# correlation

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correlation - a statistical measure that expresses the extent to which two variables are linearly related

A professor assumed there was a correlation between the amount of hours people were expose to sunlig
A professor assumed there was a correlation between the amount of hours people were expose to sunlight and their blood vitamin D level. The null hypothesis was that the population correlation was__ a. Positive 1.0 b. Negative 1.0 c. Zero d. Positive 0.50 [B]c. Zero[/B] Reason: Since the professor wanted to assume a correlation (either positive = 1.0 or negative = -1.0), then we take the other side of that assumption for our null hypothesis and say that there is no correlation (Zero)

Covariance and Correlation coefficient (r) and Least Squares Method and Exponential Fit
Free Covariance and Correlation coefficient (r) and Least Squares Method and Exponential Fit Calculator - Given two distributions X and Y, this calculates the following:
* Covariance of X and Y denoted Cov(X,Y)
* The correlation coefficient r.
* Using the least squares method, this shows the least squares regression line (Linear Fit) and Confidence Intervals of α and Β (90% - 99%)
Exponential Fit
* Coefficient of Determination r squared r2
* Spearmans rank correlation coefficient
* Wilcoxon Signed Rank test

Fisher Transformation and Fisher Inverse
Free Fisher Transformation and Fisher Inverse Calculator - Given a correlation coefficient (r), this calculates the Fisher Transformation (z).
Given a Fisher Transformation (r), this calculates the Fisher Inverse (r)

If the correlation between two variables is close to minus one, the association is: Strong Moderate
If the correlation between two variables is close to minus one, the association is: Strong Moderate Weak None [B]Strong[/B] - Coefficient near +1 or -1 indicate a strong correlation

In simple linear regression the slope and the correlation coefficient will have the same signs True
In simple linear regression the slope and the correlation coefficient will have the same signs True False [B]FALSE[/B] - Only if they are normalized

The coefficient of determination is found by taking the square root of the coefficient of correlatio
The coefficient of determination is found by taking the square root of the coefficient of correlation. True or False [B]FALSE[/B] - It is found by squaring the coefficient of correlation

What is the range of possible values for a coefficient of correlation?
What is the range of possible values for a coefficient of correlation? [B]The range is -1.0 to +1.0[/B]