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What exists if the y-coordinates decrease as the x-coordinates increase?
A negative correlation
Is a correlation coefficient of -626 very strong?
A correlation coefficient has a range of -1 to 1. Any number outside of this range has been incorrectly calculated. I note that is you meant to ask - Is r= -0.626 is a very strong correlation coefficient? then the answer No, this value is not a strong indicator that a linear relationship exists. Please see related link. The diagrams showing x-y graphs and the correlation coefficients is a good way to gain a "feel" of the coefficients and strength of relationships.
What is a sample correlation?
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.
What is a Correlation coefficient of 0.00457?
Evidence that there is no correlation.
What are the trends of a line?
They can be positive correlation, negative correlation or no correlation depending on 'line of best fit'
