GPA and SAT Scores. The Scholastic Aptitude Test (or SAT) is a standardized college entrance test that is used by colleges and universities as a means for making admission decisions. The critical reading and mathematics components of the SAT are reported on a scale from 200 to 800 . Several universities believe these scores are strong predictors of an incoming student's potential success, and they use these scores as important inputs when making admission decisions on potential freshman. The file Rugglescollege contains freshman year GPA and the critical reading and mathematics SAT scores for a random sample of 200 students who recently completed their freshman year at Ruggles College. a. Develop an estimated multiple regression equation that includes critical reading and mathematics SAT scores as independent variables. How much variation in freshman GPA is explained by this model? Test whether each of the regression parameters, and is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable? b. The Ruggles College Director of Admissions believes that the relationship between a student's scores on the critical reading component of the SAT and the student's freshman GPA varies with the student's score on the mathematics component of the SAT. Develop an estimated multiple regression equation that includes critical reading and mathematics SAT scores and their interaction as independent variables. How much variation in freshman GPA is explained by this model? Test whether each of the regression parameters 0,1,2 and 3 is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Do these results support the conjecture made by the Ruggles College Director of Admissions? c. Do you prefer the estimated regression model developed in part (a) or part (b)? Explain. d. What other factors could be included in the model as independent variables? \begin{tabular}{|c|c|c|c|c|} \hline 1 & Reading & Math & Freshman GPA & \\ \hline 2 & 550 & 660 & 2.36 & \\ \hline 3 & 530 & 530 & 2.11 & \\ \hline 4 & 660 & 640 & 2.93 & \\ \hline 5 & 610 & 680 & 2.98 & \\ \hline 6 & 700 & 610 & 3.31 & \\ \hline 7 & 560 & 460 & 2.11 & \\ \hline 8 & 580 & 520 & 2.11 & \\ \hline 9 & 600 & 650 & 3.25 & \\ \hline 10 & 590 & 570 & 2.22 & \\ \hline 11 & 640 & 600 & 3.51 & \\ \hline 12 & 480 & 520 & 2.11 & \\ \hline 13 & 690 & 600 & 2.49 & \\ \hline 14 & 570 & 750 & 2.83 & \\ \hline 15 & 740 & 680 & 3.68 & \\ \hline 16 & 530 & 560 & 2.11 & \\ \hline 17 & 590 & 700 & 2.96 & \\ \hline 18 & 700 & 660 & 3.31 & \\ \hline 19 & 480 & 570 & 2.11 & \\ \hline 20 & 510 & 730 & 2.83 & \\ \hline 21 & 520 & 510 & 2.11 & \\ \hline 22 & 790 & 640 & 3.45 & \\ \hline 23 & 560 & 720 & 2.39 & \\ \hline 24 & 530 & 580 & 2.11 & \\ \hline 25 & 620 & 740 & 4.00 & \\ \hline 26 & 500 & 680 & 2.45 & \\ \hline 27 & 610 & 790 & 3.41 & \\ \hline 28 & 730 & 750 & 4.00 & \\ \hline 29 & 610 & 590 & 2.41 & \\ \hline 30 & 550 & 520 & 2.19 & \\ \hline 31 & 700 & 500 & 2.31 & \\ \hline 32 & 730 & 