Correlation Coefficient = +1: A perfect positive relationship. Correlation Coefficient = 0.8: A fairly strong positive relationship. Correlation Coefficient
= 0.6
: A moderate positive relationship. Correlation Coefficient = 0: No relationship.
Which correlation coefficient best represents a moderate relationship between variables?
Correlation Coefficient = +1: A perfect positive relationship. Correlation Coefficient = 0.8: A fairly strong positive relationship. Correlation Coefficient
= 0.6
: A moderate positive relationship. Correlation Coefficient = 0: No relationship.
Is 0.4 A moderate correlation?
The sign of the correlation coefficient indicates the direction of the relationship. … For this kind of data, we generally consider correlations above 0.4 to be relatively strong;
correlations between 0.2 and 0.4 are moderate
, and those below 0.2 are considered weak.
What does a .5 correlation coefficient mean?
The main result of a correlation is called the correlation coefficient (or “r”). It ranges from -1.0 to +1.0. The closer r is to +1 or -1, the more closely the two variables are related. If r is close to 0, it means there is no relationship between the variables. …
5 means 25% of the variation is related
(.
What does a correlation of 0.36 mean?
The square of correlation value is 0.36 which means
36% of the dependent variable can be explained by the independent variable
. … You can calculate the 95% confidence interval of CC = 0 also, to see how wide or narrow is (the lower the simple size the higher the probability of null correlation).
What represents a weak positive correlation?
A weak positive correlation would indicate
that while both variables tend to go up in response to one another, the relationship is not very strong
. A strong negative correlation, on the other hand, would indicate a strong connection between the two variables, but that one goes up whenever the other one goes down.
Which represents a strong negative correlation?
The strength of a correlation relationship is quantified by its correlation coefficient, the strongest possible being “perfectly” correlated. … In general,
-1.0 to -0.70
suggests a strong negative correlation, -0.50 a moderate negative relationship, and -0.30 a weak correlation.
Is 0.2 A good correlation?
For example, a value of
0.2 shows there is a positive correlation between two variables
, but it is weak and likely unimportant. … However, a correlation coefficient with an absolute value of 0.9 or greater would represent a very strong relationship.
Is a correlation of 0.4 positive?
This implies that the data have a positive correlation. … Generally, a value of r greater than 0.7 is considered a strong correlation. Anything between 0.5 and 0.7 is a moderate correlation, and anything
less than 0.4 is considered a weak or no correlation
.
Is a correlation of 0.5 Significant?
Correlation coefficients whose magnitude are between 0.5 and 0.7 indicate variables which can be considered moderately correlated. Correlation coefficients whose magnitude are between 0.3 and 0.5 indicate variables which have
a low correlation
.
Is a strong or weak correlation?
| Correlation Coefficient (r) Description (Rough Guideline ) | +0.6 to 0.8 Strong + association | +0.4 to 0.6 Moderate + association | +0.2 to 0.4 Weak + association | 0.0 to +0.2 Very weak + or no association |
|---|
What does R 2 tell you?
R-squared (R
2
) is a statistical measure that
represents the proportion of the variance for a dependent variable that's explained by an independent variable or variables in a regression
model.
How do you know if a correlation coefficient is significant?
Compare r to the appropriate critical value in the table.
If r is not between the positive and negative critical values
, then the correlation coefficient is significant. If r is significant, then you may want to use the line for prediction. Suppose you computed r = 0.801 using n = 10 data points.
What is a perfect positive correlation?
A perfectly positive correlation means that
100% of the time
, the variables in question move together by the exact same percentage and direction. A positive correlation can be seen between the demand for a product and the product's associated price. … A positive correlation does not guarantee growth or benefit.
How much correlation is significant?
In most research the threshold to what we consider statistically significant is a
p-value of 0.05 or below
and it's called the significance level α. So we can set our significance level to 0.05 (α =0.05) and find the P-value.
Is correlation affected by extreme values?
Correlation describes linear relationships. Correlation does not describe curve relationships between variables, no matter how strong the relationship is. … The correlation coefficient is based on means and standard deviations, so it is not robust to outliers;
it is strongly affected by extreme observations
.
