$0\mathrm{.}75-0\mathrm{.}750\mathrm{.}03-0\mathrm{.}72-0\mathrm{.}47-0\mathrm{.}480\mathrm{.}360\mathrm{.}77$ SW $-0\mathrm{.}781\mathrm{.}00-0\mathrm{.}76-0\mathrm{.}05-0\mathrm{.}70-0\mathrm{.}41-0\mathrm{.}520\mathrm{.}400\mathrm{.}91-0\mathrm{.}760\mathrm{.}141\mathrm{.}000\mathrm{.}021\mathrm{.}000\mathrm{.}720\mathrm{.}071\mathrm{.}000\mathrm{.}69-0\mathrm{.}090\mathrm{.}380\mathrm{.}410\mathrm{.}190\mathrm{.}45-0\mathrm{.}670\mathrm{.}06-0\mathrm{.}41-0\mathrm{.}790\mathrm{.}00-0\mathrm{.}740\mathrm{.}890\mathrm{.}090\mathrm{.}69-0\mathrm{.}14-0\mathrm{.}07-0\mathrm{.}18$DHLi. ii$.$FS TS OS RS$1\mathrm{.}00-0\mathrm{.}26-0\mathrm{.}26-0\mathrm{.}441\mathrm{.}00-0\mathrm{.}291\mathrm{.}00-0\mathrm{.}500\mathrm{.}441\mathrm{.}000\mathrm{.}060\mathrm{.}570\mathrm{.}65,-0\mathrm{.}45-0\mathrm{.}771\mathrm{.}00-0\mathrm{.}100\mathrm{.}040\mathrm{.}140\mathrm{.}13-0\mathrm{.}051\mathrm{.}00(03$SECTIONBANSWER ALL QUESTIONS QUESTION $3(30$ MARKS$)$Ten tourism marketing students from UGBS were contacted by the director of the Ghana Tourism Authority to identify factors that influence hotel occupancy rate $($HOR$)$ in Ghana each month. Hotel occupancy is perceived to be measured as the percentage ofavailable hotel rooms that are occupied by paying customers. It is expected that, the model that will be developed should be able to predict hotel occupancy rate for the tourism industry. Questionnaire developed by the students, identified the following factors that would best predict HOR to include, the total number of passengers arriving at the airport $($AP$),$ rate charge per hotel room $($HR$),$ safety index $($SI$),$ distance $($in kilometers$)$ from hotel to the nearest tourist site $($D$),$ the class of the hotel $(4-$star, $3-$star, $2-$star or I$-$star, where FS $=1$ if hotel is four star, $0$ otherwise, TS $=1$ if hotel is a three star hotel, $0$ otherwise and OS $=1$ if hotel is a one star hotel, $0$ otherwise$)$ and the season $($where RS $=1$ if raining season, $0$ if dry season$).$ Other variables considered availability of swimming pool facilities $($where SW $=1$ ifhotel has swimming pool, $0$ otherwise$)$ and hotel location $($where HL $=1$ if hotel is located by the beach, and $0$ otherwise$).$ Data from $98$ hotels were collected. The correlation matrix and regression outputs below were obtained from the data. Use it to answer the questions form $($i$)$ to $($ix$).$Table $1$: Correlation MatrixHOR AP HR SI D FS TS OS RS SW HL HOR AP HR SIFrom the matric, identify $2$ very good predictors. $(2$ marks$)$ Which $3$ pairs ofvariables are mostly multicollinear?