This dataset has data on 400 cases. There is a binary response (outcome, dependent) variable called admit and there are three predictor variables: gre, gpa, and rank. We will treat the variables gre and gpa as continuous. The variable rank takes on the values 1 through 4. Institutions with a rank of 1 have the highest prestige, while those with a rank of 4 have the lowest. The dataset also contains four dummy variables, one for each level of rank, named rank1 to rank4, for example, rank1 is equal to 1 when rank=1, and 0 otherwise. Lets start by running a model with type=basic. 0,380,3.61,3,0,0,1,0 1,660,3.67,3,0,0,1,0 1,800,4,1,1,0,0,0 1,640,3.19,4,0,0,0,1 0,520,2.93,4,0,0,0,1 1,760,3,2,0,1,0,0 1,560,2.98,1,1,0,0,0 0,400,3.08,2,0,1,0,0 1,540,3.39,3,0,0,1,0 0,700,3.92,2,0,1,0,0 0,800,4,4,0,0,0,1 0,440,3.22,1,1,0,0,0 1,760,4,1,1,0,0,0 0,700,3.08,2,0,1,0,0 1,700,4,1,1,0,0,0 0,480,3.44,3,0,0,1,0 0,780,3.87,4,0,0,0,1 0,360,2.56,3,0,0,1,0 0,800,3.75,2,0,1,0,0 1,540,3.81,1,1,0,0,0 0,500,3.17,3,0,0,1,0 1,660,3.63,2,0,1,0,0 0,600,2.82,4,0,0,0,1 0,680,3.19,4,0,0,0,1 1,760,3.35,2,0,1,0,0 1,800,3.66,1,1,0,0,0 1,620,3.61,1,1,0,0,0 1,520,3.74,4,0,0,0,1 1,780,3.22,2,0,1,0,0 0,520,3.29,1,1,0,0,0 0,540,3.78,4,0,0,0,1 0,760,3.35,3,0,0,1,0 0,600,3.4,3,0,0,1,0 1,800,4,3,0,0,1,0 0,360,3.14,1,1,0,0,0 0,400,3.05,2,0,1,0,0 0,580,3.25,1,1,0,0,0 0,520,2.9,3,0,0,1,0 1,500,3.13,2,0,1,0,0 1,520,2.68,3,0,0,1,0 0,560,2.42,2,0,1,0,0 1,580,3.32,2,0,1,0,0 1,600,3.15,2,0,1,0,0 0,500,3.31,3,0,0,1,0 0,700,2.94,2,0,1,0,0 1,460,3.45,3,0,0,1,0 1,580,3.46,2,0,1,0,0 0,500,2.97,4,0,0,0,1 0,440,2.48,4,0,0,0,1 0,400,3.35,3,0,0,1,0 0,640,3.86,3,0,0,1,0 0,440,3.13,4,0,0,0,1 0,740,3.37,4,0,0,0,1 1,680,3.27,2,0,1,0,0 0,660,3.34,3,0,0,1,0 1,740,4,3,0,0,1,0 0,560,3.19,3,0,0,1,0 0,380,2.94,3,0,0,1,0 0,400,3.65,2,0,1,0,0 0,600,2.82,4,0,0,0,1 1,620,3.18,2,0,1,0,0 0,560,3.32,4,0,0,0,1 0,640,3.67,3,0,0,1,0 1,680,3.85,3,0,0,1,0 0,580,4,3,0,0,1,0 0,600,3.59,2,0,1,0,0 0,740,3.62,4,0,0,0,1 0,620,3.3,1,1,0,0,0 0,580,3.69,1,1,0,0,0 0,800,3.73,1,1,0,0,0 0,640,4,3,0,0,1,0 0,300,2.92,4,0,0,0,1 0,480,3.39,4,0,0,0,1 0,580,4,2,0,1,0,0 0,720,3.45,4,0,0,0,1 0,720,4,3,0,0,1,0 0,560,3.36,3,0,0,1,0 1,800,4,3,0,0,1,0 0,540,3.12,1,1,0,0,0 