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Suppose we have the following model, Yi = Bot BIXite; i=1,2, ...,n where Do and B, are unknown constants and 6 ~ N(0, o'), o

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Suppose we have the following model, Yi = Bot BIXite; i=1,2, ...,n where Do and B, are unknown constants and 6 ~ N(0, o'), o > 0 holds true. The distance from any point y; in a collection of data, to the mean of the data y, is the deviation, written as y; -7. The analysis of variance is based on a partitioning of total variability in y. yi - y = (yi - 3) + (yi - yi)d. Show that the coefficient of determination R2 = 12 + (SSRes/ SST) where r is the sample correlation between X and Y. (5 pts)

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