exam_grades <- structure(list(semester = c("2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-1", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2000-2", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-1", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2001-2", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2002-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1", "2003-1"), sex = c("Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Woman", "Man", "Man", "Man", "Man", "Man", "Woman", "Man", "Man", "Man", "Woman", "Man", "Woman", "Woman", "Man", "Man", "Man", "Woman", "Man", "Woman", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Woman", "Woman", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Woman", "Man", "Man", "Woman", "Man", "Man", "Man", "Man", "Man", "Woman", "Man", "Man", "Man", "Man", "Woman", "Man", "Man", "Man", "Man", "Man", "Woman", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Woman", "Man", "Woman", "Man", "Man", "Woman", "Man", "Woman", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Woman", "Man", "Man", "Man", "Woman", "Man", "Man", "Man", "Man", "Man", "Woman", "Woman", "Woman", "Woman", "Man", "Man", "Man", "Woman", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Woman", "Man", "Man", "Man", "Man", "Man", "Man", "Woman", "Man", "Woman", "Man", "Man", "Man", "Man", "Woman", "Man", "Woman", "Man", "Woman", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Woman", "Man", "Man", "Woman", "Man", "Man", "Man", "Man", "Woman", "Man", "Woman", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Woman", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Woman", "Woman", "Woman", "Man", "Man", "Man", "Man", "Man", "Man", "Man", "Woman", "Man", "Man", "Woman", "Man", "Man", "Man", "Man", "Man", "Woman", "Man", "Woman", "Man", "Man", "Man", "Man", "Man", "Man", "Woman", "Man", "Man", "Man", "Woman", "Man", "Man", "Man"), exam1 = c(84.5, 80, 56, 64, 90.5, 74, 60.5, 89, 87.5, 91, 79.5, 96, 55, 80, 64.5, 73, 83, 72, 57.899999999999999, 89, 69, 91, 68, 83, 72, 56, 55, 68.5, 68.5, 70, 75, 68.5, 54, 79.599999999999994, 85, 82, 65, 76, 94.5, 72, 65.5, 61.5, 65, 63, 75, 69.5, 60, 84, 90, 62.5, 88.5, 74.5, 73.5, 75, 76.5, 90.5, 88, 87.2727, 81.900000000000006, 65.5, 84.5, 88.900000000000006, 70, 73, 86, 68, 82, 86.400000000000006, 74, 92.299999999999997, 57, 62.5, 75.5, 67, 73, 93, 81.5, 82.5, 46.5, 62, 68.5, 80, 77, 55, 69, 74, 93, 81, 98, 92.5, 83.5, 98, 80.5, 80.900000000000006, 84.5, 93.799999999999997, 98, 92, 91, 80, 94, 90, 94, 86.5, 87, 80.299999999999997, 89.5, 70.5, 89.400000000000006, 79.5, 93.900000000000006, 73.5, 94.799999999999997, 66, 96.299999999999997, 93.299999999999997, 87.299999999999997, 79, 84, 81, 84.5, 90.625, 91.5, 84, 73.200000000000003, 70.5, 92.900000000000006, 68.799999999999997, 91.299999999999997, 78.299999999999997, 71.299999999999997, 74.900000000000006, 90.5, 80.299999999999997, 79, 82.5, 79.700000000000003, 79.5, 79.5, 93, 88.5, 86, 93.799999999999997, 93.900000000000006, 83.299999999999997, 75.099999999999994, 92.900000000000006, 76.5, 84.099999999999994, 87.900000000000006, 79.5, 82, 