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Pooled Regression

Machine Learning•Aquatic CapitalMediumFree

Question

Two separate datasets are used to fit simple ordinary least squares regressions through the origin. For the first dataset, the sum of the squared predictor values is 120120 and the fitted coefficient is 1.51.5. For the second dataset, the sum of the squared predictor values is 8080 and the fitted coefficient is 33. The datasets are then combined, and one ordinary least squares regression through the origin is fitted to every observation. What is the coefficient of the combined regression?

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