740 & 3.96 & \\ \hline 33 & 540 & 780 & 3.22 & \\ \hline 34 & 480 & 550 & 2.11 & \\ \hline 35 & 730 & 510 & 2.11 & \\ \hline 36 & 730 & 480 & 2.31 & \\ \hline 37 & 480 & 780 & 2.76 & \\ \hline 38 & 710 & 790 & 3.79 & \\ \hline 39 & 740 & 610 & 3.19 & \\ \hline 40 & 800 & 630 & 4.00 & \\ \hline 41 & 690 & 760 & 4.00 & \\ \hline 42 & 670 & 660 & 3.53 & \\ \hline 43 & 690 & 740 & 4.00 & \\ \hline \end{tabular} \begin{tabular}{|l|l|l|l|} \hline & A & B \\ \hline 43 & 690 & 740 & 4.00 \\ \hline 44 & 590 & 490 & 2.11 \\ \hline 45 & 610 & 520 & 2.51 \\ \hline 46 & 730 & 550 & 2.63 \\ \hline 47 & 550 & 690 & 2.76 \\ \hline 48 & 560 & 620 & 2.11 \\ \hline 49 & 720 & 600 & 3.25 \\ \hline 50 & 590 & 690 & 2.93 \\ \hline 51 & 700 & 720 & 3.26 \\ \hline 52 & 540 & 610 & 2.11 \\ \hline 53 & 690 & 770 & 4.00 \\ \hline 54 & 800 & 780 & 4.00 \\ \hline 55 & 580 & 790 & 3.92 \\ \hline 56 & 530 & 640 & 2.11 \\ \hline 57 & 560 & 590 & 2.15 \\ \hline 58 & 640 & 710 & 3.78 \\ \hline 59 & 640 & 790 & 3.41 \\ \hline 60 & 500 & 540 & 2.11 \\ \hline 61 & 780 & 670 & 3.86 \\ \hline 62 & 570 & 580 & 2.73 \\ \hline 63 & 660 & 720 & 4.00 \\ \hline 64 & 650 & 690 & 3.11 \\ \hline 65 & 740 & 500 & 2.11 \\ \hline 66 & 570 & 630 & 2.88 \\ \hline 67 & 550 & 540 & 2.39 \\ \hline 68 & 640 & 770 & 4.00 \\ \hline 69 & 770 & 500 & 2.39 \\ \hline 70 & 720 & 480 & 2.86 \\ \hline 71 & 600 & 620 & 3.25 \\ \hline 72 & 750 & 660 & 3.22 \\ \hline 73 & 490 & 750 & 3.02 \\ \hline 74 & 580 & 640 & 2.93 \\ \hline 75 & 770 & 620 & 3.68 \\ \hline 76 & 530 & 700 & 3.01 \\ \hline 77 & 570 & 730 & 2.33 \\ \hline 78 & 510 & 540 & 2.45 \\ \hline 79 & 630 & 740 & 3.45 \\ \hline 80 & 660 & 770 & 3.76 \\ \hline 81 & 530 & 790 & 3.12 \\ \hline 82 & 740 & 520 & 2.36 \\ \hline 83 & 590 & 770 & 3.92 \\ \hline 84 & 790 & 750 & 4.00 \\ \hline 85 & 620 & 520 & 2.11 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|} \hline 85 & 620 & 520 & 2.11 \\ \hline 86 & 520 & 510 & 2.11 \\ \hline 87 & 770 & 490 & 2.82 \\ \hline 88 & 660 & 570 & 3.35 \\ \hline 89 & 750 & 500 & 3.11 \\ \hline 90 & 560 & 550 & 2.11 \\ \hline 91 & 670 & 550 & 3.26 \\ \hline 92 & 640 & 730 & 3.19 \\ \hline 93 & 730 & 640 & 3.48 \\ \hline 94 & 690 & 710 & 4.00 \\ \hline 95 & 520 & 490 & 2.11 \\ \hline 96 & 660 & 640 & 3.02 \\ \hline 97 & 490 & 780 & 2.51 \\ \hline 98 & 730 & 740 & 4.00 \\ \hline 99 & 550 & 780 & 2.79 \\ \hline 100 & 710 & 590 & 2.88 \\ \hline 101 & 700 & 600 & 2.58 \\ \hline 102 & 540 & 640 & 2.11 \\ \hline 103 & 590 & 680 & 3.41 \\ \hline 104 & 760 & 680 & 3.93 \\ \hline 105 & 670 & 690 & 4.00 \\ \hline 106 & 740 & 690 & 4.00 \\ \hline 107 & 530 & 500 & 2.11 \\ \hline 108 & 560 & 710 & 3.39 \\ \hline 109 & 520 & 590 & 2.22 \\ \hline 110 & 560 & 490 & 2.11 \\ \hline 111 & 790 & 520 & 3.21 \\ \hline 112 & 630 & 710 & 3.51 \\ \hline 113 & 770 & 550 & 2.62 \\ \hline 114 & 790 & 640 & 3.72 \\ \hline 115 & 570 & 600 & 2.26 \\ \hline 116 & 750 & 690 & 3.96 \\ \hline 117 & 700 & 490 & 2.21 \\ \hline 118 & 510 & 630 & 2.11 \\ \hline 119 & 660 & 500 & 2.11 \\ \hline 120 & 520 & 640 & 2.43 \\ \hline 121 & 490 & 720 & 2.63 \\ \hline 122 & 550 & 800 & 2.73 \\ \hline 123 & 490 & 630 & 2.68 \\ \hline 124 & 660 & 490 & 2.39 \\ \hline 125 & 530 & 690 & 3.08 \\ \hline 126 & 680 & 780 & 3.78 \\ \hline 127 & 550 & 560 & 2.48 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|} \hline 127 & 550 & 560 & 2.48 \\ \hline 128 & 700 & 570 & 2.25 \\ \hline 129 & 530 & 610 & 2.41 \\ \hline 130 & 600 & 540 & 2.31 \\ \hline 131 & 530 & 580 & 2.11 \\ \hline 132 & 520 & 630 & 2.58 \\ \hline 133 & 540 & 680 & 2.55 \\ \hline 134 & 670 & 660 & 2.73 \\ \hline 135 & 760 & 730 & 4.00 \\ \hline 136 & 670 & 610 & 3.16 \\ \hline 137 & 560 & 670 & 2.65 \\ \hline 138 & 720 & 610 & 3.43 \\ \hline 139 & 770 & 540 & 3.12 \\ \hline 140 & 660 & 590 & 2.68 \\ \hline 141 & 530 & 530 & 2.11 \\ \hline 142 & 550 & 520 & 2.11 \\ \hline 143 & 710 & 600 & 2.92 \\ \hline 144 & 610 & 590 & 2.83 \\ \hline 145 & 520 & 610 & 2.73 \\ \hline 146 & 780 & 520 & 3.63 \\ \hline 147 & 710 & 530 & 3.01 \\ \hline 148 & 760 & 680 & 4.00 \\ \hline 149 & 650 & 640 & 3.45 \\ \hline 150 & 790 & 680 & 4.00 \\ \hline 151 & 720 & 480 & 2.62 \\ \hline 152 & 520 & 770 & 3.25 \\ \hline 153 & 790 & 530 & 3.73 \\ \hline 154 & 650 & 740 & 3.21 \\ \hline 155 & 720 & 620 & 3.26 \\ \hline 156 & 560 & 630 & 2.63 \\ \hline 157 & 550 & 670 & 3.08 \\ \hline 158 & 490 & 480 & 2.11 \\ \hline 159 & 800 & 670 & 4.00 \\ \hline 160 & 570 & 610 & 2.31 \\ \hline 161 & 570 & 690 & 2.49 \\ \hline 162 & 780 & 790 & 4.00 \\ \hline 163 & 690 & 560 & 2.68 \\ \hline 164 & 610 & 540 & 2.11 \\ \hline 165 & 610 & 790 & 3.65 \\ \hline 166 & 740 & 780 & 4.00 \\ \hline 167 & 480 & 790 & 2.72 \\ \hline 168 & 630 & 750 & 3.92 \\ \hline 169 & 770 & 790 & 4.00 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|} \hline 169 & 770 & 790 & 4.00 \\ \hline 170 & 790 & 530 & 3.06 \\ \hline 171 & 740 & 500 & 2.35 \\ \hline 172 & 700 & 590 & 2.98 \\ \hline 173 & 570 & 730 & 3.63 \\ \hline 174 & 630 & 670 & 3.15 \\ \hline 175 & 740 & 690 & 3.82 \\ \hline 176 & 590 & 540 & 2.76 \\ \hline 177 & 570 & 730 & 2.65 \\ \hline 178 & 760 & 730 & 4.00 \\ \hline 179 & 510 & 670 & 2.31 \\ \hline 180 & 600 & 550 & 2.21 \\ \hline 181 & 720 & 650 & 4.00 \\ \hline 182 & 680 & 540 & 2.88 \\ \hline 183 & 720 & 620 & 3.19 \\ \hline 184 & 740 & 680 & 4.00 \\ \hline 185 & 570 & 790 & 3.39 \\ \hline 186 & 480 & 660 & 2.11 \\ \hline 187 & 650 & 780 & 3.41 \\ \hline 188 & 730 & 490 & 2.33 \\ \hline 189 & 540 & 750 & 2.65 \\ \hline 190 & 620 & 710 & 3.01 \\ \hline 191 & 490 & 580 & 2.11 \\ \hline 192 & 640 & 600 & 2.65 \\ \hline 193 & 710 & 660 & 3.73 \\ \hline 194 & 720 & 550 & 3.25 \\ \hline 195 & 770 & 630 & 3.49 \\ \hline 196 & 500 & 590 & 2.26 \\ \hline 197 & 690 & 650 & 3.86 \\ \hline 198 & 510 & 570 & 2.26 \\ \hline 199 & 550 & 620 & 2.11 \\ \hline 200 & 690 & 780 & 4.00 \\ \hline 201 & 740 & 720 & 4.00 \\ \hline \end{tabular} GPA