QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
# Is the data set approximately periodic?
If so, what are its period and amplitude?
| Hour | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| Number of cars | 52 | 76 | 90 | 75 | 91 | 104 | 89 | 105 | 119 | 103 | 121 | 135 |
not periodic
- periodic with period of 3 and amplitude of about 7.5
- periodic with period of 3 and amplitude of about 15
- periodic with period of 4 and amplitude of about 7.5
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Answer
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Step 1I'll solve this step-by-step to determine if the data set is periodic and identify its potential period and amplitude.
Step 2: Understand Periodicity
Periodicity means a pattern that repeats at regular intervals. To check this, I'll look for consistent cyclic behavior in the data.
Final Answer
While there's a rising and falling pattern, it doesn't show a consistent, repeating cycle with a fixed period and amplitude. The correct option is: "not periodic" Key Observations: - No consistent 3 -step or 4 -step repeating pattern - Overall trend seems to be generally increasing - Significant variation between data points - Lacks the mathematical definition of true periodicity
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