Qresle, a master's student of the UGBS is conducting a research on high blood pressure (BP). He aims at investigating how the BP of a sample of people in the Cape Coast Municipality is affected by age (A), weight (W), body surface area (BSA), pulse rate (P), stress (S), frequency of exercise (E), the dominant type of diet (carbohydrate, protein, vitamins and fats, where PR=l if dominant diet is protein or 0 otherwise the dominant, VT=l if dominant diet is vitamins or 0 otherwise, FT=1 if dominant diet is fats or otherwise). occupation (Nursing, Fishing, Accounting and Teaching, where TR=1 if occupation is teaching or otherwise, NU=1 if occupation is nursing or 0 otherwise and FR=l if occupation is fishing and 0 otherwise) and gender of respondent (where F=1 if male or 0 otherwise). Use the correlation matrix and dummy variable regression output to answer the questions that follow. A BSA P S E PR VT FT F TR NU FR BP A W BSA P BP 1.00 0.66 0.95 0.87 0.72 0.09 -0.81 -0.68 -0.08 0.00 0.04 -0.13 0.00 0.07 PR VT SE THFHW 1.00 0.41 0.38 0.62 0.31 -0.56 -0.39 0.01 -0.14 -0.02 0.05 -0.14 0.19 1.00 0.88 0.66 -0.03 -0.77 -0.69 -0.09 0.06 0.01 -0.19 0.06 0.00 1.00 0.46 -0.04 -0.58 -0.55 -0.07 -0.12 0.04 -0.23 -0.06 0.02 1.00 0.47 -0.54 -0.64 -0.14 0.31 -0.04 0.06 0.09 -0.16 1.00 -0.14 0.04 -0.30 0.43 -0.10 0.13 0.04 -0.17 1.00 0.39 0.18 0.02 0.02 0.19 -0.31 -0.02 1.00 -0.28 -0.38 -0.07 0.13 0.13 -0.13 1.00 -0.24 0.10 -0.24 0.08 0.40 TR NU FR 1.00 0.29 -0.07 -0.07 -0.07 1.00 0.06 -0.17 0.06 1.00 -0.33 -0.33 1.00 -0.33 1.00 a) From the matrix, identify 2 potential worst regressors. (1 mark) b) Which 3 pairs of variables are most likely to suffer from multicollinearity. Using the variance inflation factor, which variable(s) of the multicollinear pairs may be justifiably deleted? (3 marks) Regression output Residuals: Min 10 Median 30 -0.29464 -0.13843 -0.01450 0.07467 Max 0.59680 VIF 8.16 31.63 17.45 11.37 11.10 10.64 coefficients: Estimate std. Error t value Pr>D (Intercept) -20.975071 5.115875 -4.100 0.000360 *** A 0.808959 0.048132 16.807 1.75e-15 *** W 1.023050 0.055180 18. 540 D (Intercept) -20.975071 5.115875 -4.100 0.000360 *** A 0.808959 0.048132 16.807 1.75e-15 *** W 1.023050 0.055180 18. 540