October 2012
Beginner
420 pages
9h 37m
English
book
Industrial Statistics with Minitab
by Pere Grima Cintas, Lluis Marco Almagro, Xavier Tort-Martorell Llabres
Content preview from Industrial Statistics with Minitab
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25.3 Wear
To study the possible relationship between the wear and tear of a cutting machine and both its rotation speed and the material it was made of, the data of file WEAR.MTW are provided:
| Col. | Content |
| C1 | Wear and tear after 8 hours of operation (in tenths of a mm) |
| C2 | Rotation speed (in rpm) |
| C3 | Type of steel (encoded as 0 and 1) |
The aim is to find an equation that explains the wear and tear as a function of both variables available.
As always, we start with an exploratory analysis of the data:
Graph > Matrix Plot > Matrix of plots: Simple
Looking at the Matrix Plot, we can rule out the presence of anomalous values. Regarding the relations among the variables, we see that a higher speed is associated with a major wear, and that material 1 wears out more than material 0.
In this case, it is also a good idea to draw a scatterplot of wear versus speed stratified according to the material.
Graph > Scatterplot: With Groups
We can clearly see the relation between wear and speed as well as that material 1 wears out more than material 0. We compute the equation of the regression model:
Stat > Regression > Regression
Since the type of material is a categorical ...
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