College Statistics Quiz
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REGRESSION AND CORRELATION
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The relationship between a star's luminosity (L) and its mass (M) can be described by a power model of the form L=aMpL = aM^p. An astronomer performs a linear regression on the logarithms of the data, resulting in the fitted line ln⁡(L)^=0.12+3.5ln⁡(M)\widehat{\ln(L)} = 0.12 + 3.5 \ln(M). Based on this model, what is the predicted luminosity of a star with a mass of M=2M=2 solar masses? Use ln⁡(2)≈0.693\ln(2) \approx 0.693.
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