MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Complete each step.

a. Create a scatter plot of the data.  
b. Determine a power function to model the data.  
c. Calculate the value of each model at \( x = 30 \).

| \( x \) | \( y \)  |
|-------|-------|
| 1     | 4     |
| 2     | 22    |
| 3     | 85    |
| 4     | 190   |
| 5     | 370   |
| 6     | 650   |
| 7     | 1000  |
| 8     | 1500  |

**Instructions:**

1. **Scatter Plot:**
   - Plot the provided pairs \((x, y)\) on a Cartesian coordinate system.

2. **Power Function Model:**
   - Determine a power function \( y = ax^b \) that best fits the data.

3. **Model Calculation:**
   - Use the power function to calculate \( y \) when \( x = 30 \).
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Transcribed Image Text:Complete each step. a. Create a scatter plot of the data. b. Determine a power function to model the data. c. Calculate the value of each model at \( x = 30 \). | \( x \) | \( y \) | |-------|-------| | 1 | 4 | | 2 | 22 | | 3 | 85 | | 4 | 190 | | 5 | 370 | | 6 | 650 | | 7 | 1000 | | 8 | 1500 | **Instructions:** 1. **Scatter Plot:** - Plot the provided pairs \((x, y)\) on a Cartesian coordinate system. 2. **Power Function Model:** - Determine a power function \( y = ax^b \) that best fits the data. 3. **Model Calculation:** - Use the power function to calculate \( y \) when \( x = 30 \).
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