Scatter Plot Diagram to Analyze Correlation


© 2007 KnowWare International, Inc. DBA LifeStar
2253 S. Oneida St., Ste 3D
Denver, CO 80224

Jay Arthur
888-468-1537
303-756-9144
Email Us

We help people think!

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):

scatter plot showing strong positive linear correlation scatter plot showing strong positive linear correlation scatter plot showing strong negative linear correlation

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.

scatter plot diagram

scatter

How to Create a Scatter Plot Diagram

  1. Collect 20 or more paired data samples.
  2. Label the "effect" variable on left-hand (Y) axis.
  3. Label the suspected "cause" variable on the bottom (X) axis.
  4. Plot all of the paired points (the QI Macros will do this for you).
  5. 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

Buy the QI Macros Now! Unconditional, No Questions Asked, 90-day Money-Back Guarantee!

Buy QI Macros Excel SPC Software for Histograms and Control Charts Now QI Macros Excel SPC Software for Histograms and Control Charts $139 Plus S&H


© 2007 KnowWare International Inc. (888) 468-1537
knowwareman@qimacros.com
Home | Lean Six Sigma | QI Macros | KnowWare | Site Map

QI Macros 30-day Trial & FREE QI Macros Course
Name:
E-mail
 

QI Macros SPC Software for Excel
Or Buy It Now!
Unconditional
90-Day
Money-Back
Guarantee

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.

Buy All-in-One, Excel SPC Software Now

Quantity Discounts

Customer Testimonials

Minitab Comparison

QI Macros FAQs

FREE Lean Six Sigma Course
& QI Macros 30-day Trial
Name:
E-mail