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correlation implies the cause and effect relationship,, but casuality doesn't imply correlation.
A correlation coefficient of 0.15 indicates a weak positive relationship between the two variables. This means that as one variable increases, there is a slight tendency for the other variable to also increase, but the relationship is not strong or consistent. It suggests that other factors may be influencing the variables, and the correlation is not significant enough to imply a definitive link.
If measurements are taken for two (or more) variable for a sample , then the correlation between the variables are the sample correlation. If the sample is representative then the sample correlation will be a good estimate of the true population correlation.
Evidence that there is no correlation.
They can be positive correlation, negative correlation or no correlation depending on 'line of best fit'