1,620,4,1,1,0,0,0 0,700,2.9,4,0,0,0,1 0,620,3.07,2,0,1,0,0 0,500,2.71,2,0,1,0,0 0,380,2.91,4,0,0,0,1 1,500,3.6,3,0,0,1,0 0,520,2.98,2,0,1,0,0 0,600,3.32,2,0,1,0,0 0,600,3.48,2,0,1,0,0 0,700,3.28,1,1,0,0,0 1,660,4,2,0,1,0,0 0,700,3.83,2,0,1,0,0 1,720,3.64,1,1,0,0,0 0,800,3.9,2,0,1,0,0 0,580,2.93,2,0,1,0,0 1,660,3.44,2,0,1,0,0 0,660,3.33,2,0,1,0,0 0,640,3.52,4,0,0,0,1 0,480,3.57,2,0,1,0,0 0,700,2.88,2,0,1,0,0 0,400,3.31,3,0,0,1,0 0,340,3.15,3,0,0,1,0 0,580,3.57,3,0,0,1,0 0,380,3.33,4,0,0,0,1 0,540,3.94,3,0,0,1,0 1,660,3.95,2,0,1,0,0 1,740,2.97,2,0,1,0,0 1,700,3.56,1,1,0,0,0 0,480,3.13,2,0,1,0,0 0,400,2.93,3,0,0,1,0 0,480,3.45,2,0,1,0,0 0,680,3.08,4,0,0,0,1 0,420,3.41,4,0,0,0,1 0,360,3,3,0,0,1,0 0,600,3.22,1,1,0,0,0 0,720,3.84,3,0,0,1,0 0,620,3.99,3,0,0,1,0 1,440,3.45,2,0,1,0,0 0,700,3.72,2,0,1,0,0 1,800,3.7,1,1,0,0,0 0,340,2.92,3,0,0,1,0 1,520,3.74,2,0,1,0,0 1,480,2.67,2,0,1,0,0 0,520,2.85,3,0,0,1,0 0,500,2.98,3,0,0,1,0 0,720,3.88,3,0,0,1,0 0,540,3.38,4,0,0,0,1 1,600,3.54,1,1,0,0,0 0,740,3.74,4,0,0,0,1 0,540,3.19,2,0,1,0,0 0,460,3.15,4,0,0,0,1 1,620,3.17,2,0,1,0,0 0,640,2.79,2,0,1,0,0 0,580,3.4,2,0,1,0,0 0,500,3.08,3,0,0,1,0 0,560,2.95,2,0,1,0,0 0,500,3.57,3,0,0,1,0 0,560,3.33,4,0,0,0,1 0,700,4,3,0,0,1,0 0,620,3.4,2,0,1,0,0 1,600,3.58,1,1,0,0,0 0,640,3.93,2,0,1,0,0 1,700,3.52,4,0,0,0,1 0,620,3.94,4,0,0,0,1 0,580,3.4,3,0,0,1,0 0,580,3.4,4,0,0,0,1 0,380,3.43,3,0,0,1,0 0,480,3.4,2,0,1,0,0 0,560,2.71,3,0,0,1,0 1,480,2.91,1,1,0,0,0 0,740,3.31,1,1,0,0,0 1,800,3.74,1,1,0,0,0 0,400,3.38,2,0,1,0,0 1,640,3.94,2,0,1,0,0 0,580,3.46,3,0,0,1,0 0,620,3.69,3,0,0,1,0 1,580,2.86,4,0,0,0,1 0,560,2.52,2,0,1,0,0 1,480,3.58,1,1,0,0,0 0,660,3.49,2,0,1,0,0 0,700,3.82,3,0,0,1,0 0,600,3.13,2,0,1,0,0 0,640,3.5,2,0,1,0,0 1,700,3.56,2,0,1,0,0 0,520,2.73,2,0,1,0,0 0,580,3.3,2,0,1,0,0 0,700,4,1,1,0,0,0 0,440,3.24,4,0,0,0,1 0,720,3.77,3,0,0,1,0 0,500,4,3,0,0,1,0 0,600,3.62,3,0,0,1,0 0,400,3.51,3,0,0,1,0 0,540,2.81,3,0,0,1,0 0,680,3.48,3,0,0,1,0 1,800,3.43,2,0,1,0,0 0,500,3.53,4,0,0,0,1 1,620,3.37,2,0,1,0,0 0,520,2.62,2,0,1,0,0 1,620,3.23,3,0,0,1,0 0,620,3.33,3,0,0,1,0 0,300,3.01,3,0,0,1,0 0,620,3.78,3,0,0,1,0 0,500,3.88,4,0,0,0,1 0,700,4,2,0,1,0,0 1,540,3.84,2,0,1,0,0 0,500,2.79,4,0,0,0,1 0,800,3.6,2,0,1,0,0 