215 Handout_4(linreg)

215 Handout_4(linreg) - Handout#4 Linear Regression(Chap 5...

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Handout #4: Linear Regression (Chap. 5) STA215: Introductory Applied Statistics Dr. Jann-Huei Jinn Suggested Homework for Chapter 5: 5.1, 5.2, 5.3, 5.9, 5.11, 5.12, 5.13, 5.14, 5.20, 5.21, 5.24, 5.27, 5.29, 5.33, 5.40 For each subject, a pair (x, y) is observed. X: independent or explanatory variable Y: response or dependent variable Scatterplot tells us whether the two numerical variables have positive or negative linear relationship. Example 5.1, 5.2 Least Squares Regression Line Equation : y ˆ = o b + 1 b x 1 b = = = - - - n i i n i i i x x y y x x 1 2 1 ) ( ) )( ( or ( x y s s r b = 1 ) slope of the regression (or "least squares") line. x b y b o 1 - = intercept of the regression (or “least squares) line A least squares line has the property that the sum of squared differences between the observed values of y and the predicted values y ˆ is smallest for that line than it is for any other line. Interpreting a Regression Line

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215 Handout_4(linreg) - Handout#4 Linear Regression(Chap 5...

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