# Chap8A - STATISTICS 211 CHAPTER 8A REGRSSION SUMMARY This...

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STATISTICS 211 CHAPTER 8A REGRSSION SUMMARY This chapter is a summary of the formulas derive in the next chapter on Simple Linear Regression REGRESSION FORMULAS SUMMARY Response variable Y continuous quantitative ; Y Random variable Explanatory variable X continuous quantitative; X designed or random SUMMARY OF SAMPLE by sample size n, sample means ( 29 1 1 n i i X n X = = ( 29 1 1 n i i Y n Y = = Sample sums of squares used to compute sample variances ( 29 2 1 n i i SSXX X X = = - ( 29 2 1 n i i SSYY Y Y = = - Sample sum of cross-products used to compute sample covariance ( 29 ( 29 1 n i i i SSXY X X Y Y = = - - Population parameters are error standard deviation σ , slope b , intercept Y bX - of population regression line Sample estimators are ( 29 estimator of slope in model b SSXY b Y Y b X X e SSXX σ = = = + - + ɵ error e is assumed Normal with mean zero and variance with estimateor computed from sample sum of squares for error circumflexnosp2char ( 29 ( 2 1 Res | n i i i SSE SS Y Y X SSYY SSTr μ = = = - = - Estimator of mean ( | Y X μ for X

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