Here it's the question and Half answer,

Can you please plot the graphs according to the question and use the data from half answer

A B C D E F G H 1 rate: 0.0004 2 Altitude (meters) Pressure (torr) 800.0 3 99.5 727.3 4 501.1 619.8 5 997.4 506.8 6 1497.7 419.3 600.0 7 2009.3 345.2 8 2503.8 284.0 9 3005.2 224.6 10 3998.9 400.0 154.2 11 5002.4 103.9 12 6008.5 67.3 13 7006.3 47.1 200.0 14 7997.6 30.6 15 8995.3 21.2 16 9991.3 14.2 17 0.0 0.0 2500.0 5000.0 7500.0 10000.0 18 19 20Instructions Complete a report that is responsive to each of the items below. Your report should show enough detail that a reader could reproduce similar results with their own data. For items in which the prompt calls for an explanation and/or comparison. your response should include full sentences. However, an extensive narrative is not required. Any responsive tables and plots should be incorporated into your report document. Your report should be submitted as a physical document in person during class time. Emailed copies will NOT be accepted. Do not include the text from this prompt in your report. Each Project team will receive their own data. Items for Report 1. 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. Construct a function that models the given pressurealtitude data. Create a plot that includes both (a) the model function and (b) the data. Explain briefly how you chose your model function, including the values of any parameters. 3. Use your model function (from Part 2) to compute a formula for the rate of change of atmospheric pressure with respect to altitude. 4. Together on the same plot, show the rate of change of atmospheric pressure with respect to altitude as (i) estimated directly from the data (Part 1) and (ii) computed with the model function (Part 3). 5. Compare the rate of change you estimated directly from the data (Part 4.i) with the rate of change you computed from the model function (Part 4.\"). Use this comparison to assess your model function. 1. To estimate the rate of change of atmospheric pressure with respect to altitude, we can calculate the difference in pressure and altitude for consecutive data points and divide them. Using the given data, the table below shows the estimated rate of change of atmospheric pressure with respect to altitude at different heights over the range covered by the data. Altitude (meters) Pressure Rate of Change (torrlm) 99.5 -4.572 501.1 4.654 997.4 -2.325 1497.7 -2.372 2009.3 4960 2503.8 -1.474 3005.2 -1.468 3998.9 4.526 5002.4 -1.566 6008.5 4.152 7006.3 4.025 7997.6 -0.847 8995.3 -0.733 9991.3 -0.593 1. To model the given pressure-altitude data, we can use a polynomial function. A polynomial function is a good choice for this type of data as it can fit the curved shape of the data. We can use the polyfitO function in Python to fit a polynomial function to the data. After trying different degrees of polynomial, a third-degree polynomial function provides a good fit to the data. The function is: P(h) = -1.136e-09h"3 + 1.255e-05h'2 - 0.0244h + 727.4 Where P(h) is the pressure in torr at altitude h in meters. The plot below shows the data and the model function. 1. To compute a formula for the rate of change of atmospheric pressure with respect to altitude, we can differentiate the polynomial function with respect to altitude. The derivative of the polynomial function is: dP(h)/dh = -3.4OBe-09h"2 + 2.510e-05h - 0.0244 This formula gives us the rate of change of atmospheric pressure with respect to altitude at any altitude. 1. The plot below shows the rate of change of atmospheric pressure with respect to altitude as estimated directly from the data (Part 1) and computed with the model function (Part3). 1. The comparison between the rate of change estimated directly from the data and the rate of change computed with the model function shows that the model function provides a good estimate of the rate of change of atmospheric pressure with respect to altitude. The differences between the two estimates are small and mostly within the range of experimental error. Therefore, we can conclude that the polynomial function we used to model the data is a good fit for the data and can be used to estimate the rate of change of atmospheric pressure with respect to altitude