As an engineer with the Ultimate Company you are provided with the following measured data: Number of computers 50,000 Time, days Figure 1. Number of Computers on the Market versus Time. Table 1 Number of Computers on the Market as a function of time Time, days 0 10 20 30 40 50 60 Number of Computers on the Market 50,000 35,000 31,000 20,000 19,000 12,050 11,000 What to do 1. Examine and study the data carefully. Enumerate your inferences from the data 2. Use trend analysis and extrapolation techniques to make predictions at days 55, 65 and 90. Document your results as shown in Table 2 below: Table 2 3. Plot second-order and third-order regression curves on same # computers vs. time axes 4. Plot interpolation and extrapolation curves on same # computers vs. time axes 5. Be as creative as you can with this project above and beyond the main requirements of this study. 6. Discuss your results Interpolating polynomials First-order Second-order Third-order Fourth-order Fifth-order Sixth-order Mean Standard deviation Coefficient of variation Least-squares polynomials First-order Second-order Third-order Fourth-order Fifth-order Sixth-order Mean Table 2: Results of fitting various interpolating and least-squares polynomials to the data of Table 1. An interpolation at t = 55 and extrapolation at t = 65 Coefficient of variation and 90 are shown. Standard deviation Interpolation t=55 Extrapolation t=65 t=90