which of the following correlation coefficients is stronger?course hero

What is a strong correlation between two variables?

As a rule of thumb, a correlation greater than 0.75 is considered to be a “strong” correlation between two variables. However, this rule of thumb can vary from field to field. For example, a much lower correlation could be considered strong in a medical field compared to a technology field.

What does a Pearson correlation coefficient tell you?

A Pearson correlation coefficient merely tells us if two variables are linearly related. But even if a Pearson correlation coefficient tells us that two variables are uncorrelated, they could still have some type of nonlinear relationship. This is another reason that it’s helpful to create a scatterplot.

Can a correlation coefficient be greater than a scatter plot?

A correlation coefficient by itself couldn’t pick up on this relationship, but a scatterplot could. As a rule of thumb, a correlation greater than 0.75 is considered to be a “strong” correlation between two variables. However, this rule of thumb can vary from field to field.

What is an example of a strong positive correlation?

Strong positive correlation: When the value of one variable increases, the value of the other variable increases in a similar fashion. For example, the more hours that a student studies, the higher their exam score tends to be. Hours studied and exam scores have a strong positive correlation.

Which correlation coefficients is the strongest?

The strongest linear relationship is indicated by a correlation coefficient of -1 or 1. The weakest linear relationship is indicated by a correlation coefficient equal to 0. A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.

Is 1.5 A strong correlation coefficient?

You can not get a correlation of 1.5. A value of -1.00 would be a perfect (very strong) negative correlation, a value of +1.00 would be a perfect (very strong) positive correlation, and a value of 0.00 would be a (very weak) zero or neutral correlation....Depression (X)Self-Esteem (Y)71337 more rows

Is a correlation coefficient of 0.15 strong?

For a natural/social/economics science student, a correlation coefficient higher than 0.6 is enough. Correlation coefficient values below 0.3 are considered to be weak; 0.3-0.7 are moderate; >0.7 are strong.

Is 0.6 A strong correlation coefficient?

If we wish to label the strength of the association, for absolute values of r, 0-0.19 is regarded as very weak, 0.2-0.39 as weak, 0.40-0.59 as moderate, 0.6-0.79 as strong and 0.8-1 as very strong correlation, but these are rather arbitrary limits, and the context of the results should be considered.

Is 0.67 A strong correlation?

Correlation Coefficient = 0.8: A fairly strong positive relationship. Correlation Coefficient = 0.6: A moderate positive relationship.

Is .90 a strong correlation?

90 or above (or -. 90 or below) will be said to be strong, correlations of . 70 to .

Is a correlation coefficient of 0.4 strong?

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 coefficient of 0.2 strong?

The magnitude of the correlation coefficient indicates the strength of the association. For example, a correlation of r = 0.9 suggests a strong, positive association between two variables, whereas a correlation of r = -0.2 suggest a weak, negative association.

Is .85 a strong correlation?

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.

Is a correlation of 0.5 strong?

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 0.25 A strong correlation?

As a rule of thumb, a correlation coefficient between 0.25 and 0.5 is considered to be a “weak” correlation between two variables.

Is .36 a strong correlation?

Conclusion. In summary: As a rule of thumb, a correlation greater than 0.75 is considered to be a “strong” correlation between two variables.

Why does Hope conclude that there is an association between the variables?

Because the graph shows a pattern that is an arch shape, Hope can conclude that there is an association between the variables. However, because the relationship is not linear, there is no correlation. The pattern shows that as one variable changes, the other variable changes in the same way.

Is a weak correlation likely causal?

It is a weak negative correlation, and it is not likely causal. It is a weak negative correlation, and it is likely causal. It is a strong negative correlation, and it is not likely causal. It is a strong negative correlation, and it is likely causal. It is a weak negative correlation, and it is likely causal.

What does a Pearson correlation coefficient tell us?

But even if a Pearson correlation coefficient tells us that two variables are un correlated, they could still have some type of nonlinear relationship. This is another reason that it’s helpful to create a scatterplot.

What is a strong positive correlation?

Strong positive correlation: When the value of one variable increases, the value of the other variable increases in a similar fashion. For example, the more hours that a student studies, the higher their exam score tends to be. Hours studied and exam scores have a strong positive correlation. Strong negative correlation: When the value ...

Why do you need to create a scatterplot?

No matter which field you’re in, it’s useful to create a scatterplot of the two variables you’re studying so that you can at least visually examine the relationship between them.

Is the correlation between college grades and job performance low?

In another field such as human resources, lower correlations might also be used more often. For example, the correlation between college grades and job performance has been shown to be about r = 0.16. This is fairly low, but it’s large enough that it’s something a company would at least look at during an interview process.

Does hours studied have a positive correlation?

Hours studied and exam scores have a strong positive correlation. Strong negative correlation: When the value of one variable increases, the value of the other variable tends to decrease. For example, the older a chicken becomes, the less eggs they tend to produce. Chicken age and egg production have a strong negative correlation.

Is taking a drug to reduce the chance of heart attack a positive or negative relationship?

If the relationship between taking a certain drug and the reduction in heart attacks is r = 0.3, this might be considered a “weak positive” relationship in other fields, but in medicine it’s significant enough that it would be worth taking the drug to reduce the chances of having a heart attack.

Is the correlation between variables strong?

And in a field like technology, the correlation between variables might need to be much higher in some cases to be considered “strong.” For example, if a company creates a self-driving car and the correlation between the car’s turning decisions and the probability of getting in a wreck is r = 0.95, this is likely too low for the car to be considered safe since the result of making the wrong decision can be fatal.