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Hongke Du, Xiyan Yao, Chunyuan Deng, Invertibility of Linear Combinations of Two Idempotents, Proceedings of the American Mathematical Society, Vol. 134, No. 5 (May, 2006), pp. 1451-1457 ...
C. J. Park, The Distribution of Weighted Linear Combinations of Cell Frequency Counts: Two Samples from Continuous Distributions, Sankhyā: The Indian Journal of Statistics, Series A (1961-2002), Vol.
And this is exactly what linear regression does. It finds a combination of features (columns in your table) and coefficients (numbers to multiply those columns by) that most closely match the ...
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