use python to writhing this program

U HW-2.jpg Space shuttle thermal protection system consists of silica tiles which are attached onto the surface of a space shuttle. When attaching these tiles, it is necessary to leave a gap between tiles for thermal expansion. However, these gaps consequently lead to another problem since a fluid can flow through those gaps. High speed fluid would produce high temperature on the surface of the tiles. To prevent such a phenomenon, an experiment was carried out to study by testing a prototype in a supersonic wind tunnel. The following table is the data obtained from the experiment. 9 8 w Re P 2.53 1.13 0.18 14.2x105 0.02 2.49 1.01 0.18 4.0x105 0.03 2.15 1.01 0.10 8.3x105 0.03 1.95 1.01 0.10 4.2x105 0.03 3.80 1.01 0.30 8.3x105 0.03 2.00 1.01 0.30 4.2x105 0.03 3.45 1.01 0.41 8.8x105 0.03 2.99 1.01 0.41 4.4x105 0.03 Investigating those data, it could be found that the heat generated on the surface can be expressed in this general form b 9 = a - -- Repa where q is the ratio between the actual heat on the tiles and the heat on the surface without the tiles, 8 is the boundary layer, w is the gap between the tiles, Re is the Reynolds number, and P is the ratio between the pressure on the tiles and atmospheric pressure. Please apply multiple linear regression analysis to determine a, b, c, and d and make a plot to compare the experimental data and the data obtained from the model