"Muon pair production 2" -- hepdata.net/record/ins216031, Table 1, 29 GeV x = ( -0.925, -0.85, -0.75, -0.65, -0.55, -0.45, -0.35, -0.25, -0.15, -0.05, 0.05, 0.15, 0.25, 0.35, 0.45, 0.55, 0.65, 0.75, 0.85, 0.925) y = ( 67.08, 58.67, 54.66, 51.72, 43.7, 41.12, 39.71, 35.34, 33.35, 34.69, 34.05, 34.48, 34.66, 35.23, 35.6, 40.13, 42.56, 46.37, 49.28, 55.7) "nanobarn" "GeV"^2 "Observed cross section per bin" y alpha = 7.2973525693 10^(-3) c = 299792458.0 meter / second h = 6.62607015 10^(-34) joule second hbar = h / float(2 pi) eV = 1.602176634 10^(-19) joule -- conversion factor C = (10^37 "nanobarn" / meter^2) / (10^9 eV / "GeV")^2 "Predicted cross section" yhat = 1/2 float(pi) (alpha hbar c)^2 (1 + x^2) C yhat "Coefficient of determination (R squared)" ybar = sum(y) / dim(y) RSS = sum((y - yhat)^2) -- residual sum of squares TSS = sum((y - ybar)^2) -- total sum of squares 1 - RSS / TSS
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