A a Graphicaly what can you condude about the relationshp betueen age and heart te? B Test he hypothess hit p-0aganst the atematve hatpOat he 005 level of significance| Patient No. Age Heart Rate Patient No. Age Heart Rate 48 100 26 39 72 70 76 45 76 27 56 67 70 28 51 44 72 29 68 57 64 30 49 76 62 70 31 70 76 79 53 62 32 58 67 60 92 33 47 72 34 54 68 10 37 84 35 49 11 52 36 54 86 12 90 44 81 13 14 33 10 80 38 69 72 NO N0 72 39 45 15 16 72 74 76 40 41 52 40 39 37 45 52 41 17 42 86 30 35 88 72 76 18 43 19 84 44 44 20 49 70 45 28 76 74 21 62 72 46 39 22 23 51 68 47 49 12 41 76 80 24 70 49 80 25 68 s0 27 82

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Given below are the ages and heart rates of 50 patients who participated in a clinical trial for a new anti-hypertensive drug.

**A. Graphically, what can you conclude about the relationship between age and heart rate?**

To answer this, you could plot the age (x) on the horizontal axis and heart rate (y) on the vertical axis. Look for patterns, trends, or correlations. For example, if heart rate increases with age, you might see a positive correlation.

**B. Test the hypothesis that ρ = 0 against the alternative that ρ ≠ 0 at the 0.05 level of significance.**

To test this hypothesis, conduct a statistical correlation analysis (e.g., Pearson correlation coefficient) to determine if there's a significant relationship between age and heart rate.

**Patient Data:**

| Patient No. | Age (x) | Heart Rate (y) | Patient No. | Age (x) | Heart Rate (y) |
|-------------|---------|----------------|-------------|---------|----------------|
| 1           | 48      | 100            | 26          | 39      | 72             |
| 2           | 47      | 106            | 27          | 38      | 56             |
| 3           | 65      | 42             | 28          | 60      | 68             |
| 4           | 64      | 72             | 29          | 49      | 76             |
| 5           | 57      | 68             | 30          | 44      | 64             |
| 6           | 67      | 64             | 31          | 63      | 64             |
| 7           | 42      | 74             | 32          | 50      | 80             |
| 8           | 43      | 72             | 33          | 31      | 64             |
| 9           | 52      | 90             | 34          | 50      | 66             |
| 10          | 64      | 72             | 35          | 36      | 60             |
| 11          | 37      | 54             | 36          | 54      | 64             |
| 12          | 49      | 52
Transcribed Image Text:Given below are the ages and heart rates of 50 patients who participated in a clinical trial for a new anti-hypertensive drug. **A. Graphically, what can you conclude about the relationship between age and heart rate?** To answer this, you could plot the age (x) on the horizontal axis and heart rate (y) on the vertical axis. Look for patterns, trends, or correlations. For example, if heart rate increases with age, you might see a positive correlation. **B. Test the hypothesis that ρ = 0 against the alternative that ρ ≠ 0 at the 0.05 level of significance.** To test this hypothesis, conduct a statistical correlation analysis (e.g., Pearson correlation coefficient) to determine if there's a significant relationship between age and heart rate. **Patient Data:** | Patient No. | Age (x) | Heart Rate (y) | Patient No. | Age (x) | Heart Rate (y) | |-------------|---------|----------------|-------------|---------|----------------| | 1 | 48 | 100 | 26 | 39 | 72 | | 2 | 47 | 106 | 27 | 38 | 56 | | 3 | 65 | 42 | 28 | 60 | 68 | | 4 | 64 | 72 | 29 | 49 | 76 | | 5 | 57 | 68 | 30 | 44 | 64 | | 6 | 67 | 64 | 31 | 63 | 64 | | 7 | 42 | 74 | 32 | 50 | 80 | | 8 | 43 | 72 | 33 | 31 | 64 | | 9 | 52 | 90 | 34 | 50 | 66 | | 10 | 64 | 72 | 35 | 36 | 60 | | 11 | 37 | 54 | 36 | 54 | 64 | | 12 | 49 | 52
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