Natural Rubber Blend Optimization via Data-Driven Modeling: The Implementation for Reverse Engineering.

The correlation matrix is constructed by using the Equation (5) below whereas x may represent sulfur content and y could be voids. (5) r = Σ x i − x ̄ y i − y ̄ Σ x i − x ̄ 2 Σ y i − y ̄ 2 r = correlation coefficient x i = values of the x − variable in a sample x ̄ = mean of the values of the x − variable y i = values of the y − variable in a sample y ̄ = mean of the values of the y − variable Figure 13 below shows the normalized heat map where a Pearson correlation coefficient closer to −1 translates to a highly significant decreasing effect on the specific property, a value of +1 translates to a highly significant increasing effect on the specific property, and a value near zero is interpreted as an insignificant parameter to the property of interest.

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With the Pearson correlation coefficient for sulfur on tan δ being −0.8, it is expected to see a decreasing trend on tan δ with increasing sulfur content.

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