Homework: Given the following data X 1 2. 4 7 y 15 120 680 Using the power law, find the best fit.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Homework: Given the following data**

| X | 1 | 2 | 4 | 7 |
|---|---|---|---|---|
| Y | 1 | 15 | 120 | 680 |

Using the power law, find the best fit.

---

**Explanation:**

The table presents a set of data points for variables X and Y. To find the best fit using the power law, you typically assume a relationship of the form \( Y = aX^b \), where \( a \) and \( b \) are constants to be determined. This exercise involves determining these constants to describe the relationship between X and Y based on the given data.
Transcribed Image Text:**Homework: Given the following data** | X | 1 | 2 | 4 | 7 | |---|---|---|---|---| | Y | 1 | 15 | 120 | 680 | Using the power law, find the best fit. --- **Explanation:** The table presents a set of data points for variables X and Y. To find the best fit using the power law, you typically assume a relationship of the form \( Y = aX^b \), where \( a \) and \( b \) are constants to be determined. This exercise involves determining these constants to describe the relationship between X and Y based on the given data.
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