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Table 1 Multiple regression results predicting noise

From: Protein stickiness, rather than number of functional protein-protein interactions, predicts expression noise and plasticity in yeast

Factor

 

Subtract Factor from Best Model Predicting Noise

Factor in Isolation

Subtract Factor from Best Model Predicting Noise

Factor in Isolation

    

   Plasticity Included in Model

Y2H PPI

R2

0.0093

0.0100

0.0064

0.0121

 

p

***

***

**

***

ACMS PPI

R2

ns

0.0081

ns

0.0114

 

p

-

**

-

***

TATA Box (+/−)

R2

0.075551

0.0779

0.06022

0.0752

 

p

***

***

***

***

Self Interaction (+/−)

R2

0.0067

0.0033

0.0038

0.0045

 

p

**

*

*

*

Gene Essentiality (+/−)

R2

0.017441

0.0169

0.01611

0.0211

 

p

***

***

***

***

Plasticity

R2

-

-

0.04953

0.0781

 

p

-

-

***

***

TATA × Essentiality

R2

0.0098

-

0.0060

-

 

p

***

-

**

-

Plasticity if TATA(+)

R2

-

-

0.0279

0.0815

 

slope

-

-

0.0010

0.0015

 

p

-

-

***

***

Plasticity if TATA(−)

R2

-

-

0.0219

0.0281

 

slope

-

-

0.0004

0.0005

 

p

-

-

***

***

TATA × Plasticity

R2

-

-

0.0075

-

 

p

-

-

**

-

  1. 1 also removed TATA × Essentiality.
  2. 2 also removed TATA × Essentiality, Plasticity if TATA(+), Plasticity if TATA(), and restored Plasticity.
  3. 3 removed Plasticity if TATA(+) and Plasticity if TATA().
  4. Models without (1st two numeric columns) and with (last two columns) plasticity as a predictor are shown. After extensive model building, we found that high noise is predicted by low stickiness (low Y2H degree), presence of a TATA box, ability to bind itself, non-essentiality, and high plasticity. A statistically significant interaction term between TATA presence and non-essentiality shows that these two factors have synergistic effects. The TATA × plasticity interaction term is also statistically significant (last row). To provide greater insight, we transformed 3 terms (TATA, plasticity and their interaction) into more intuitive forms (TATA, plasticity if TATA(+), plasticity if TATA(−)). The slope coefficient for plasticity if TATA(+) is 2.5 times larger than that for plasticity if TATA(−), but they make similar contributions to R2 due to the much larger number of TATA(−) genes. R2 values are shown for each predicting factor in isolation (2nd and 4th numeric columns), as well as, more importantly, for the reduction in the total coefficient of determination R2 when the factor is removed from the best model (1st and 3rd numeric columns). Sometimes, as indicated in the footnotes, this involved removing multiple terms and reversing the interaction factor transformation to get a biologically interpretable result. “ns” indicates p > 0.05, * p < 0.05, ** p < 0.01, *** p < 0.001.