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TSI Math: Identifying Residuals on a Scatter Plot Graph 20 Views


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Description:

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


Transcript

00:02

Okay sy mass from uppers The equation Why equals point

00:05

seven eight x plus one point five one models that

00:08

data shown in a scatter plot below what's the residual

00:12

of the circled point Well the residual is the vertical

00:21

distance between an actual data point and the y value

00:23

predicted by the linear regression equation at the same x

00:26

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

00:29

the scatter plot is directly above or below the linear

00:32

regression line Well the point we care about has a

00:35

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

00:38

residual we need to know what the linear regression equation

00:42

predicts for that same x value of four Well the

00:45

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

00:48

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

00:53

gives us why equals point seven eight times four plus

00:56

one point five one or four point six three well

00:58

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

01:01

make sure we put the y value of the actual

01:03

data point before the subtraction sign and the linear regression

01:06

value after the subtraction sign what does that get us

01:09

what we got seven then minus four point six three

01:12

is two point three seven the residual of this point

01:14

is to point three seven meaning the actual data point

01:16

shows two point three seven inches Maurine The venus flytrap

01:20

height then is predicted by the linear regression equation for

01:23

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

01:26

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

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