Which of the following is false? Correlation coefficient and the slope always have the same sign...
Which of the following is false?
Correlation coefficient and the slope always have the same sign (positive or negative).
If the correlation coefficient is 1, then the slope must be 1 as well.
Correlation measures the strength of linear association between two numerical variables.
If the correlation between two variables is close to 0.01, then there is a very weak linear relation between them.
Homework Answers
TRUE , Correlation coefficient and the slope always have the same sign (positive or negative). (sign of correlation shows direction of relationship, which is same as slope)
FALSE, If the correlation coefficient is 1, then the slope must be 1 as well. (there is no such rule)
TRUE , Correlation measures the strength of linear association between two numerical variables. (the magnitude of correlation shows the amount of strength, and the sign shows the direction)
TRUE, If the correlation between two variables is close to \(0.01\), then there is a very weak linear relation between them. (by definition, zero correlation means no linear relationship, and any correlation away from 0 is better than zero.)
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