1. **Estimate Rate of Change:**
Use the given data to estimate the rate of change of atmospheric pressure with respect to altitude at different heights over the range covered by the data. Include a table in your response.

2. **Create Plots:**
Create two plots:
- One that illustrates the pressure depending on altitude.
- Another that illustrates the estimated rate of change depending on altitude.

3. **Model Function Construction:**
Construct a function that models the pressure-altitude data. Create a plot that includes the model function and the data together. Explain briefly how you chose your model function, including the values of any parameters.

4. **Estimate with Model Function:**
Use your model function (from Part 3) to estimate the rate of change of atmospheric pressure with respect to altitude at different heights over the range from sea level to 10,000 ft. Include a table in your response.

5. **Comparison Plot and Assessment:**
Together on the same plot, show the rate of change of atmospheric pressure with respect to altitude at different altitudes within the range covered by the data, both (i) estimated directly from the data (Part 1) and (ii) computed with the model function (Part 4). Compare the rate of change information you computed from the model function with the rate of change information you estimated directly from the data. Use this comparison to assess your model function.

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**Data Provided:**

- **Rate of Change:**
0.0004

- **Altitude (ft):**
101.2, 499.9, 997.6, 1498.1, 1993.4, 2493.8, 3007.2, 4006.4, 5009.4, 6006.5, 7005.4, 7990.4, 9000.2, 10009.1

- **Pressure (hPa):**
743.6, 629.6, 498.3, 407.4, 345.3, 286.6, 223.8, 152.9, 100.8, 68.4, 45.4, 30.8, 21.0, 13.7