Purchase Solution

# Accurate estimate for the intercept? For the slope?

Not what you're looking for?

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?

##### Solution Summary

This solution explains how to measure the resistivity.

##### Solution Preview

Dear Student,

Please try to understand in the following two cases. I have described a bit elaborately for the sake of simplicity. Let us consider that measured resistances for the two cases may be written as 1RT and 2RT at temperature T, constants 1a2 and 2a2 are constants for the two temperature ranges.

(a) T Range = 0 to 100 in steps of 10
Measured values will be:
1R0 = 0. 1a2 + 1a1
1R10 = 10. 1a2 + 1a1 (Here, 1a2 and 1a1 are constant for this set.)
1R20 = ...

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### The Moon

Test your knowledge of moon phases and movement.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.