![]() ![]() We recall that the points on a scatter plot with a positive weak correlation coefficient generally increase from left or right, but the points are loosely spread apart. This means that our product-moment correlation coefficient will be found somewhere above zero. In this example, we are told that all the points lie directly on a straight line of positive slope. And the stronger the correlation, the closer □ is to one or negative one. Regardless of positive or negative, the weaker the correlation, the closer □ is to zero. If two variables have perfect negative or inverse correlation, then □ equals negative one.Īll positive direct correlations are found to the right of zero, and all negative inverse correlations are found to the left of zero. If two variables have perfect positive or direct correlation, then □ equals one. If □ is close to one, there is no correlation between the variables. It will be helpful to picture □ on a number line from negative one to positive one. The coefficient known as □ can take values in the closed interval from negative one to positive one and can tell us how strongly two continuous variables are linearly correlated. The product-moment correlation coefficient is also known as Pearson’s correlation coefficient. If all points on a scatter diagram lie directly on a straight line of positive slope, what is the value of the product-moment correlation coefficient for this data set?įirst, we will recall the definition of a product-moment correlation coefficient. ![]()
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