0,560,3.61,3,0,0,1,0 0,580,2.88,2,0,1,0,0 0,560,3.07,2,0,1,0,0 0,500,3.35,2,0,1,0,0 1,640,2.94,2,0,1,0,0 0,800,3.54,3,0,0,1,0 0,640,3.76,3,0,0,1,0 0,380,3.59,4,0,0,0,1 1,600,3.47,2,0,1,0,0 0,560,3.59,2,0,1,0,0 0,660,3.07,3,0,0,1,0 1,400,3.23,4,0,0,0,1 0,600,3.63,3,0,0,1,0 0,580,3.77,4,0,0,0,1 0,800,3.31,3,0,0,1,0 1,580,3.2,2,0,1,0,0 1,700,4,1,1,0,0,0 0,420,3.92,4,0,0,0,1 1,600,3.89,1,1,0,0,0 1,780,3.8,3,0,0,1,0 0,740,3.54,1,1,0,0,0 1,640,3.63,1,1,0,0,0 0,540,3.16,3,0,0,1,0 0,580,3.5,2,0,1,0,0 0,740,3.34,4,0,0,0,1 0,580,3.02,2,0,1,0,0 0,460,2.87,2,0,1,0,0 0,640,3.38,3,0,0,1,0 1,600,3.56,2,0,1,0,0 1,660,2.91,3,0,0,1,0 0,340,2.9,1,1,0,0,0 1,460,3.64,1,1,0,0,0 0,460,2.98,1,1,0,0,0 1,560,3.59,2,0,1,0,0 0,540,3.28,3,0,0,1,0 0,680,3.99,3,0,0,1,0 1,480,3.02,1,1,0,0,0 0,800,3.47,3,0,0,1,0 0,800,2.9,2,0,1,0,0 1,720,3.5,3,0,0,1,0 0,620,3.58,2,0,1,0,0 0,540,3.02,4,0,0,0,1 0,480,3.43,2,0,1,0,0 1,720,3.42,2,0,1,0,0 0,580,3.29,4,0,0,0,1 0,600,3.28,3,0,0,1,0 0,380,3.38,2,0,1,0,0 0,420,2.67,3,0,0,1,0 1,800,3.53,1,1,0,0,0 0,620,3.05,2,0,1,0,0 1,660,3.49,2,0,1,0,0 0,480,4,2,0,1,0,0 0,500,2.86,4,0,0,0,1 0,700,3.45,3,0,0,1,0 0,440,2.76,2,0,1,0,0 1,520,3.81,1,1,0,0,0 1,680,2.96,3,0,0,1,0 0,620,3.22,2,0,1,0,0 0,540,3.04,1,1,0,0,0 0,800,3.91,3,0,0,1,0 0,680,3.34,2,0,1,0,0 0,440,3.17,2,0,1,0,0 0,680,3.64,3,0,0,1,0 0,640,3.73,3,0,0,1,0 0,660,3.31,4,0,0,0,1 0,620,3.21,4,0,0,0,1 1,520,4,2,0,1,0,0 1,540,3.55,4,0,0,0,1 1,740,3.52,4,0,0,0,1 0,640,3.35,3,0,0,1,0 1,520,3.3,2,0,1,0,0 1,620,3.95,3,0,0,1,0 0,520,3.51,2,0,1,0,0 0,640,3.81,2,0,1,0,0 0,680,3.11,2,0,1,0,0 0,440,3.15,2,0,1,0,0 1,520,3.19,3,0,0,1,0 1,620,3.95,3,0,0,1,0 1,520,3.9,3,0,0,1,0 0,380,3.34,3,0,0,1,0 0,560,3.24,4,0,0,0,1 1,600,3.64,3,0,0,1,0 1,680,3.46,2,0,1,0,0 0,500,2.81,3,0,0,1,0 1,640,3.95,2,0,1,0,0 0,540,3.33,3,0,0,1,0 1,680,3.67,2,0,1,0,0 0,660,3.32,1,1,0,0,0 0,520,3.12,2,0,1,0,0 1,600,2.98,2,0,1,0,0 0,460,3.77,3,0,0,1,0 1,580,3.58,1,1,0,0,0 1,680,3,4,0,0,0,1 1,660,3.14,2,0,1,0,0 0,660,3.94,2,0,1,0,0 0,360,3.27,3,0,0,1,0 0,660,3.45,4,0,0,0,1 0,520,3.1,4,0,0,0,1 1,440,3.39,2,0,1,0,0 0,600,3.31,4,0,0,0,1 1,800,3.22,1,1,0,0,0 1,660,3.7,4,0,0,0,1 0,800,3.15,4,0,0,0,1 0,420,2.26,4,0,0,0,1 1,620,3.45,2,0,1,0,0 0,800,2.78,2,0,1,0,0 0,680,3.7,2,0,1,0,0 