In geometry, a linear relationship is represented as a straight line.
you put in what x is and solve it for y! thats the answer!
The answer requires the relevant context to be given.
A linear relationship will show up on a graph as a straight line.
To determine if a relationship is non-linear from a graph, look for patterns that do not form a straight line when plotting the data points. If the points curve or show a distinct pattern, such as a U-shape or an exponential increase, the relationship is likely non-linear. Additionally, analyzing the residuals from a linear regression can reveal non-linearity; if the residuals show a pattern rather than being randomly scattered, it indicates a non-linear relationship.
In a linear relationship, the pattern of change between two variables is represented by a straight line on a graph, indicating a constant rate of change. For example, if you consider the relationship between hours studied and exam scores, an increase in study hours consistently leads to higher scores, reflecting a positive linear correlation. Contextually, this means that as one variable increases, the other does so at a predictable rate, allowing for straightforward predictions and interpretations. This consistent pattern helps in understanding how one factor influences the other in real-world scenarios.
To determine if a relationship is linear, you can express it in the form of a linear equation, typically written as (y = mx + b), where (m) represents the slope and (b) is the y-intercept. If the equation can be rearranged to fit this format, it indicates a linear relationship. Additionally, a linear relationship will show a constant rate of change, meaning the difference in (y) values for equal changes in (x) values remains consistent. If the graph of the equation produces a straight line, the relationship is confirmed as linear.
y=mx+b
One variable is a multiple of the other. One context would be the cost of buying tins of baked beans - with no discount for large purchases. In the cost of one tin is x units then the cost of b tins will by b*x units.
You can create a scatter plot of the two variables. This may tell you if there is a relationship and, if so, whether or not it is linear. If there seems to be a linear relationship, you can carry out a linear regression. Note that the absence of a linear relationship does not mean that there is no relationship. The coordinates of the points on a circle do not show a linear relationship: the correlation coefficient is zero but there is a perfect and simple relationship between the abscissa and the ordinate. Even if there is evidence of a linear relationship, it may be valid only within the range of observations: do not extrapolate. For example, the increase in temperature of a body is linearly related to the amount of heat energy aded. However, for a solid, there will come a stage when the additional heat will not increase the temperature but will be used to melt (or sublimate) the solid. So the linear relationship will be broken.
Linear relationships show a constant rate of change between two variables, meaning that as one variable increases or decreases, the other variable does so in a proportional manner, often represented by a straight line on a graph. Non-linear relationships, on the other hand, involve a variable rate of change where the relationship can be represented by curves or more complex shapes, indicating that the effect of one variable on another varies at different levels. In summary, linear relationships produce predictable outcomes, while non-linear relationships can exhibit more complex and varied behaviors.
Go to your relationship status, and change the status to public or custom.
"Dose" is a measured portion of a medicine. So a non linear graph could show the quantity of medication that is needed for different conditions. The condition may be the age of the patient, their mass, severity of illness. "Non-linear" means that the graph is not a straight line: the same change in the independent variable does not lead to the same change in the dosage.