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

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Unformatted text preview: 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 c ( 29 ( 29 2 1 Res | n i i i SSE SS Y...
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This note was uploaded on 03/27/2008 for the course STAT 211 taught by Professor Parzen during the Fall '07 term at Texas A&M.

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

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