Chapter 13 Formulas and Vocabulary

• Confidence interval for slope ${\beta }_1$ (p. 726).

  $b_1\pm t_{\alpha /2}·{\displaystyle \frac{S}{\sqrt{\sum {\left(x-\overline{x}\right)}^2}}}$

• Fitted values (p. 719)
• Margin of error $E$ (p. 726)
• Population regression equation (p. 718)
• Regression model (p. 718)
• Regression model assumptions (p. 718)

• Test statistic $t_{\text{data}}$ (p. 721).

  $t_{\text{data}}={\displaystyle \frac{b_1}{s/\sqrt{\sum {\left(x-\overline{x}\right)}^2}}}$

• Confidence interval for the mean of the values of $y$ for a given $x$ (p. 738)
• Prediction interval for a randomly selected value of $y$ for a given $x$ (p. 739)

• Adjusted coefficient of determination $R_{\text{adj}}^2$ (p. 745).

  $R_{\text{adj}}^2=1-\left(1-R^2\right)\left({\displaystyle \frac{n-1}{n-k-1}}\right)$

• Backward, stepwise regression (p. 751)
• Dummy variable (p. 749)

• Multiple coefficient of determination $R^2$ (p. 745).

  $R^2={\displaystyle \frac{\text{SSR}}{\text{SST}}}$

• Multiple regression (p. 743)
• Multiple regression coefficients (p. 743)
• Multiple regression equation (p. 743)
• Multiple regression model (p. 746)
• Population multiple regression equation (p. 746)
• Strategy for building a multiple regression model (p. 750)