Layout References Mailings Review View Help 1 SUMMARY OUTPUT 2 Regression Statistics 4 Multiple R 0.81297638 5 R Square 0,660930595 6/ Adjusted R Square 0.6539394737 7 Standard Error 10.66478616 8 Observations 1iliili 199 9 10 ANOVA 11 SS MS Significance F 12 Regression 43010.38063 10752 5952 94.5385617 1.785025-44 13 Residual 194 22065.1068 113,737664 14 Total 198 65075.48744 15 16 Coefficients Standard Error t Stat P-value Lower 95% \\Upper 95% 17 Intercept 52.74841127 6.982846974 7.55399788 1.62128-12 1 38.9763689 66.52045364 18 previous 0,703533477 0.050988627 13.7978511 1.2668E-30 0.602970264 0.804096689 19 protein -5.619238353 1.467647562 -3.8287382 0.00017375 -8.51383199 -2.72464472 20 days -0.031755454 0.015311193 -2.0740026 0.03939943 0.061953223 -0.00155769 21 179 -10.7/753193 2.778152126 -3,8793887 0.00014337 -16.25679117 \\-5.2982727 22 23 24 25 RESIDUAL OUTPUT 26 27 Observation Predicted currentmilk Residuals SSresiduals currentmilk y-ybar sstotal \\what-ybar \\Ssregression 28 33.72933397 11.27066603 127.027913 45 19.82 392.8324 -31 090666 966.6295139 29 89.41952719 -3.419527189 11.6931662 86 21.18 448.5924 24.5995272 \\605.1367379 30 64.65424533 -14.65424533 214,746906 50 14 82 219 6324 0.16575467 0.027474611 31 58.46405421 =16,46405421 271.065081 42 -22 82 520.7524 -6.35594579 40.39804683 32 73,26291787 -12.26291787 150.379155 61 -3.82 14.5924 8 44291787 71.28286224 33 99.89031409 -6,890314091 47.4764283 93 28.18 794.1124 35 0703141 1229.92693 100.6991876 -9.69918756 94.0742393 91 26-18 685.3924 35 8791876 1287.3161 98.30988151 -8.309881506 69.0541306 90 25.18 634.0324 33.4898815 \\1121/572163 36 68.90760039 -15.90760039 253.05175 53 -11.82 139.7124 4.08760039 16.70847696 37 10 91 71396429 -7.71396429 59.5052451 84 19.18 367.8724 26.8939643 723.2853152 38 11 47.15447872 22.84552128 521.917843 70 5.18 26.8324 -17.6655213 \\312.0706422 (E) A reduced model is proposed, one that incorporates four predictor variables. Is this model better than the full model? Explain why or why not. Be sure to perform a hypothesis test to support your conclusion. Show all of the mathematics behind your hypothesis test. (15 points) (F) What is your final multiple regression equation? Predict the current milk production (in pounds) for a cow that produced 86 pounds of milk last month, which has 4.1% 'of protein in her milk, and had last given milk 25 days ago. (7 points)