Question

The effect of sealer plate temperature (X₁) and sealer plate clearance (X₂) in a soap wrapping machine affects the percentage of wrapped bars (Y) which pass inspection. Obtain the scatter plot matrix and the correlation matrix. What information do these diagnostic aids provide here?

X1   X2   Y
190   130   35
176   174   81.7
205   134   42.5
210   191   98.3
230   165   52.7
192   194   82
220   143   34.5
235   186   95.4
240   139   56.7
230   188   84.4
200   175   94.3
218   156   44.3
220   190   83.3
210   178   91.4
208   132   43.5
225   148   51.7

Answer 1

Scatter plot Matrix Using R:

Rprogram: > pairs(Dataset)

There is relationship between X2 and Y but less relationship between X1 and Y. The data distribution between X1 and X2 are independent.

Correlation matrix:

R program:

> library(PerformanceAnalytics)

> chart.Correlation(cccc, histogram = TRUE, pch=19)

Using above plot, We can conclude that the data distribution between X1 and X2 are independent.

There is high correlation between X2 and Y but weak correlation between X1 and Y.