Two scientists want to measure the resistivity, R(T), of a material as a function of temperature. They assume that R(T) = a1+a2T, where a1 and a2 are the constants to be determined. The first scientist measures R for temperatures T = 0°, 10°, 20°, ..., 100°. The second performs the measurement at T = 0°, 100°, ..., 400°. Assuming that they use the same instruments and that the measurement error is constant, which scientist will obtain the more accurate estimate for the intercept? For the slope?
This solution explains how to measure the resistivity.