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# A2 Acc LinReg Vocab

### Vocabulary required for working with regression lines

Term | Definition |
---|---|

line of best fit | a line whose equation represents the smallest possible differences between the squares of observed minus predicted values on a line |

correlation coefficient | the numerical measure of the direction and strength of a linear association |

negative correlation | a correlation in which an increase in x leads to a decrease in y. |

input variable | the independent variable |

output variable | the dependent variable |

positive correlation | a correlation in which an increase in x leads to an increase in y. |

predicted value | the value of y calculated by modeling a particular value of x with a prediction equation. |

prediction equation | an equation that models a mathematical relationship between x and y with an algebraic expression. |

scatter plot | a plot of all the ordered pairs of bivariate data on a coordinate axis system. |

slope | the rate of change in predicted y-values per unit change in the x-value (rise/run) |

bivariate data | data that describes two characteristics (modeled as x and y) for each observation |

interpolation | using the line of regression to predict a y-value for an x-value within the x-data (between the smallest and largest given x-values) |

extrapolation | using the line of regression to predict a y-value for an x-value outside of the x-data set (below the smallest given x-value or above the largest given x-value) |

residual | the difference between the observed value of y and the predicted value of y |

residual plot | a scatterplot of the residuals plotted to the x-values or predicted y-values |