Question

3. Suppose we measure a quantity y as a function of a parameter z. The measurement errors ony are denoted by ơ. Given 3 measurements. 11.0 1.10 0.08 2 2.0 4.40 0.20 3 3.0 8.80 0.20 we describe the data by the model, where α is an unknown parameter. a) Define χ2 and use it to determine the best estimate, a", of a. b) Find the value of x2 at the best estimate a. Did we choose a good model of the data in terms of x2?

Answer 1

rror cror 0.08 0.0064 2992852 22882 22002 9 0.0016 23.33571 145357 211.287 249. 1736 10.0096 suare hat 0.0048 2592859 $1912 16 20 12 13

B10 sigmai 0.08 0.2 0.2 xA2 -8242 sigmai 2 (C2-0.16)2 (C3-0.16)42 (C4-0.16)42 error error 2 A2 82 A4 84 B4 2 F2:F4) -SUM(12:14) sigmsquare hat F5/2 alphastar chi square calc 15/B7

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