Chapter 11--Regression and Correlation Methods

The commercial over a 2 week period the estimated

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Unformatted text preview: my Variables Examples 1 A branch manager for a new food product collected data on y = brand recognition (percent of potential customers who can describe what the product is), x1 = length in seconds of an introductory TV commercial and x2 = number of repetitions of the commercial over a 2-week period. The estimated regression equation was: µy |x1 ,x2 = 0.31 + 0.042x1 + 1.41x2 . ˆ Chapter 11: Regression and Correlation Methods Stat 491: Biostatistics Introduction Least Square Estimates of the Parameters Inference about the Parameters Prediction Assessing Adequacy of Fit Correlation Multiple Regression Introduction Inferences in Multiple Regression Tests for Subset of Regression Coefficients Prediction (Forecasting) Dummy Variables Examples Cont’d 40 2. Higher order term: For instance, Yield of 14 equal sized plots of tomato plantings for different amounts of fertilizer gave the following scatter plot. q 30 q q q q q q q q 20 q q ^ µy x = 5.703 + 2.692x − 0.0767x2 q 0 10 Yield per Bushel q q 0 5 10 15 20 Fertlizer in ppt Chapter 11: Regression and Correlation Methods Stat 491: Biostatistics 25 Introduction Least Square Estimates of the Parameters Inference about the Parameters Prediction Assessing Adequacy of Fit Correlation Multiple Regression Introduction Inferences in Multiple Regression Tests for Subset of Regression Coefficients Prediction (Forecasting) Dummy Variables Examples Cont’d... 3. Interaction Term (a second order term) 20 Interaction Exists 20 Additive Effects E D E 15 15 E E C D y 10 y 10 D D E C D C E C B A E B B C B 8 9 C A A A B D B C A A A A A B 7 E B A D C 6 C D C D A D 5 B D E 0 5 B E B 0 A E C D 5 B E C x1 Chapter 11: Regression and Correlation Methods 10 5 6 7 8 x1 Stat 491: Biostatistics 9 10 Introduction Least Square Estimates of the Parameters Inference about the Parameters Prediction Assessing Adequacy of Fit Correlation Multiple Regression Introduction Inferences in Multiple Regression Tests for Subset of Regression Coefficients Prediction (Forecasting) Dummy Variables Additive Versus Nonadditive Matters because...
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This note was uploaded on 02/03/2014 for the course STAT 491 taught by Professor Solomonharrar during the Fall '12 term at Montana.

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