The phrase "a very weak correlation" is correct and usable in written English.
It can be used in contexts where you are discussing the relationship between two variables, indicating that the relationship is minimal or not significant.
Example: "The study found a very weak correlation between hours studied and exam scores, suggesting that other factors may play a more important role."
Alternatives: "a slight correlation" or "a minimal correlation".
Examination of cell area and TN-C promoter activity as indicated by GFP intensity shows that on the average, cell area and average GFP intensity appear to be correlated, but cell-by-cell analysis indicates at best a very weak correlation between cell spreading and promoter activity within individual cells.
The unemployment rate, moreover, historically has a very weak correlation with an incumbent president's re-election performance.
Even in the home of "Judge Dredd" sentencing – the US – the research studies have shown a very weak correlation between the severity of punishments and crime rates.Von Hirsch and Bottoms say one deterrent factor does have a strong impact – the social ties of the potential offender.
The second method cannot lead to accurate predictions because NO reactions take place essentially when the fuel oxidation is over, therefore the NO reaction rate shows a very weak correlation with the progress variable.
Core scale simulations performed on a pore network anchored to measured petrophysical properties of a 0.23mD chalk core from a North Sea reservoir show a very weak correlation between depletion rate and critical gas saturation, contrary to observations in higher permeability clastic media.
Insertion torque and ISQ at time of implant placement presented a very weak correlation (r = 0.0509).
However, despite this correlation between the overall scores of both instruments, we found only a weak, or very weak correlation between the dimensions of each instrument that were pre-determined as being theoretically similar.
Unlike in the mtDNA sequence, a significant, but very weak, correlation between genetic and geographic distances (β = 0.005, r = 0.362, p = 0.027; Additional file 1) was found, but S. myoti nuclear and mitochondrial genetic distance were nevertheless also significantly correlated (r = 0.26, p = 0.049).
A detailed investigation in Schistosoma mansoni and Schistosoma japonicum finds no correlation between tRNA gene numbers and codon usage, while a statistically significant but still very weak correlation is observed in Schmidtea mediterranea [ 19].
As expected, this effect is mainly due to an increase in RCBS correlation with log expression, rather than a decrease in CAIs, since CAI shows very weak correlation with length (r = 0.114***, ρ = 0.143***) on the 4029 E. coli gene set (Supplementary Fig. S2).
There is an apparent lack of understanding of the very weak correlation between the important indices of public health and medical care.
