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Scatter Plot Diagrams
Scatter plot diagrams are used to evaluate the correlation or
cause-effect relationship (if any) between two variables (e.g., speed
and gas consumption in a vehicle).
When you think there's a cause-effect link between two indicators (e.g.,
calories consumed and weight gain) then you can use the scatter plot
diagram to prove or disprove it. If the points are tightly clustered
along the trend line, then there's probably a strong correlation.
If it looks more like a shotgun blast, there is no correlation.
From the nist.gov website, (no correlation, strong positive, strong negative):

If the R2 correlation of determination (square of the correlation
coefficient) is greater than 0.8, then 80% of the variability in the
data is accounted for by the equation. Most statistics books imply that
this means that you have a strong correlation.
Here is an example of the scatter plot diagram created using the
QI Macros for
Excel SPC software. The correlation coefficient and correlation
of determination information can be found in the intermediate spreadsheet
created when the macro is run. R2 is also displayed on the chart.


How to Create a Scatter Plot Diagram
- Collect 20 or more paired data samples.
- Label the "effect" variable on left-hand (Y) axis.
- Label the suspected "cause" variable on the bottom (X) axis.
- Plot all of the paired points (the QI Macros will do this for you).
- Analyze the graph for relationships among the variables.
You can also change the trend line to show other distributions. Double
click on the trend line and select from one of the other available distributions:
logarithmic, Polynomial, Power, Exponential, or Moving Average.
Find out more about scatter Diagrams at: asq.org
and nist.gov.
The Scatter Plot Diagram is just one of the tools included in
the QI Macros for Excel SPC Software.
Download
the FREE 30-day Evaluation copy of the QI Macros Excel SPC Software for Six
Sigma
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Questions Asked, 90-day Money-Back Guarantee!
QI Macros Excel SPC Software for Histograms and Control Charts $139 Plus S&H
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The QI Macros for Excel $139,
is an inexpensive easy to use set of Excel add-ins for statistical process control
and Lean Six Sigma. It draws line, pie, bar, pareto, box whisker, histogram (Cp,
Cpk), scatter and control charts (with stability analysis).
It contains over 70 fill in the blank templates such as the Ishikawa diagram,
QFD, DOE, FMEA, PPAP, and Gage R&R for MSA. Performs ANOVA, t-test, F-test,
and regression analysis.

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