Based on the procedure of our case, we hypothesized that the duration of induced spy yeast death was relevant to the initial amounts of two types of yeast and production of secreted α factor. The duration of spy yeast death was proportional to the expression of Bax gene, while Bax gene expression depended on the activation efficiency of the promoter Fig2c. Thus, we should eventually determine whether the transcription efficiency of the Fig2c promoter is directly relevant to these three parameters. To verify the hypothesis, we used correlation analysis to calculate the correlation coefficients.
Coefficients is :

Suppose ρ is correlation coeeficients, σ₁σ₂is quantity of α yeast variance and the expression of Bax gene ε variance.