Exercise 16.1.2

Question 1

Using pen-and-paper, reproduce the results from Equations (10), (11), (12) and (13) yourself.

Question 2

Write a program to calculate the constants \(a_0\) and \(a_1\) with uncertainties for the functional relation

\[ y = a_0 + a_1 x \]

using \(chi^2\) minimization from a set of \(x_i\), \(y_i\) and \(u(y_i) = \sigma_i\) data points.

Test your program by reading the data in ./exercise-data/data_chisqr_01.txt.

Answers:

• \(a_0 = 2.8(4.6)\)

• \(a_1 = 17.13(0.57)\))