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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?
- Data Analysis, Statistics, and Probability / Statistical Measures
- TSI Math / Data Analysis, Statistics, and Probability
- Test Prep / TSI
- TSI Mathematics / Data Analysis, Statistics, and Probability
- TSI / TSI Math
- Data Analysis, Statistics, and Probability / Statistical Measures
- TSI / TSI Mathematics
- Test Prep / TSI
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
Full Transcript
- 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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