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Lesson 11.4: Scatter Plots
Standards: SDP 1.0 and 1.2Objective: Determine the correlation of
a scatter plot
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Scatter Plot
A scatter plot is a graph of a collection ofordered pairs (x,y).
The graph looks like a bunch of dots, but someof the graphs are a general shape or move in ageneral direction.
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Positive Correlation
If the x-coordinates and they-coordinates bothincrease, then it is
POSITIVE CORRELATION. This means that both are
going up, and they arerelated.
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Positive Correlation
If you look at the age of a child and thechilds height, you will find that as the
child gets older, the child gets taller.
Because both are going up, it ispositive correlation.
Age 1 2 3 4 5 6 7 8
Height
25 31 34 36 40 41 47 55
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Negative Correlation
If the x-coordinates and the y-coordinates have oneincreasing and one
decreasing, then it isNEGATIVE CORRELATION.
This means that 1 is going upand 1 is going down, making
a downhill graph. This meansthe two are related asopposites.
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Negative Correlation
If you look at the age of your familys car and
its value, you will find as the car gets older, thecar is worth less. This is negative correlation.
Age
ofcar
1 2 3 4 5
Value $30,000 $27,00
0
$23,50
0
$18,70
0
$15,35
0
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No Correlation
If there seems to beno pattern, and thepoints looked
scattered, then it is nocorrelation.
This means the twoare not related.
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No Correlation
If you look at the size shoea baseball player wears,and their batting average,
you will find that the shoesize does not make theplayer better or worse,
then are not related.
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ScatterplotsWhich scatterplots below show a linear trend?
a) c) e)
b) d) f)
NegativeCorrelation
PositiveCorrelation
ConstantCorrelation
Obj ti T l t d t i t i th
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Year
Sport Utility Vehicles(SUVs) Sales in U.S.
Sales (in Millions)
1991
1992
1993
1994
1995
1996
1997
1998
1999
0.9
1.1
1.4
1.6
1.7
2.1
2.4
2.7
3.2
1991 1993 1995 1997 1999
1992 1994 1996 1998 2000x
y
Year
VehicleSales(M
illions)
5
4
3
2
1
Objective - To plot data points in thecoordinate plane and interpret scatter
plots.
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Plot the data on the graph such that homework time
is on the y-axis and TV time is on the x-axis..
StudentTime SpentWatching TV
Time Spenton Homework
Sam
Jon
Lara
Darren
Megan
Pia
Crystal
30 min.
45 min.
120 min.
240 min.
90 min.
150 min.
180 min.
180 min.
150 min.
90 min.
30 min.
90 min.
90 min.
90 min.
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Plot the data on the graph such that homework time
is on the y-axis and TV time is on the x-axis.
TV Homework
30 min.
45 min.
120 min.
240 min.
90 min.
150 min.
180 min.
180 min.
150 min.
90 min.
30 min.
120 min.
120 min.
90 min.
Time Watching TV
Timeon
Homework
30 90 150 21060 120 180 240
240
210
180
150
120
90
6030
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Describe the relationship between time spent on
homework and time spent watching TV.
Time Watching TV
Timeon
Homework
30 90 150 21060 120 180 240
240
210
180
150
120
90
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Trend is decreasing.
Trend appears linear.
Negative correlation.
Time on TV Time on HW