Testing for the existence of correlation is equivalent to
A)testing for the existence of the slope
B)testing for the existence of the Y-intercept
C)the confidence interval estimate for predicting Y.
D)None of the above.

Question

Testing for the existence of correlation is equivalent to
A)testing for the existence of the slope 
B)testing for the existence of the Y-intercept 
C)the confidence interval estimate for predicting Y. 
D)None of the above.

Quizplus · Accepted Answer

Testing for correlation is essentially testing for the existence of a relationship between two variables, which can be represented by the slope of the regression line. The Y-intercept does not provide information about the strength or direction of the relationship between the variables, and the confidence interval estimate is related to the precision of the estimate rather than the existence of a correlation. Testing for the existence of correlation involves examining the strength and direction of the relationship between two variables, which can be measured by the slope of the regression line. If there is no correlation, the slope will be zero. Therefore, testing for the existence of correlation is equivalent to testing for the existence of the slope. Testing for the Y-intercept, on the other hand, only tells us about the starting point of the regression line and does not provide information about correlation. The confidence interval estimate for predicting Y is related to correlation but is not equivalent to testing for its existence.

Testing for the Existence of Correlation Is Equivalent to