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? Please show the the details that how to use R to draw scatter plot matrix and the correlation matrix.

1. X₁ to be a good predictor of Y and X₂ to be a poor predictor of Y.
2. There is a weak negative relationship between X₁ and Y. There is a strong positive relationship between X₂ and Y. There is very little correlation between X₁ and X₂.
3. Both X₁ and X₂ to be good predictors of Y.
4. Both X₁ and X₂ to be poor predictors of Y.

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