Problem items:
➡ A steel cylinder at 80°F of length 12" is placed in a commercially available liquid nitrogen bath (−315°F). If the thermal expansion coefficient of steel behaves as a second order polynomial function of temperature and the polynomial is found by regressing the data below, the reduction in the length of the cylinder in inches is ?

➡ Kinematic viscosity µk of water varies with temperature T as shown in the table. Determine the cubic that best fits the data, and use it to compute µk at T = 10◦, 30◦, 60◦, and 90◦C.
T (◦C): 0, 21.1, 37.8, 54.4, 71.1, 87.8, 100
µk (10^−3 m^2/s): 1.79, 1.13, 0.696, 0.519, 0.338, 0.321, 0.296

➡ The table displays thermal efficiencies of some early steam engines. Determine the polynomial that provides the best fit to the data and use it to predict the thermal efficiency in the year 2000.

➡ The intensity of radiation of a radioactive substance was measured at half-year intervals.
The results were:
t(years): 0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5
γ: 1.000, 0.994, 0.990, 0.985, 0.979, 0.977, 0.972, 0.969, 0.967, 0.960, 0.956, 0.952

My Computer Engineering course subject NMA problem activities with my own solution.
Polynomial Interpolation and curve fitting Python Problem Solving.
Language used - PYTHON