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scatter
plot, trend, line of best fit
(trend line), independent
variable, dependent
variable, discreet variable,
continuous variable, positive correlation,
negative
correlation, weak
correlation, strong
correlation
Interactive Component Under Construction
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Learning Outcomes:
The student will:
Line of Best Fit
 The correlation coefficent (r)
ranges between -1 and 1. It is part of the following applet, but will not critical
to this lesson. It is useful, however to help us understand the strength of data
correlations.
| Correlation |
Strong |
Weak |
- Positive
- up and right
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0.7 to 1.0 |
0.3 to 0.7 |
- Negative
- down and left
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-1.0 to -0.7 |
-0.7 to -0.3 |
Little or No Correlation: -0.3 to
0.3 |
Directions: Use the following to examine 3
scatterplot samples and to create your own scatterplots.
- Click the "Load Data File" button to see the first scatterplot sample.
The other samples are available from the pulldown menu. To display the sample, click
the "Load Data File" button after selecting a sample.
- Click on various spreadsheet cells and change the values.
- Click "Enter"in either cell of the last row if you wish to add additional
data.
- Click on "Update Display" to plot the points. Notice the effect the
change has on the line of best fit.
- Create your own scatterplots by entering the data points into the spreadsheet to the
left of the graph.
- The correlation coefficent ranges between -1 and 1. It is part of the applet,
but will not critical to this lesson. It is useful, however to help us understand
the strength of data correlations.
source: http://math.hws.edu/javamath/config_applets/index.html |
Positive Trend
positive trend (correlation) - both sets of data increase
together
Perfect Positive Trend (Correlation)
source: Correlation
Olympic Gold Medal Winning High Jump (1900 - 1984)
source: quizregsol.html
1993 Chicago Bulls Basketball
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Negative Trend
negative trend (correlation) - one set of data decreases
as the other set of data increases
Strong Negative Trend (Correlation)
Weak Negative Trend (Correlation)
source: Correlation
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No Trend (Correlation)
source: Correlation
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Correlation Strength
- The correlation coefficent ranges between -1 and 1. It is part of the applet,
but will not critical to this lesson. It is useful, however to help us understand the
strength of data correlations.
| Correlation |
Strong |
Weak |
| Positive |
0.7 to 1.0 |
0.3 to 0.7 |
| Negative |
-1.0 to -0.7 |
-0.7 to -0.3 |
Little or No Correlation: -0.3 to
0.3
Linked to applet at: http://www.seeingstatistics.com/seeing1999/gallery/CorrelationPicture.html
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Study the following results:
In this experiment:
- what are the dependent and independent variables?
- are the variables continuous or discrete?
- is the relationship between the dependent and independent variables linear or
non-linear?
- what trend is illustrated?
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Click Reload Page
between answers selections. |
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source: bios150WMU
In this experiment:
- what are the dependent and independent variables?
- are the variables continuous or discrete?
- is the relationship between the dependent and independent variables linear or
non-linear?
- what trend is illustrated?
|
Click Reload Page
between answers selections. |
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source: Welcome
to the Line Graph page!
In this experiment:
- what are the dependent and independent variables?
- are the variables continuous or discrete?
- is the relationship between the dependent and independent variables linear or
non-linear?
- what trend is illustrated?
|
Click Reload Page
between answers selections. |
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