Decide if gender of the students has a significant influence on the relationship between exam 2 and final results. Assume that the intercepts of the models for males and females are the same. Do not test for equality of intercepts. Are the slopes of the relationships between final and exam2 scores difference for males and females? Test on 10% significance. Include complex and simple model, hypotheses, test statistic, pvalue, and final regression equations for men and women

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Decide if gender of the students has a significant influence on the relationship between exam 2 and final results. Assume that the intercepts of the models for males and females are the same. Do not test for equality of intercepts. Are the slopes of the relationships between final and exam2 scores difference for males and females? Test on 10% significance. Include complex and simple model, hypotheses, test statistic, pvalue, and final regression equations for men and women
### Student Exam Data

This table presents a dataset of exam scores for students, including two exam scores, a final score, and gender information. Here's the detailed transcription:

|   | Exam 1 | Exam 2 | Final | Gender |
|---|--------|--------|-------|--------|
| 1 | 64     | 27     | 39    | M      |
| 2 | 64     | 27     | 39    | M      |
| 3 | 58     | 34     | 41    | F      |
| 4 | 66     | 94     | 58    | M      |
| 5 | 64     | 67     | 65    | F      |
| 6 | 74     | 40     | 67    | F      |
| 7 | 72     | 80     | 67    | M      |
| 8 | 74     | 80     | 67    | M      |
| 9 | 85     | 37     | 67    | M      |
| 10 | 77    | 60     | 72    | F      |
| 11 | 58    | 60     | 72    | F      |
| 12 | 72    | 60     | 72    | M      |
| 13 | 72    | 67     | 72    | M      |
| 14 | 85    | 47     | 74    | F      |
| 15 | 95    | 84     | 74    | F      |
| 16 | 82    | 50     | 77    | M      |
| 17 | 82    | 70     | 79    | M      |
| 18 | 85    | 94     | 81    | M      |
| 19 | 74    | 84     | 86    | M      |
| 20 | 74    | 54     | 86    | F      |
| 21 | 82    | 80     | 89    | M      |
| 22 | 66    | 74     | 89    | F      |
| 23 | 72    | 100    | 89    | F      |
| 24
Transcribed Image Text:### Student Exam Data This table presents a dataset of exam scores for students, including two exam scores, a final score, and gender information. Here's the detailed transcription: | | Exam 1 | Exam 2 | Final | Gender | |---|--------|--------|-------|--------| | 1 | 64 | 27 | 39 | M | | 2 | 64 | 27 | 39 | M | | 3 | 58 | 34 | 41 | F | | 4 | 66 | 94 | 58 | M | | 5 | 64 | 67 | 65 | F | | 6 | 74 | 40 | 67 | F | | 7 | 72 | 80 | 67 | M | | 8 | 74 | 80 | 67 | M | | 9 | 85 | 37 | 67 | M | | 10 | 77 | 60 | 72 | F | | 11 | 58 | 60 | 72 | F | | 12 | 72 | 60 | 72 | M | | 13 | 72 | 67 | 72 | M | | 14 | 85 | 47 | 74 | F | | 15 | 95 | 84 | 74 | F | | 16 | 82 | 50 | 77 | M | | 17 | 82 | 70 | 79 | M | | 18 | 85 | 94 | 81 | M | | 19 | 74 | 84 | 86 | M | | 20 | 74 | 54 | 86 | F | | 21 | 82 | 80 | 89 | M | | 22 | 66 | 74 | 89 | F | | 23 | 72 | 100 | 89 | F | | 24
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