3 10 8 10 8 10 8 23 7 10 7 9 9 9 10 10 3 9 9 10 9 10 8 24 9 8 7 10 8 10 10 10 2 9 7 9 9 10 8 25 6 9 7 7 4 5 9 3 2 4 4 4 4 5 4 26 7 8 7 8 5 4 8 2 3 4 5 6 5 5 6 27 2 10 7 9 8 9 10 5 3 5 6 7 6 4 5 28 6 3 5 3 5 3 5 0 0 3 3 0 0 5 0 29 4 3 4 3 3 0 0 0 0 4 4 0 0 5 0 30 4 6 5 6 9 4 10 3 1 3 3 2 2 7 3 31 5 5 4 7 8 4 10 3 2 5 5 3 4 8 3 32 3 3 5 7 7 9 10 3 2 5 3 7 5 5 2 33 2 3 5 7 7 9 10 3 2 2 3 6 4 5 2 34 3 4 6 4 3 3 8 1 1 3 3 3 2 5 2 35 6 7 4 3 3 0 9 0 1 0 2 3 1 5 3 36 9 8 5 5 6 6 8 2 2 2 4 5 6 6 3 37 4 9 6 4 10 8 8 9 1 3 9 7 5 3 2 38 4 9 6 6 9 9 7 9 1 2 10 8 5 5 2 39 10 6 9 10 9 10 10 10 10 10 8 10 10 10 10 40 10 6 9 10 9 10 10 10 10 10 10 10 10 10 10 41 10 7 8 0 2 1 2 0 10 2 0 3 0 0 10 42 10 3 8 0 1 1 0 0 10 0 0 0 0 0 10 43 3 4 9 8 2 4 5 3 6 2 1 3 3 3 8 44 7 7 7 6 9 8 8 6 8 8 10 8 8 6 5 45 9 6 10 9 7 7 10 2 1 5 5 7 8 4 5 46 9 8 10 10 7 9 10 3 1 5 7 9 9 4 4 47 0 7 10 3 5 0 10 0 0 2 2 0 0 0 0 48 0 6 10 1 5 0 10 0 0 2 2 0 0 0 0