)) Thermistors are used to measure the temperature of bodies. Thermistors are based on materials' change in resistance with temperature. To measure temperature, manufacturers provide you with a temperature vs. resistance calibration curve. If you measure resistance, you can find the temperature. A manufacturer of thermistors makes several observations with a thermistor, which are given in Table. Determine the temperature corresponding to 702.8 ohms using Lagrange polynomial interpolation. Show your calculations clearly. Temperature vs. Resistance 55 50 R (ohm) T (°C) 45 40 1101.0 911.3 636.0 451.1 25.113 30.131 40.120 35 30 50.128 25 20 400 500 600 700 800 900 1000 1 100 1200 Resistance (ohms) Temperature (°C)

)) Thermistors are used to measure the temperature of bodies. Thermistors are based on materials' change in resistance with temperature. To measure temperature, manufacturers provide you with a temperature vs. resistance calibration curve. If you measure resistance, you can find the temperature. A manufacturer of thermistors makes several observations with a thermistor, which are given in Table. Determine the temperature corresponding to 702.8 ohms using Lagrange polynomial interpolation. Show your calculations clearly. Temperature vs. Resistance 55 50 R (ohm) T (°C) 45 40 1101.0 911.3 636.0 451.1 25.113 30.131 40.120 35 30 50.128 25 20 400 500 600 700 800 900 1000 1 100 1200 Resistance (ohms) Temperature (°C)