If you find a Pearson's correlation of zero between two continuous variables, this means:
A. There is no relationship between the two variables
B. There is a strong relationship between the two variables
C. There may be a non-linear relationship between the two variables
D. Two of these answers are correct
Answer: Pearson's coefficient of correly measure the degree of linear relationship between two variable. The range of correlation coefficient is -1 to 1.
r=-1 means there is negative correlation between variables.
r=0 means there is no relationship or non linear relationship between the variable.
r=1 means there is perfect positive correlation between two variables.
So the option A and C are correct.
A. There is no relationship between the two variable
C. There may be a non-linear relationship between the two variables
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