A correlation of 0 always means there is no relationship between x and y true or false?
True.
False. A correlation coefficient of 0 means that there is no linear relationship between variables x and y. However, it does not necessarily mean there is no relationship at all. There might be a non-linear relationship or other types of relationships that cannot be captured by the correlation coefficient.
False.
A correlation of 0 does not always mean there is no relationship between x and y. Correlation measures the strength and direction of the linear relationship between two variables, typically denoted as x and y. A correlation coefficient ranges from -1 to +1.
A correlation coefficient of 0 indicates no linear relationship between the variables, meaning that there is neither a positive nor negative linear trend. However, it is important to note that there may still exist a non-linear relationship or other types of relationships between the variables. Therefore, having a correlation coefficient of 0 does not necessarily mean there is no relationship between x and y, but rather that there is no linear association. To determine other types of relationships, it may be necessary to explore additional statistical analysis or data visualization techniques.