Name: Martin Edwini-Bonsu Date: February.14th, 2022 Biomedical Engineering 101 BMEG 101 Homework Assignment Report #1 Exercise #1 First-Order Polynomial The results for the first-order polynomial were 0.6674 and 15.5045. The R-squared value of the first-order polynomial is 0.9491. Second-Order Polynomial The results for the line of best fit for the second-order polynomial were -0.0048, 1.1472 and, 8.3070. The R-squared value of the second-order polynomial is 0.9874. Third-Order Polynomial The results for the line of best fit for the third-order polynomial were -0.0001, 0.0086, 0.6379, 11.5126 The R-squared value of the third-order polynomial is 0.9969. Conclusion As the order of the polynomial increased, the accuracy of the line of best fit increased.
90 0 data 80 70 first order second order 19 third order 60 50 0 40 0 30 20 8 0 10 0 0 20 40 60 80 100 Figure 1: A plot of the first-order, second-order, and third-order polynomial with temperature and voltage readings. Sensor Resolution Calculations Sensor resolution for these calculations was the range of voltage multiplied by the reciprocal of the slope of the linear regression model. The sensor resolution for the +/-2.2 mV range from 0 to 70 degrees celsius is 5.2403. The sensor resolution for the +/-2.2 mV range from 70 to 100 degrees celsius is 25.4335. The sensor resolution for the +/- 0.2 mV range from 0 to 70 degrees celsius is 0.4764. The sensor resolution for the +/-0.2 mV range from 70 to 100 degrees celsius is 2.3121.