Question: Here is the cleansed data. Response Age test marks Paper marks Gender Year in college IQ R1 21 87 83 0 1 80 R2 19
Here is the cleansed data.
| Response | Age | test marks | Paper marks | Gender | Year in college | IQ |
| R1 | 21 | 87 | 83 | 0 | 1 | 80 |
| R2 | 19 | 82.73 | 80 | 0 | 0 | 100 |
| R4 | 21 | 81 | 75 | 1 | 0 | 76 |
| R5 | 21 | 81 | 80 | 1 | 2 | 82 |
| R6 | 20 | 67 | 68 | 1 | 2 | 97.72 |
| R7 | 26 | 75 | 88 | 1 | 1 | 120 |
| R8 | 23.26 | 92 | 78 | 1 | 3 | 115 |
| R9 | 26 | 78 | 92 | 0 | 3 | 126 |
| R10 | 30 | 89 | 95 | 1 | 2 | 129 |
| R12 | 19 | 81 | 65 | 0 | 1 | 80 |
| R13 | 17 | 75 | 77 | 0 | 0 | 70 |
| R15 | 35 | 82.73 | 83 | 1 | 2 | 99 |
| R16 | 27 | 75 | 60 | 1 | 1 | 60 |
| R17 | 21 | 85 | 80 | 0 | 2 | 89 |
| R18 | 27 | 79 | 75 | 0 | 3 | 70 |
| R19 | 21 | 90 | 93 | 1 | 2 | 140 |
| R20 | 23.26 | 97 | 95 | 0 | 2 | 97.72 |
| R21 | 21 | 90 | 80 | 0 | 1 | 115 |
| R22 | 19 | 87 | 86 | 1 | 2 | 119 |
| R23 | 32 | 95 | 90 | 0 | 1 | 97.72 |
| R24 | 19 | 68 | 57 | 1 | 2 | 89 |
| Response | Age | test marks | Paper marks | IQ |
| Mean | 23.26286 | 82.73619 | 80 | 97.7219 |
| Median | 21 | 82.73 | 80 | 97.72 |
| mode | 21 | 81 | 80 | 97.72 |
| variance | 21.69925 | 62.65163 | 111.5238 | 456.0767 |
| S.D. | 4.658245 | 7.915278 | 10.56048 | 21.35595 |
- Make a scatter plot with IQ on the x-axis and test grade on the y-axis. What do you conclude?
- Make a scatter plot with gender on the x-axis and IQ on the y-axis. What do you conclude?
- Compute the mean IQ for males and for females. Conclusion?
- Choosing the right test Inferential statistics
Recommend the appropriate test to analyze the following questions: t-tests, ANOVA, Correlation, and Regression. Mention the test name for each question and your justification for why you chose it
- Are there significant differences in the test grade for men and women?
- Are there significant differences in the test grade among students from different years in college?
- Is there a relationship between IQ and test grades?
- construct a theoretical framework that best describes this data set
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