Infatuation Rules
Infatuation Rules
Photo: Keira Burton
A correlation coefficient of -0.8 or lower indicates a strong negative relationship, while a coefficient of -0.3 or lower indicates a very weak one.
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Your friends can help you get perspective. A trusted friend who is familiar with your past and current relationships is the perfect person to come...
Read More »A correlation coefficient is used in statistics to describe a pattern or relationship between two variables. A negative correlation describes the extent to which two variables move in opposite directions. For example, for two variables, X and Y, an increase in X is associated with a decrease in Y. A negative correlation coefficient is also referred to as an inverse correlation. Correlation relationships are graphed in scatterplots. Key Takeaways A correlation coefficient measures the strength of the relationship between two variables. The most commonly used correlation coefficient is the Pearson coefficient, which ranges from -1.0 to +1.0. A positive correlation indicates two variables that tend to move in the same direction. A negative correlation indicates two variables that tend to move in opposite directions. A correlation coefficient of -0.8 or lower indicates a strong negative relationship, while a coefficient of -0.3 or lower indicates a very weak one. r = ∑ ( x i − x ˉ ) ( y i − y ˉ ) ∑ ( x i − x ˉ ) 2 ∑ ( y i − y ˉ ) 2 where: r = Correlation coefficient x i = Values of the x -variable in a sample x ˉ = Mean of the values of the x -variable y i = Values of the y -variable in a sample y ˉ = Mean of the values of the y -variable egin{aligned}&r=frac{sum(x_i-ar{x})(y_i-ar{y})}{sqrt{sum(x_i-ar{x})^2sum(y_i-ar{y})^2}}\& extbf{where:}\&r= ext{Correlation coefficient}\&x_i= ext{Values of the $x$-variable in a sample}\&ar{x}= ext{Mean of the values of the $x$-variable}\&y_i= ext{Values of the $y$-variable in a sample}\&ar{y}= ext{Mean of the values of the $y$-variable}end{aligned} r=∑(xi−xˉ)2∑(yi−yˉ)2∑(xi−xˉ)(yi−yˉ)where:r=Correlation coefficientxi=Values of the x-variable in a samplexˉ=Mean of the values of the x-variableyi=Values of the y-variable in a sampleyˉ=Mean of the values of the y-variable
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Read More »What Does a Correlation Coefficient of Zero Mean? A correlation coefficient of zero indicates the absence of a relationship between the two variables being studied. If two variables have a correlation coefficient of zero, then it is impossible to predict if or how one variable will change in response to changes in the other variable. Does a Correlation Coefficient of -0.8 Indicate a Strong or Weak Negative Correlation? A correlation coefficient of -0.8 indicates an exceptionally strong negative correlation, meaning that the two variables tend to move in opposite directions. The closer the coefficient is to -1.0, the stronger the negative relationship will be. What Is the Difference Between a Negative Correlation and a Positive Correlation? A negative correlation indicates two variables that tend to move in opposite directions: a positive change in one variable will be accompanied by a negative change in the other variable. A positive correlation indicates that the variables move in the same direction: a positive change in one variable will tend to accompany a positive change in the other variable.
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