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# Simple Linear Regression and Correlation (3).docx

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School
McMaster University
Department
Statistics
Course
STATS 2B03
Professor
Aaron Childs
Semester
Fall

Description
November 13 , 2012 Stats 2B03: Statistical Methods for Science Simple Linear Regression and Correlation (3) 9.4.2 t-test for 0 : 1 =0, A : 1 ≠0 - y = β0+ β 1 - H 0 no linear relationship between y and x - H A there is a linear relationship - Notes:  If H0is not rejected then the regression line ŷ = β0hat+ β1hat should not be used  If H0is not rejected there could be some other relationship between y 2 and x, for example y = β 0 β 1 + β 2  If H0is not rejected, we can not conclude that there is no linear relationship between y and x. we can only conclude that there is not strong evidence of a linear relationship based on the given data - procedure:  step 1: calculate , where √ √  step 2: reject H0if |n-2>tn-2, 1-α - example (continued): √ √ do not reject H 0ince 2.6988<4.3027 9.4.3 ANOVA for Regression - The hypothesis H : 0 =1, H : A ≠1 can also be tested using the following procedure:  Step 1: calculate  Step 2: reject H if F
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