# TSI Math: If a Sick Tree Falls in a Linear Equation, Can Anybody Find the y-Intercept?

The equation y = -0.65x + 47.67 relates the number of intact plants (y) to the number of sick trees (x). What is the correct interpretation of the y-intercept?

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

intercept Whether in a plain old linear equation or from

a linear regression equation we're always gonna have the same

kind of interpretation This interpretation comes from the structure of

the co ordinates of a why intercept since a y

intercept must by definition be a point on the y

axis It must have a coordinate like this like zero

pound for pound is not the sign of a tweet

It's the value of the y intercept the x value

must be zero because we haven't gone left or right

on the coordinate plane there We just went out as

such when we interpret a why intercept We always say

when the x value or context for the x value

is zero The context of the y intercept is then

whatever the y intercept is our ex is the number

of sick trees while our why is the number of

intact plants That means our interpretation is when the number

of sick trees is zero i either very healthy We

expect the number of intact plants to be forty seven

point six Seven Okay you can be a little more

natural and just say well when there are no sick

trees we expect around forty seven point six Seven intact

plans Or we could just say c as in See

you later Shmoop