The Sums of Squares of Total (SSTO), Sums of Squares of Error (SSE), and Sums of
ID: 3152671 • Letter: T
Question
The Sums of Squares of Total (SSTO), Sums of Squares of Error (SSE), and Sums of Squares of Regression (SSR) are three sums of squares we calculate to represent how well X explains Y in a regression line. For each of the statements below, write down the appropriate sums of squares next to its definition: Please write your answer by using the abbreviations below: SSE SSR SSTO Question: __________ is the sum of (Y-Ybar)^2 and represents the variation in Y unexplained before adding X to the model. Question:_____________ is the sum of (Y-Yhat)^2 and represents the variation in Y unexplained after adding X to the model. Question:______________ is the sum of (Yhat - Ybar)^2 and represents the variation in Y explained by X
Explanation / Answer
Total sum of squares(SST) is the sum of (Y-Ybar)^2 and represents the variation in Y unexplained before adding X to the model
Error sum of squares (SSE) is the sum of (Y-Yhat)^2 and represents the variation in Y unexplained after adding X to the model
SSR is the sum of (Yhat - Ybar)^2 and represents the variation in Y explained by X
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