91.400000000000006, 84.900000000000006, 58, 81.5, 95, 95.5, 77.5, 82, 93.799999999999997, 89, 82, 73.5, 73.5, 79, 71.5, 92.5, 85.5, 93, 75.5, 88.5, 87, 89.5, 97.5, 59, 81, 73.5, 90.5, 70, 98.5, 85.5, 78, 86.5, 99.299999999999997, 90.5, 86.5, 80, 72, 72.5, 77.5, 74, 79, 80, 97.400000000000006, 61.5, 86, 75.714299999999994, 80.714299999999994, 88.214299999999994, 81.785700000000006, 96.071399999999997, NA, 73.571399999999997, 71.071399999999997, 66.428600000000003, 85.714299999999994, 88.928600000000003, 65.714299999999994, 92.5, 86.071399999999997, 75, 95.714299999999994, 88.928600000000003, 94.642899999999997, 92.5, 91.071399999999997, 92.857100000000003, 86.071399999999997, 87.142899999999997, 74.285700000000006, 95.714299999999994, 83.214299999999994, 85, 85.714299999999994, 94.642899999999997, 90.714299999999994, 86.428600000000003, 98.214299999999994, 95, 97.142899999999997, 85, 72.857100000000003), exam2 = c(69.5, 74, 70, 61, 72.5, 78.5, 44, 82, 86.5, 98, 88, 91.5, 79.5, 83.5, 83.5, 90, 79, 91, 53, 83.5, 57, 91, 84.5, 89.5, 77.5, 45, 71, 64, 79.5, 71, 81, 66, 84, 67, 61, 86.5, 83.5, 50, 67, 67, 82.5, 80.5, 50, 82, 66.5, 70.5, 95, 88, 99.5, 85.5, 86.5, 83, 69.5, 60.5, 76, 68, 77.5, 58, 86, 90, 80.5, 67, 56, 48, 77, 60, 74, 72, 83, 76, 70, 41, 62.5, 58, 78, 75, 73, 83.5, 77, 71, 55.5, 84, 77, 94, 74.5, 56, 76, 78, 87, 81, 60.5, 92, 53.5, 68, 46, 59.5, 96.5, 78.5, 72, 72, 84, 73, 82, 76, 76, 88.5, 66.5, 70.5, 84.5, 56, 88, 78.5, 84.5, 62, 82, 93, 81, 81, 81, 81.5, 71.5, 61.5, 58, 72.5, 44, 42.799999999999997, 88.5, 52.100000000000001, 71, 46.5, 43, 65.400000000000006, 71.5, 63, 74.5, 62.5, 84.400000000000006, 77.900000000000006, 68.700000000000003, 70.900000000000006, 79.5, 73, 68.5, 84, 83, 70, 83, 41.5, 88.799999999999997, 58.200000000000003, 66, 53.5, 77, 69.5, 61, 57.5, 68, 80.5, 80.900000000000006, 46, 82.5, 83.5, 78.5, 80, 82.799999999999997, 86.5, 71, 92, 90.5, 47, 66, 74, 96, 77.5, 94.5, 73, 87, 57.5, 53, 62.5, 98, 67, 58, 85, 96, 78.5, 67.5, 94, 95, 69.5, 74, 49.5, 80.5, 82, 66.900000000000006, 64.5, 67, 62.600000000000001, 38, 75.099999999999994, 76, 68.099999999999994, 58, 62.100000000000001, 41.5, 59.100000000000001, 77.099999999999994, 72, 60.5, 63.5, 77.5, 71.900000000000006, 90.099999999999994, 52.5, 90, 80, 39.5, 73.5, 45.5, 81.599999999999994, 52.600000000000001, 78, 64.599999999999994, 78.099999999999994, 68.099999999999994, 94.5, 77.5, 70.099999999999994, 89.099999999999994, 86, 53.5, 63, 48.5), exam3 = c(86.5, 67, 71.5, 67.5, 75, 84.5, 58, 88, 95, 88, 56, 78, 72, 70, 77, 96, 65, 90, 47, 78.5, 88, 95.5, 64, 93, 67, 61, 72, 93, 50.5, 76, 81.5, 58, 88, 72, 44.5, 92.5, 87, 91.5, 96, 90, 79, 81.5, 43.5, 88, 76, 76, 91, 67, 87.5, 85.5, 70, 62.399999999999999, 74.5, 80.900000000000006, 61, 59, 90.5, 28, 62, 61.799999999999997, 72.5, 76, 81.5, 55, 82, 59, 81.5, 69.5, 79.900000000000006, 97, 56, 77.799999999999997, 79.700000000000003, 45.799999999999997, 77.299999999999997, 96, 69.5, 82.5, 47, 64, 52, 48.5, 44, 96, 41.5, 69.900000000000006, 95.5, 79.5, 85.5, 74.5, 78, 90.5, 67.5, 67, 65.5, 73.299999999999997, 98.5, 72, 81, 59.5, 98.5, 63.5, 86.400000000000006, 85.5, 72.5, 83.5, 