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Does correlation always equal causation?
No! Correlation by itself is not sufficient to infer or prove causation.
What type of correlation will the data have for a scatter plot of ages and heights of all students in your school?
It depends on the range of ages, but a moderate positive correlation.
What correlation coefficient best explains the relationship between creativity and intelligence?
both are inter related. an Intellectual always have the creativity and viceversa So the in betwenn the range -1 to +1 ... my heart goes to +1
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.
When a pair of variables have a positive correlation will the slope in the regression equation always be positive?
Yes
