(b) (10 points) Is it possible to remove variables Year and Units from Model 1'? Model 2 uses only the predictors Ratio and iMale. Conduct a hypothesis test and make an appropriate conclusion about which model should be used. Be sure to state your hypotheses, calculate your test statistic, and make a conclusion in context; you may assume relevant assumptions are met. 10g (13(%) : 50 + latio + giMale (Backpack Model 2) Backpack Problem CO L Year 0 0 0 0 06 0 Back Probe? O No O - 0.05 0.10 0.15 Ratio #(I) Backpack Model 1: log 1-0(1) = Bo + 1 Ratio + AziMale + 83 Units + 84 Year Coofficiants: Estimate Std. Error z value Pr(>|21) (Intercept) -2.26402 1. 83701 -1.169 0. 2425 Ratio 9. 35392 6.28989 1.487 0. 1370 SexMale -1. 18145 0. 48834 -2.419 0. 0155 + Units 0.07894 0. 12005 0.653 0. 5141 0. 02732 D. 16980 0. 161 0. 8722 Null deviance : 125.37 on 99 degrees of freedom Residual deviance: 114.40 on 95 degrees of froodom ATC: 124.48 A(I) Backpack Model 2: log = Bo + BiRatio + BaiMale Coofficiants: Estimate Std. Error z value Pr()|al) (Intercept) -1.0496 D. 6769 -1.822 0.0684 Ratio 9.7786 6.2046 1.576 0. 1150 SexMale -1.2329 0. 4810 -2.563 0.0104 . Null deviance: 125.37 on 99 degrees of freedom Residual deviance: 114.93 on 97 degrees of freedom AIC: 120.93 >pching (114.45,96, lover, tail-F) [1] 0.03456299 3 pching (114.93,97, lover. tail-F) [1] 0. 1033376 >pching (0.45, 2, lower. tail-F) [1] 0.7985162