# TSI Math: Identifying Residuals on a Scatter Plot Graph

The equation y = 0.78x + 1.51 models the data shown in the scatter plot below. What is the residual of the circled point?

Data Analysis, Statistics, and Probability | Statistical Measures |

Mathematics and Statistics Assessment | Statistical Measures |

Product Type | TSI |

TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

TSI Math | Data Analysis, Statistics, and Probability |

TSI Mathematics | Data Analysis, Statistics, and Probability |

Test Prep | TSI |

### Transcript

predicted by the linear regression equation at the same x

value More simply said it's how far a point on

the scatter plot is directly above or below the linear

regression line Well the point we care about has a

coordinate of four seven If we're going to find the

residual we need to know what the linear regression equation

predicts for that same x value of four Well the

regression equation they give you is y coll's point seven

eight Acts plus 1 . 5 1 well jamming for in for acts

gives us why equals point seven eight times four plus

one point five one or four point six three well

all that's left is the subtracting we just need to

make sure we put the y value of the actual

data point before the subtraction sign and the linear regression

value after the subtraction sign what does that get us

what we got seven then minus four point six three

is two point three seven the residual of this point

is to point three seven meaning the actual data point

shows two point three seven inches Maurine The venus flytrap

height then is predicted by the linear regression equation for

four hours of sunlight So that's it answers A two

point three seven and may All your fly traps shmoop 00:01:29.925 --> [endTime] free