Professor Gill has taught General Psychology for many years. During the semester, she gives three multiple-choice exams, each worth 100 points. At the end of the course, Dr. Gill gives a comprehensive final worth 200 points. Let x1, x2, and x3 represent a student's scores on exams 1, 2, and 3, respectively. Let x4 represent the student's score on the final exam. Last semester Dr. Gill had 25 students in her class. The student exam scores are shown below. x1 x2 x3 x4 73 80 75 152 93 88 93 185 89 91 90 180 96 98 100 196 73 66 70 142 53 46 55 101 69 74 77 149 47 56 60 115 87 79 90 175 79 70 88 164 69 70 73 141 70 65 74 141 93 95 91 184 79 80 73 152 70 73 78 148 93 89 96 192 78 75 68 147 81 90 93 183 88 92 86 177 78 83 77 159 82 86 90 177 86 82 89 175 78 83 85 175 76 83 71 149 96 93 95 192 Since Professor Gill has not changed the course much from last semester to the present semester, the preceding data should be useful for constructing a regression model that describes this semester as well. (a) Generate summary statistics, including the mean and standard deviation of each variable. Compute the coefficient of variation for each variable. (Use 2 decimal places.) x s CV x1 % x2 % x3 % x4 %
Professor Gill has taught General Psychology for many years. During the semester, she gives three multiple-choice exams, each worth 100 points. At the end of the course, Dr. Gill gives a comprehensive final worth 200 points. Let x1, x2, and x3 represent a student's scores on exams 1, 2, and 3, respectively. Let x4 represent the student's score on the final exam. Last semester Dr. Gill had 25 students in her class. The student exam scores are shown below. x1 x2 x3 x4 73 80 75 152 93 88 93 185 89 91 90 180 96 98 100 196 73 66 70 142 53 46 55 101 69 74 77 149 47 56 60 115 87 79 90 175 79 70 88 164 69 70 73 141 70 65 74 141 93 95 91 184 79 80 73 152 70 73 78 148 93 89 96 192 78 75 68 147 81 90 93 183 88 92 86 177 78 83 77 159 82 86 90 177 86 82 89 175 78 83 85 175 76 83 71 149 96 93 95 192 Since Professor Gill has not changed the course much from last semester to the present semester, the preceding data should be useful for constructing a regression model that describes this semester as well. (a) Generate summary statistics, including the mean and standard deviation of each variable. Compute the coefficient of variation for each variable. (Use 2 decimal places.) x s CV x1 % x2 % x3 % x4 %
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
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Professor Gill has taught General Psychology for many years. During the semester, she gives three multiple-choice exams, each worth 100 points. At the end of the course, Dr. Gill gives a comprehensive final worth 200 points. Let x1, x2, and x3 represent a student's scores on exams 1, 2, and 3, respectively. Let x4 represent the student's score on the final exam. Last semester Dr. Gill had 25 students in her class. The student exam scores are shown below.
x1 | x2 | x3 | x4 |
73 | 80 | 75 | 152 |
93 | 88 | 93 | 185 |
89 | 91 | 90 | 180 |
96 | 98 | 100 | 196 |
73 | 66 | 70 | 142 |
53 | 46 | 55 | 101 |
69 | 74 | 77 | 149 |
47 | 56 | 60 | 115 |
87 | 79 | 90 | 175 |
79 | 70 | 88 | 164 |
69 | 70 | 73 | 141 |
70 | 65 | 74 | 141 |
93 | 95 | 91 | 184 |
79 | 80 | 73 | 152 |
70 | 73 | 78 | 148 |
93 | 89 | 96 | 192 |
78 | 75 | 68 | 147 |
81 | 90 | 93 | 183 |
88 | 92 | 86 | 177 |
78 | 83 | 77 | 159 |
82 | 86 | 90 | 177 |
86 | 82 | 89 | 175 |
78 | 83 | 85 | 175 |
76 | 83 | 71 | 149 |
96 | 93 | 95 | 192 |
Since Professor Gill has not changed the course much from last semester to the present semester, the preceding data should be useful for constructing a regression model that describes this semester as well.
(a) Generate summary statistics, including the mean and standard deviation of each variable. Compute the coefficient of variation for each variable. (Use 2 decimal places.)
x | s | CV | |
x1 | % | ||
x2 | % | ||
x3 | % | ||
x4 | % |
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