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A correlation coefficient of 1 or -1 would be the highest possible statistical relationship. However, the calculation of correlation coefficients between non independent values or small sets of data may show high coefficients when no relationship exists.

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Q: Which of these correlation numbers shows the strongest relationship?
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What is the meaning of zero correlation?

If variables have zero correlation, they do not have a linear relationship. Zero correlation shows that two things were not found to be related.


What is it called when one variable increases the other variable shows no relationship?

No correlation.


When an experiment shows that two variable are closely related that experiment shows?

that there is a correlation between the two variables. However, correlation does not imply causation, so it is important to further investigate to determine the nature of the relationship between the variables.


When an experiment showes that two variable are closely related the experiment shows?

correlation


What shows relationship between implementation of programs and the sites ability to meet objectives and goals?

Trend correlation


If two variables are highly correlated the correlation coefficient will be at or near zero-true or false?

If two variables are highly correlated, the Pearson correlation will be close to -1.0 or +1.0. A correlation of zero shows no relationship.


What shows relationship between implementation of programs and the site's ability to meet objectives and goals?

D. Trend correlation


How is a scatter plot that shows no correlation different from a scatter plot that has a negative corrrelation?

A scatterplot with no correlation means that there is no relation between the two categories, a negative correlation means that the two categories have a relationship that as one gets greater the other gets smaller


Difference between Multicollinearity and Autocorrelation?

Multicolinearity shows the relationship of two or more variables in a multi-regression model. Auto-correlation shows the corellation between values of a process at different point in times.


When an experiment shows that two variable are related the experience shows?

correlation


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.


When an experiment shows that two variable ate closely related the experiment shows?

that there is a strong correlation between the two variables. This suggests that a change in one variable is associated with a change in the other variable. However, correlation does not imply causation, so further experiments are needed to establish if there is a causal relationship between the variables.