Nothing happens. It simply means that there is no linear relationship between the two variables. It is possible that there is a non-linear relationship or that there is none.
0
The product-moment correlation coefficient or PMCC should have a value between -1 and 1. A positive value shows a positive linear correlation, and a negative value shows a negative linear correlation. At zero, there is no linear correlation, and the correlation becomes stronger as the value moves further from 0.
1
(a) Correlation coefficient is the geometric mean between the regression coefficients. (b) If one of the regression coefficients is greater than unity, the other must be less than unity. (c) Arithmetic mean of the regression coefficients is greater than the correlation coefficient r, provided r > 0. (d) Regression coefficients are independent of the changes of origin but not of scale.
You calculate a correlation coefficient and test to see if it is statistically different from 0.
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A serious error. The maximum magnitude for a correlation coefficient is 1.The Correlation coefficient is lies between -1 to 1 if it is 0 mean there is no correlation between them. Here they are given less than -1 value so it is not a value of correlation coefficient.
The weakest correlation coefficient is 0, which means there is absolutely no relationship between the two variables you are correlating.
34.32245Correlation coefficient is less than -1 and greater than 1.Note: The Correlation coefficient is lies between -1 to 1 if it is 0 mean there is no correlation between them.
The further the correlation coefficient is from 0 (ie the closer to ±1) the stronger the correlation.Therefore -0.75 is a stronger correlation than 0.25The strength of the correlation is dependant on the absolute value of the correlation coefficient; the sign of the correlation coefficient gives the "relative" slope of correlation line:+ve (0 to +1) means that as one variable increases the other also increases;-ve (0 to -1) means that as one variable increases the other decreases.
If the correlation coefficient is 0, then the two tings vary separately. They are not related.
This statement is incorrect. A correlation coefficient near 1 indicates a strong positive correlation between the variables, meaning that as one variable increases, the other tends to increase as well. Conversely, a correlation coefficient near -1 indicates a strong negative correlation, where one variable increases as the other decreases. A correlation coefficient close to 0 suggests little to no correlation.
Correlation coefficient is a measure of the strength and direction of a relationship between two variables. It quantifies how closely the two variables are related and ranges from -1 (perfect negative correlation) to 1 (perfect positive correlation), with 0 indicating no correlation.
A type of correlation coefficient is the Pearson correlation coefficient, which measures the strength and direction of the linear relationship between two continuous variables. Its value ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation. Other types include the Spearman rank correlation coefficient, which assesses the relationship between ranked variables, and the Kendall tau coefficient, which measures the ordinal association between two quantities.
The correlation coefficient that expresses the weakest degree of relationship is 0. A correlation coefficient of 0 indicates no linear relationship between the two variables being analyzed. Values closer to -1 or +1 indicate stronger negative or positive relationships, respectively. Thus, a coefficient of 0 signifies that changes in one variable do not predict changes in the other.
The product-moment correlation coefficient or PMCC should have a value between -1 and 1. A positive value shows a positive linear correlation, and a negative value shows a negative linear correlation. At zero, there is no linear correlation, and the correlation becomes stronger as the value moves further from 0.
A correlation coefficient measures the strength and direction of a linear relationship between two variables. It ranges from -1 to +1, where +1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 signifies no correlation. The closer the coefficient is to either extreme, the stronger the relationship. Additionally, it does not imply causation; a high correlation does not mean one variable causes changes in another.