and SAT Scores. The Scholastic Aptitude Test (or SAT) is a standardized college entrance test that is used by colleges and universities as a means for making admission decisions. The critical reading and mathematics components of the SAT are reported on a scale from 200 to 800 . Several universities believe these scores are strong predictors of an incoming student's potential success, and they use these scores as important inputs when making admission decisions on potential freshman. The file Rugglescollege contains freshman year GPA and the critical reading and mathematics SAT scores for a random sample of 200 students who recently completed their freshman year at Ruggles College. a. Develop an estimated multiple regression equation that includes critical reading and mathematics SAT scores as independent variables. How much variation in freshman GPA is explained by this model? Test whether each of the regression parameters, and is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable? b. The Ruggles College Director of Admissions believes that the relationship between a student's scores on the critical reading component of the SAT and the student's freshman GPA varies with the student's score on the mathematics component of the SAT. Develop an estimated multiple regression equation that includes critical reading and mathematics SAT scores and their interaction as independent variables. How much variation in freshman GPA is explained by this model? Test whether each of the regression parameters 0,1,2 and 3 is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Do these results support the conjecture made by the Ruggles College Director of Admissions? c. Do you prefer the estimated regression model developed in part (a) or part (b)? Explain. d. What other factors could be included in the model as independent variables? \begin{tabular}{|c|c|c|c|c|} \hline 1 & Reading & Math & Freshman GPA & \\ \hline 2 & 550 & 660 & 2.36 & \\ \hline 3 & 530 & 530 & 2.11 & \\ \hline 4 & 660 & 640 & 2.93 & \\ \hline 5 & 610 & 680 & 2.98 & \\ \hline 6 & 700 & 610 & 3.31 & \\ \hline 7 & 560 & 460 & 2.11 & \\ \hline 8 & 580 & 520 & 2.11 & \\ \hline 9 & 600 & 650 & 3.25 & \\ \hline 10 & 590 & 570 & 2.22 & \\ \hline 11 & 640 & 600 & 3.51 & \\ \hline 12 & 480 & 520 & 2.11 & \\ \hline 13 & 690 & 600 & 2.49 & \\ \hline 14 & 570 & 750 & 2.83 & \\ \hline 15 & 740 & 680 & 3.68 & \\ \hline 16 & 530 & 560 & 2.11 & \\ \hline 17 & 590 & 700 & 2.96 & \\ \hline 18 & 700 & 660 & 3.31 & \\ \hline 19 & 480 & 570 & 2.11 & \\ \hline 20 & 510 & 730 & 2.83 & \\ \hline 21 & 520 & 510 & 2.11 & \\ \hline 22 & 790 & 640 & 3.45 & \\ \hline 23 & 560 & 720 & 2.39 & \\ \hline 24 & 530 & 580 & 2.11 & \\ \hline 25 & 620 & 740 & 4.00 & \\ \hline 26 & 500 & 680 & 2.45 & \\ \hline 27 & 610 & 790 & 3.41 & \\ \hline 28 & 730 & 750 & 4.00 & \\ \hline 29 & 610 & 590 & 2.41 & \\ \hline 30 & 550 & 520 & 2.19 & \\ \hline 31 & 700 & 500 & 2.31 & \\ \hline 32 & 730 & 