78.900000000000006, 58, 82.5, 81, 71, 72, 77.5, 80.5, 76, 92.5, 78.5, 91, 91, 70, 76, 59.5, 79.5, 76, 50.899999999999999, 36.399999999999999, 79, 65.400000000000006, 79.5, 63.899999999999999, 67.400000000000006, 51.5, 69.5, 64, 72.5, 77.5, 77.299999999999997, 62, 87, 67.5, 82, 47, 66.400000000000006, 83.5, 78, 61, 84.5, 48, 75.5, 67, 67.5, 52, 76, 37.299999999999997, 47.399999999999999, 65.799999999999997, 82.5, 84.299999999999997, 75, 54, 80.5, 92, 82, 82, 79.5, 97, 58, 93.5, 85, 70, 94, 87, 98.5, 88.900000000000006, 76, 85.5, 86.5, 83, 78.5, 85, 90, 86, 92.5, 85, 89, 79.5, 85.5, 90.5, 78, 92, 82, 82, 80.5, 77, 83, 86, 96.799999999999997, 45.555599999999998, 78.333299999999994, 70, 68.333299999999994, 74.444400000000002, 78.333299999999994, 97.777799999999999, 55.555599999999998, 85.555599999999998, 83.333299999999994, 93.333299999999994, 30, 92.777799999999999, 96.666700000000006, 88.333299999999994, 98.888900000000007, 62.5, 90, 96.111099999999993, 78.888900000000007, 92.111099999999993, 55.555599999999998, 73.888900000000007, 47.222200000000001, 84.444400000000002, 58.8889, 82.222200000000001, 72, 96.111099999999993, 78.222200000000001, 88.333299999999994, 71.111099999999993, 78.333299999999994, 67.222200000000001, 75, 90.555599999999998), course_grade = c(76.256399999999999, 75.388199999999998, 67.056399999999996, 63.453800000000001, 72.394900000000007, 71.412800000000004, 56.094900000000003, 78.010300000000001, 82.902600000000007, 89.084599999999995, 72.976900000000001, 82.528199999999998, 69.987200000000001, 67.7256, 80.305099999999996, 74.874399999999994, 71.161500000000004, 76.561499999999995, 56.990299999999998, 80.802599999999998, 69.430800000000005, 92.005099999999999, 67.905100000000004, 79.787199999999999, 67.125600000000006, 58.630800000000001, 67.830799999999996, 77.690299999999993, 69.930800000000005, 69.676900000000003, 68.092299999999994, 60.312800000000003, 72.382099999999994, 67.478700000000003, 66.236400000000003, 83.323099999999997, 77.643600000000006, 70.946200000000005, 86.013300000000001, 72.026899999999998, 77.028199999999998, 68.2821, 43.273299999999999, 70.103099999999998, 65.084599999999995, 68.653800000000004, 83.050799999999995, 75.085599999999999, 74.471800000000002, 74.482100000000003, 77.952600000000004, 78.755399999999995, 69.022800000000004, 68.650199999999998, 73.670199999999994, 69.784199999999998, 84.147400000000005, 49.193100000000001, 73.911600000000007, 68.542500000000004, 81.208799999999997, 80.555400000000006, 68.783900000000003, 65.308800000000005, 79.603499999999997, 58.431600000000003, 76.684200000000004, 67.5625, 74.572999999999993, 87.028800000000004, 65.3947, 59.886299999999999, 73.543499999999995, 58.382800000000003, 79.235399999999998, 71.322800000000001, 65.529499999999999, 81.447400000000002, 62.8842, 69.470200000000006, 61.826300000000003, 70.094700000000003, 68.040400000000005, 83.519300000000001, 59.038600000000002, 65.020399999999995, 85.5, 75.7333, 86.583299999999994, 77.283299999999997, 73.633300000000006, 91.858500000000006, 62.955500000000001, 72.760000000000005, 60.616700000000002, 70.006699999999995, 97.566699999999997, 