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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