Chapter 6 Correlation and linear regression X Explanatory independent variable Y Response variable dependent variable Correlation Coefficient x x sx To find Correlation of zero means no linear relationship Correlation is sensitive to unusual observations Residuals e y y Least Squares Regression Line y y sy y b 0 b 1x zx zy or Sum of the residuals is always 0 B1 is the slope of the line x x n where Sx or Sy on TI 84 b 1 r s y sx b 0 y b 1 x B0 is the y intercept or found sigma y and sigma x divide by n to get x y bar Se e2 n 2 Standard deviaition of residuals Chapter 11 Confidence Intervals and Hypothesis tests for Means Means SD y Proportions SD P SE P SE y CI for mean DF n 1 Assumptions o Independence randomization condition 10 condition nearly normal t y m0 SE y Where SE y same One sample t test ME Calculating Sample Size if less than 60 can use T Finding P values Chapter 12 Comparing Two Groups Chapter 14 Regression Linear regression equation is y b0 b1x regression standard error e y se residual2 n 2 yi yi 2 n 2 se estimate of the regression standard deviation s Conditions for inference observations are independent relationship is linear standard deviation of y is the same for all values of x response y varies normally around mean Chapter 15 Multiple Regression
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