the negative sign on correlation just means that the slope of the Least Squares Regression Line is negative.
This means that the correlation is negative but still significant.
I believe you are asking how to identify a positive or negative correlation between two variables, for which you have data. I'll call these variables x and y. Of course, you can always calculate the correlation coefficient, but you can see the correlation from a graph. An x-y graph that shows a positive trend (slope positive) indicates a positive correlation. An x-y graph that shows a negative trend (slope negative) indicates a negative correlation.
a correlation on a graph is when the line of best fit is positive, negative or none.
Negative
If the two variables increase together and decrease together AND in a linear fashion, the correlation is positive. If one increases when the other decreases, again, in a linear fashion, the correlation is negative.
No, it indicates an extremely strong positive correlation.
Yes.
The correlation coefficient that indicates a strong negative correlation is -0.95. Correlation coefficients range from -1 to 1, where values closer to -1 indicate a stronger negative relationship between variables. In this case, -0.95 shows a significant inverse relationship, while the other values indicate weaker or positive correlations.
Yes, but the relationship need not be causal.
Positive correlation has a positive slope and negative correlation has a negative slope.
A mistake in calculations! ;) If the calculations are done correctly then the sample correlation must lie within the closed interval [-1, 1].
A correlation coefficient quantifies the strength and direction of the relationship between two variables. Ranging from -1 to 1, a value of 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 signifies no correlation. Higher absolute values indicate stronger relationships, while lower values suggest weaker or no relationships. It's important to note that correlation does not imply causation.
Positive correlation = positive association Negative correlation = negative association
No.
positive correlation-negative correlation and no correlation
It's a negative correlation because it is less than 0
The signs of a correlation coefficient indicate the direction of the relationship between two variables. A positive correlation coefficient (r > 0) suggests that as one variable increases, the other variable also tends to increase. Conversely, a negative correlation coefficient (r < 0) indicates that as one variable increases, the other tends to decrease. A correlation coefficient of zero (r = 0) implies no linear relationship between the variables.