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TSI Math: If a Sick Tree Falls in a Linear Equation, Can Anybody Find the y-Intercept? 29 Views


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Description:

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?


Transcript

00:02

Ok ssa mass members here we go The equation y

00:05

equals negative point Six five x plus forty seven point

00:07

six seven relates the number of intact plants Why to

00:11

the number of sick trees one of the correct interpretation

00:14

of the y intercept Well when were interpreting a y

00:22

intercept Whether in a plain old linear equation or from

00:25

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

00:28

kind of interpretation This interpretation comes from the structure of

00:31

the co ordinates of a why intercept since a y

00:34

intercept must by definition be a point on the y

00:36

axis It must have a coordinate like this like zero

00:39

pound for pound is not the sign of a tweet

00:43

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

00:45

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

00:48

on the coordinate plane there We just went out as

00:51

such when we interpret a why intercept We always say

00:54

when the x value or context for the x value

00:57

is zero The context of the y intercept is then

01:00

whatever the y intercept is our ex is the number

01:04

of sick trees while our why is the number of

01:06

intact plants That means our interpretation is when the number

01:11

of sick trees is zero i either very healthy We

01:14

expect the number of intact plants to be forty seven

01:18

point six Seven Okay you can be a little more

01:20

natural and just say well when there are no sick

01:22

trees we expect around forty seven point six Seven intact

01:24

plans Or we could just say c as in See

01:28

you later Shmoop

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