73.283299999999997, 75.116699999999994, 69.700000000000003, 88.866699999999994, 72.900000000000006, 80.326700000000002, 76.200000000000003, 70.744200000000006, 85.969999999999999, 72.526700000000005, 57, 83.868499999999997, 68.25, 80.060000000000002, 77.033299999999997, 84.170000000000002, 70.933300000000003, 79.986699999999999, 89.803299999999993, 85.736699999999999, 78.122200000000007, 75.033299999999997, 74.216700000000003, 73.9833, 66.695800000000006, 74.988799999999998, 75.700000000000003, 47.899999999999999, 48.049999999999997, 86.650000000000006, 55.950000000000003, 77.825000000000003, 56.725000000000001, 58.375, 56.075000000000003, 78.5, 64.700000000000003, 68.325000000000003, 73.5, 75.549999999999997, 68.349999999999994, 81.75, 70.424999999999997, 80.5, 66, 74.875, 88.224999999999994, 82.575000000000003, 64.025000000000006, 84.150000000000006, 53.075000000000003, 81.549999999999997, 63.524999999999999, 69.125, 54.5, 76.099999999999994, 60.299999999999997, 57.600000000000001, 60.325000000000003, 76.75, 75.775000000000006, 76.424999999999997, 53, 84.650000000000006, 77.119699999999995, 61.797199999999997, 73.556299999999993, 69.945899999999995, 80.532399999999996, 62.433100000000003, 82.200000000000003, 86.790099999999995, 59.821800000000003, 69.064800000000005, 78.208500000000001, 84.057699999999997, 69.210999999999999, 78.930999999999997, 58.260599999999997, 72.135199999999998, 61.771299999999997, 60.791499999999999, 64.522499999999994, 80.376099999999994, 67.653499999999994, 65.183099999999996, 73.597200000000001, 91.486800000000002, 73.063400000000001, 70.074600000000004, 88.430999999999997, 77.350700000000003, 73.564800000000005, 73.149299999999997, 64.668999999999997, 71.984499999999997, 67.798599999999993, 74.927599999999998, 63.765099999999997, 73.7346, 59.554900000000004, 65.220200000000006, 72.367000000000004, 74.111999999999995, 70.442300000000003, 46.723100000000002, 69.102999999999994, 53.934800000000003, 68.514899999999997, 79.881, 82.3626, 48.5152, 80.365499999999997, 80.352699999999999, 70.360600000000005, 93.300299999999993, 61.1081, 87.643100000000004, 87.947699999999998, 67.914299999999997, 86.278800000000004, 59.870100000000001, 76.430400000000006, 56.321100000000001, 83.208600000000004, 68.073099999999997, 70.541600000000003, 66.120199999999997, 90.718999999999994, 77.534000000000006, 74.555300000000003, 85.520799999999994, 83.695899999999995, 72.118899999999996, 67.199600000000004, 66.403499999999994)), class = c("spec_tbl_df", "tbl_df", "tbl", "data.frame"), row.names = c(NA, -233L), spec = structure(list( cols = list(semester = structure(list(), class = c("collector_character", "collector")), sex = structure(list(), class = c("collector_character", "collector")), exam1 = structure(list(), class = c("collector_double", "collector")), exam2 = structure(list(), class = c("collector_double", "collector")), exam3 = structure(list(), class = c("collector_double", "collector")), course_grade = structure(list(), class = c("collector_double", "collector"))), default = structure(list(), class = c("collector_guess", "collector")), skip = 1), class = "col_spec"))