Simple correlation coefficient gives the right relationship between two variables, sometimes we use regression together to show the regression of one variable to a one unit of the other. Good luck.
No, correlation coefficients do not always give the correct measure of association between two signals. Correlation coefficients only measure the linear relationship between two variables , and may not fully capture other types of relationships or correlations. Better alternatives for correlation coefficients may include regression analysis or meta-analysis, which can help to identify more complex relationships between variables and can also account for confounding factors. Additionally, it is important to carefully consider the context and purpose of the analysis when choosing an appropriate method for measuring association between variables.
As Ajit Singh notes, there isn't a fixed answer that is always best. It depends on: (a) the nature of the scores you'd like to investigate and how they co-vary; and (b) how you operationalize "association."
There are non-linear measures of association, as well as linear measures (the most common being Pearson and Spearman correlations). As well, there are measures of association for categorical variables that do not reach ordinal or interval scale. So, it depends.