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.
Direct variation
The relationship between two quantities that increase or decrease together is called a positive correlation. This means that as one quantity increases, the other quantity also increases, and vice versa.
Direct relationship: When two quantities increase or decrease together. Inverse relationship: When one quantity increases while the other decreases. Linear relationship: When the relationship between the quantities can be represented by a straight line. Nonlinear relationship: When the relationship between the quantities cannot be represented by a straight line.
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.
When two quantities increase or decrease together, they exhibit a positive correlation. This means that as one quantity rises, the other also goes up, and vice versa. Positive correlation indicates a relationship in which both variables move in the same direction.
An increase in pressure will cause the gas molecules to be compressed closer together, which will increase the frequency of collisions between molecules. This can lead to an increase in temperature and a decrease in volume of the gas.
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
The surface energy decreases with an increase in planar density. This is because a higher planar density means more atoms are closely packed together, leading to a decrease in the number of surface atoms and therefore a decrease in surface energy.
To increase frictional force, you can increase the roughness of the surfaces in contact, increase the normal force pressing the surfaces together, or increase the coefficient of friction by using materials that interact with more resistance. To decrease frictional force, you can use lubricants to reduce surface interaction, decrease the normal force, or use smoother materials to reduce resistance.