740 & 3.96 & \\ \hline 33 & 540 & 780 & 3.22 & \\ \hline 34 & 480 & 550 & 2.11 & \\ \hline 35 & 730 & 510 & 2.11 & \\ \hline 36 & 730 & 480 & 2.31 & \\ \hline 37 & 480 & 780 & 2.76 & \\ \hline 38 & 710 & 790 & 3.79 & \\ \hline 39 & 740 & 610 & 3.19 & \\ \hline 40 & 800 & 630 & 4.00 & \\ \hline 41 & 690 & 760 & 4.00 & \\ \hline 42 & 670 & 660 & 3.53 & \\ \hline 43 & 690 & 740 & 4.00 & \\ \hline \end{tabular} \begin{tabular}{|l|l|l|l|} \hline & A & B \\ \hline 43 & 690 & 740 & 4.00 \\ \hline 44 & 590 & 490 & 2.11 \\ \hline 45 & 610 & 520 & 2.51 \\ \hline 46 & 730 & 550 & 2.63 \\ \hline 47 & 550 & 690 & 2.76 \\ \hline 48 & 560 & 620 & 2.11 \\ \hline 49 & 720 & 600 & 3.25 \\ \hline 50 & 590 & 690 & 2.93 \\ \hline 51 & 700 & 720 & 3.26 \\ \hline 52 & 540 & 610 & 2.11 \\ \hline 53 & 690 & 770 & 4.00 \\ \hline 54 & 800 & 780 & 4.00 \\ \hline 55 & 580 & 790 & 3.92 \\ \hline 56 & 530 & 640 & 2.11 \\ \hline 57 & 560 & 590 & 2.15 \\ \hline 58 & 640 & 710 & 3.78 \\ \hline 59 & 640 & 790 & 3.41 \\ \hline 60 & 500 & 540 & 2.11 \\ \hline 61 & 780 & 670 & 3.86 \\ \hline 62 & 570 & 580 & 2.73 \\ \hline 63 & 660 & 720 & 4.00 \\ \hline 64 & 650 & 690 & 3.11 \\ \hline 65 & 740 & 500 & 2.11 \\ \hline 66 & 570 & 630 & 2.88 \\ \hline 67 & 550 & 540 & 2.39 \\ \hline 68 & 640 & 770 & 4.00 \\ \hline 69 & 770 & 500 & 2.39 \\ \hline 70 & 720 & 480 & 2.86 \\ \hline 71 & 600 & 620 & 3.25 \\ \hline 72 & 750 & 660 & 3.22 \\ \hline 73 & 490 & 750 & 3.02 \\ \hline 74 & 580 & 640 & 2.93 \\ \hline 75 & 770 & 620 & 3.68 \\ \hline 76 & 530 & 700 & 3.01 \\ \hline 77 & 570 & 730 & 2.33 \\ \hline 78 & 510 & 540 & 2.45 \\ \hline 79 & 630 & 740 & 3.45 \\ \hline 80 & 660 & 770 & 3.76 \\ \hline 81 & 530 & 790 & 3.12 \\ \hline 82 & 740 & 520 & 2.36 \\ \hline 83 & 590 & 770 & 3.92 \\ \hline 84 & 790 & 750 & 4.00 \\ \hline 85 & 620 & 520 & 2.11 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|} \hline 85 & 620 & 520 & 2.11 \\ \hline 86 & 520 & 510 & 2.11 \\ \hline 87 & 770 & 490 & 2.82 \\ \hline 88 & 660 & 570 & 3.35 \\ \hline 89 & 750 & 500 & 3.11 \\ \hline 90 & 560 & 550 & 2.11 \\ \hline 91 & 670 & 550 & 3.26 \\ \hline 92 & 640 & 730 & 3.19 \\ \hline 93 & 730 & 640 & 3.48 \\ \hline 94 & 690 & 710 & 4.00 \\ \hline 95 & 520 & 490 & 2.11 \\ \hline 96 & 660 & 640 & 3.02 \\ \hline 97 & 490 & 780 & 2.51 \\ \hline 98 & 730 & 740 & 4.00 \\ \hline 99 & 550 & 780 & 2.79 \\ \hline 100 & 710 & 590 & 2.88 \\ \hline 101 & 700 & 600 & 2.58 \\ \hline 102 & 540 & 640 & 2.11 \\ \hline 103 & 590 & 680 & 3.41 \\ \hline 104 & 760 & 680 & 3.93 \\ \hline 105 & 670 & 690 & 4.00 \\ \hline 106 & 740 & 690 & 4.00 \\ \hline 107 & 530 & 500 & 2.11 \\ \hline 108 & 560 & 710 & 3.39 \\ \hline 109 & 520 & 590 & 2.22 \\ \hline 110 & 560 & 490 & 2.11 \\ \hline 111 & 790 & 520 & 3.21 \\ \hline 112 & 630 & 710 & 3.51 \\ \hline 113 & 770 & 550 & 2.62 \\ \hline 114 & 790 & 640 & 3.72 \\ \hline 115 & 570 & 600 & 2.26 \\ \hline 116 & 750 & 690 & 3.96 \\ \hline 117 & 700 & 490 & 2.21 \\ \hline 118 & 510 & 630 & 2.11 \\ \hline 119 & 660 & 500 & 2.11 \\ \hline 120 & 520 & 640 & 2.43 \\ \hline 121 & 490 & 720 & 2.63 \\ \hline 122 & 550 & 800 & 2.73 \\ \hline 123 & 490 & 630 & 2.68 \\ \hline 124 & 660 & 490 & 2.39 \\ \hline 125 & 530 & 690 & 3.08 \\ \hline 126 & 680 & 780 & 3.78 \\ \hline 127 & 550 & 560 & 2.48 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|} \hline 127 & 550 & 560 & 2.48 \\ \hline 128 & 700 & 570 & 2.25 \\ \hline 129 & 530 & 610 & 2.41 \\ \hline 130 & 600 & 540 & 2.31 \\ \hline 131 & 530 & 580 & 2.11 \\ \hline 132 & 520 & 630 & 2.58 \\ \hline 133 & 540 & 680 & 2.55 \\ \hline 134 & 670 & 660 & 2.73 \\ \hline 135 & 760 & 730 & 4.00 \\ \hline 136 & 670 & 610 & 3.16 \\ \hline 137 & 560 & 670 & 2.65 \\ \hline 138 & 720 & 610 & 3.43 \\ \hline 139 & 770 & 540 & 3.12 \\ \hline 140 & 660 & 590 & 2.68 \\ \hline 141 & 530 & 530 & 2.11 \\ \hline 142 & 550 & 520 & 2.11 \\ \hline 143 & 710 & 600 & 2.92 \\ \hline 144 & 610 & 590 & 2.83 \\ \hline 145 & 520 & 610 & 2.73 \\ \hline 146 & 780 & 520 & 3.63 \\ \hline 147 & 710 & 530 & 3.01 \\ \hline 148 & 760 & 680 & 4.00 \\ \hline 149 & 650 & 640 & 3.45 \\ \hline 150 & 790 & 680 & 4.00 \\ \hline 151 & 720 & 480 & 2.62 \\ \hline 152 & 520 & 770 & 3.25 \\ \hline 153 & 790 & 530 & 3.73 \\ \hline 154 & 650 & 740 & 3.21 \\ \hline 155 & 720 & 620 & 3.26 \\ \hline 156 & 560 & 630 & 2.63 \\ \hline 157 & 550 & 670 & 3.08 \\ \hline 158 & 490 & 480 & 2.11 \\ \hline 159 & 800 & 670 & 4.00 \\ \hline 160 & 570 & 610 & 2.31 \\ \hline 161 & 570 & 690 & 2.49 \\ \hline 162 & 780 & 790 & 4.00 \\ \hline 163 & 690 & 560 & 2.68 \\ \hline 164 & 610 & 540 & 2.11 \\ \hline 165 & 610 & 790 & 3.65 \\ \hline 166 & 740 & 780 & 4.00 \\ \hline 167 & 480 & 790 & 2.72 \\ \hline 168 & 630 & 750 & 3.92 \\ \hline 169 & 770 & 790 & 4.00 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|} \hline 169 & 770 & 790 & 4.00 \\ \hline 170 & 790 & 530 & 3.06 \\ \hline 171 & 740 & 500 & 2.35 \\ \hline 172 & 700 & 590 & 2.98 \\ \hline 173 & 570 & 730 & 3.63 \\ \hline 174 & 630 & 670 & 3.15 \\ \hline 175 & 740 & 690 & 3.82 \\ \hline 176 & 590 & 540 & 2.76 \\ \hline 177 & 570 & 730 & 2.65 \\ \hline 178 & 760 & 730 & 4.00 \\ \hline 179 & 510 & 670 & 2.31 \\ \hline 180 & 600 & 550 & 2.21 \\ \hline 181 & 720 & 650 & 4.00 \\ \hline 182 & 680 & 540 & 2.88 \\ \hline 183 & 720 & 620 & 3.19 \\ \hline 184 & 740 & 680 & 4.00 \\ \hline 185 & 570 & 790 & 3.39 \\ \hline 186 & 480 & 660 & 2.11 \\ \hline 187 & 650 & 780 & 3.41 \\ \hline 188 & 730 & 490 & 2.33 \\ \hline 189 & 540 & 750 & 2.65 \\ \hline 190 & 620 & 710 & 3.01 \\ \hline 191 & 490 & 580 & 2.11 \\ \hline 192 & 640 & 600 & 2.65 \\ \hline 193 & 710 & 660 & 3.73 \\ \hline 194 & 720 & 550 & 3.25 \\ \hline 195 & 770 & 630 & 3.49 \\ \hline 196 & 500 & 590 & 2.26 \\ \hline 197 & 690 & 650 & 3.86 \\ \hline 198 & 510 & 570 & 2.26 \\ \hline 199 & 550 & 620 & 2.11 \\ \hline 200 & 690 & 780 & 4.00 \\ \hline 201 & 740 & 720 & 4.00 \\ \hline \end{tabular}