0,800,3.97,1,1,0,0,0 0,480,2.55,1,1,0,0,0 0,520,3.25,3,0,0,1,0 0,560,3.16,1,1,0,0,0 0,460,3.07,2,0,1,0,0 0,540,3.5,2,0,1,0,0 0,720,3.4,3,0,0,1,0 0,640,3.3,2,0,1,0,0 1,660,3.6,3,0,0,1,0 1,400,3.15,2,0,1,0,0 1,680,3.98,2,0,1,0,0 0,220,2.83,3,0,0,1,0 0,580,3.46,4,0,0,0,1 1,540,3.17,1,1,0,0,0 0,580,3.51,2,0,1,0,0 0,540,3.13,2,0,1,0,0 0,440,2.98,3,0,0,1,0 0,560,4,3,0,0,1,0 0,660,3.67,2,0,1,0,0 0,660,3.77,3,0,0,1,0 1,520,3.65,4,0,0,0,1 0,540,3.46,4,0,0,0,1 1,300,2.84,2,0,1,0,0 1,340,3,2,0,1,0,0 1,780,3.63,4,0,0,0,1 1,480,3.71,4,0,0,0,1 0,540,3.28,1,1,0,0,0 0,460,3.14,3,0,0,1,0 0,460,3.58,2,0,1,0,0 0,500,3.01,4,0,0,0,1 0,420,2.69,2,0,1,0,0 0,520,2.7,3,0,0,1,0 0,680,3.9,1,1,0,0,0 0,680,3.31,2,0,1,0,0 1,560,3.48,2,0,1,0,0 0,580,3.34,2,0,1,0,0 0,500,2.93,4,0,0,0,1 0,740,4,3,0,0,1,0 0,660,3.59,3,0,0,1,0 0,420,2.96,1,1,0,0,0 0,560,3.43,3,0,0,1,0 1,460,3.64,3,0,0,1,0 1,620,3.71,1,1,0,0,0 0,520,3.15,3,0,0,1,0 0,620,3.09,4,0,0,0,1 0,540,3.2,1,1,0,0,0 1,660,3.47,3,0,0,1,0 0,500,3.23,4,0,0,0,1 1,560,2.65,3,0,0,1,0 0,500,3.95,4,0,0,0,1 0,580,3.06,2,0,1,0,0 0,520,3.35,3,0,0,1,0 0,500,3.03,3,0,0,1,0 0,600,3.35,2,0,1,0,0 0,580,3.8,2,0,1,0,0 0,400,3.36,2,0,1,0,0 0,620,2.85,2,0,1,0,0 1,780,4,2,0,1,0,0 0,620,3.43,3,0,0,1,0 1,580,3.12,3,0,0,1,0 0,700,3.52,2,0,1,0,0 1,540,3.78,2,0,1,0,0 1,760,2.81,1,1,0,0,0 0,700,3.27,2,0,1,0,0 0,720,3.31,1,1,0,0,0 1,560,3.69,3,0,0,1,0 0,720,3.94,3,0,0,1,0 1,520,4,1,1,0,0,0 1,540,3.49,1,1,0,0,0 0,680,3.14,2,0,1,0,0 0,460,3.44,2,0,1,0,0 1,560,3.36,1,1,0,0,0 0,480,2.78,3,0,0,1,0 0,460,2.93,3,0,0,1,0 0,620,3.63,3,0,0,1,0 0,580,4,1,1,0,0,0 0,800,3.89,2,0,1,0,0 1,540,3.77,2,0,1,0,0 1,680,3.76,3,0,0,1,0 1,680,2.42,1,1,0,0,0 1,620,3.37,1,1,0,0,0 0,560,3.78,2,0,1,0,0 0,560,3.49,4,0,0,0,1 0,620,3.63,2,0,1,0,0 1,800,4,2,0,1,0,0 0,640,3.12,3,0,0,1,0 0,540,2.7,2,0,1,0,0 0,700,3.65,2,0,1,0,0 1,540,3.49,2,0,1,0,0 0,540,3.51,2,0,1,0,0 0,660,4,1,1,0,0,0 1,480,2.62,2,0,1,0,0 0,420,3.02,1,1,0,0,0 1,740,3.86,2,0,1,0,0 0,580,3.36,2,0,1,0,0 0,640,3.17,2,0,1,0,0 0,640,3.51,2,0,1,0,0 1,800,3.05,2,0,1,0,0 1,660,3.88,2,0,1,0,0 1,600,3.38,3,0,0,1,0 1,620,3.75,2,0,1,0,0 1,460,3.99,3,0,0,1,0 0,620,4,2,0,1,0,0 0,560,3.04,3,0,0,1,0 0,460,2.63,2,0,1,0,0 0,700,3.65,2,0,1,0,0 0,600,3.89,3,0,0,1,0