0
Does a negative correlation coefficient indicate an inverse relationship?
Wiki User
∙ 14y ago
Yes, but the relationship need not be causal.
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
What does a strong negative correlation coefficient mean?
The graph follows a very strong downward trend. Would have helped if you specified which correlation coefficient; there are different types.
What is the range of correlation coefficient and what does its value tell?
The product-moment correlation coefficient or PMCC should have a value between -1 and 1. A positive value shows a positive linear correlation, and a negative value shows a negative linear correlation. At zero, there is no linear correlation, and the correlation becomes stronger as the value moves further from 0.
What is the maximum and minimum value of the correlation coefficient?
The correlation can be anything between +1 (strong positive correlation), passing through zero (no correlation), to -1 (strong negative correlation).
When doing linear regression if the correlation coefficient is positive the slope of the line is negative?
False.
What does the negative correlation coefficient -0.976 mean?
There appears to be a very strong negative linear relationship between the two variables. One variable increases as the other decreases following a linear relationship over the domains of measurement. A correlation coefficient can say nothing about causality. It is possible that changes in the first variable causes changes in the second or the other way around. Or, it could be that neither of them cause the other, but both are caused by something else.
When is the standard correlation coefficient positive?
Assume that you are correlating two variables x and y. If there is an increasing relationship between x and y, (that is , the graph of y=a+bx, slopes upward), the correlation coefficient is positive. Similarly, if there is a decreasing relationship, the correlation coefficient is negative. The correlation coefficient can assume values only between -1 and 1.
Is 0.5 the strongest correlation coefficient?
No. The strongest correlation coefficient is +1 (positive correlation) and -1 (negative correlation).
What does the sign of the correlation coefficient tell you about the association?
Positive correlation = positive association Negative correlation = negative association
What is the meaning of correlation coefficient?
The correlation coefficient takes on values ranging between +1 and -1. The following points are the accepted guidelines for interpreting the correlation coefficient:0 indicates no linear relationship.+1 indicates a perfect positive linear relationship: as one variable increases in its values, the other variable also increases in its values via an exact linear rule.-1 indicates a perfect negative linear relationship: as one variable increases in its values, the other variable decreases in its values via an exact linear rule.Values between 0 and 0.3 (0 and -0.3) indicate a weak positive (negative) linear relationship via a shaky linear rule.Values between 0.3 and 0.7 (0.3 and -0.7) indicate a moderate positive (negative) linear relationship via a fuzzy-firm linear rule.Values between 0.7 and 1.0 (-0.7 and -1.0) indicate a strong positive (negative) linear relationship via a firm linear rule.The value of r squared is typically taken as "the percent of variation in one variable explained by the other variable," or "the percent of variation shared between the two variables."Linearity Assumption. The correlation coefficient requires that the underlying relationship between the two variables under consideration is linear. If the relationship is known to be linear, or the observed pattern between the two variables appears to be linear, then the correlation coefficient provides a reliable measure of the strength of the linear relationship. If the relationship is known to be nonlinear, or the observed pattern appears to be nonlinear, then the correlation coefficient is not useful, or at least questionable.
What does a correlation coefficient value of negative two indicate?
A mistake in calculations! ;) If the calculations are done correctly then the sample correlation must lie within the closed interval [-1, 1].
What does a correlation coefficient of zero indicates?
A coefficient of zero means there is no correlation between two variables. A coefficient of -1 indicates strong negative correlation, while +1 suggests strong positive correlation.
What value or benefit would a researcher gain by calculating a correlation coeffcient rather than simply describing the relationship as a positive correlation or a negative correlation?
The correlation coefficient gives a measure of the degree to which changes in the variables are related. However, the relationship need not be causal.
When the correlation coefficient is negative?
The dependent variable has an inverse linear relationship with the dependent variable. When the dependent increases, the independent decreases, and conversely.
Is -012 a negative correlation?
No. A correlation coefficient cannot be less than -1 (or greater than +1)
What negative correlation indicate?
the negative sign on correlation just means that the slope of the Least Squares Regression Line is negative.
Can A regression equation have a negative coefficient of correlation and a negative coefficient of determination?
It's not quite possible for the coefficient of determination to be negative at all, because of its definition as r2 (coefficient of correlation squared). The coefficient of determination is useful since tells us how accurate the regression line's predictions will be but it cannot tell us which direction the line is going since it will always be a positive quantity even if the correlation is negative. On the other hand, r (the coefficient of correlation) gives the strength and direction of the correlation but says nothing about the regression line equation. Both r and r2 are found similarly but they are typically used to tell us different things.
What does a strong negative correlation coefficient mean?
The graph follows a very strong downward trend. Would have helped if you specified which correlation coefficient; there are different types.
