direct variation or positive correlation.
A 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.
It is a positive relationship.
Are in direct proportion
If the correlation is positive, as one increases so does the other.
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.
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.
The two quantities are porportional.
Direct variation
It is a positive relationship.
If they increase or decrease exactly, then the constant of proportionality or coefficient of proportionality. If not exactly, then a correlation coefficient.
Variation in direct proportion.
No. It can increase the volume in some cases, but not BECAUSE the molecules come closer together. If the molecules come closer together, the volume will DECREASE.
Are in direct proportion
It means that there is a strong positive association between changes in the two variables being studied. Positive association means that the two variables tend to increase together or decrease together. Note that there is no mention of a causal relationship between the variables.
It implies that an increase in x is accompanied by an increase in y. And similarly, they decrease together.
A correlation reflects the strength of the relationship between two variables. A correlation doesn't reflect causation, but merely that two phenomena are present at the same time. The closer the value is to 1, the stronger the relationship between two variables is. This value can be positive or negative. A negative value merely indicates that, as the values on one variable increase, the values on the second variable decrease. A positive correlation indicates that both values will increase or decrease together.
Addition is a mathematical operation that combines two or more numbers to create a sum. In terms of relationships, addition can represent combining or merging two or more quantities or entities together. It is typically used to find the total or final result when multiple quantities are added together.
Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.Correlation is a measure of the degree to which two variables change together. Positive correlation means that the variables increase together and decrease together. Negative correlation means that one variable increases when the other decreases.Correlation does not imply causality.