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CoachA positive relationship.
It need not be a linear relationship. The length of the side of a square and its area increase and decrease together. But the relationship is quadratic, not linear. If you double the length you increase the area 4-fold.
It is not direct variation because that requires both of them to be 0 at the same time. For example, the temperature, as measured on the Celsius or Fahrenheit scale increase or decrease together. But the zeros on the two scales are different. So, if you double the C you do not always double the F.
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What is the relationship between two data sets when their data values increase or decrease together?
It is a positive relationship.
When two variables increase or decrease together in the same ratio they?
Are in direct proportion
What does it mean if two variables have a positive correlation?
If the correlation is positive, as one increases so does the other.
What indicates the direction of a relationship in a linear function?
The slope of the line. A positive slope shows that the two variables increase or decrease together. A negative slope indicates they move in opposite directions. A slope of 0 indicates that the "dependent" variable has the same, constant, value whatever value the independent variable takes.
Why does a correlation not establish a casual relationship between two variables?
Correlation only establishes the fact that the two variables in question change together - either one increases as the other decreases or they both increase together. It is possible that changes in the first cause changes in the second, or that changes in the second cause changes in the first, or that there is some third variable that is causing changes in both. For example, consider an infant and measure its height and vocabulary from age 2 to age 8. In normal circumstances these two variables (height and number of words he or she knows) increase together. But that does not mean that either of these factors causes the other. The obvious culprit here is time or age. Another possible, but less important factor may be nutrition. Whatever! The main point is greater height does not increase the child's vocabulary not does an increased vocabulary increase its height.
