A variable has a linear effect when its relationship with another variable can be accurately described by a straight line in a graph. This means that changes in the independent variable result in proportional and constant changes in the dependent variable, regardless of the values of the variables. In mathematical terms, this is often expressed in the form of a linear equation, such as (y = mx + b), where (m) represents the slope and (b) the y-intercept. Linear effects imply predictability and simplicity in the relationship between the variables.
It seems part of this question is missing. Perhaps the answer is that you might compare the effect to basic functions such as linear, quadratic, or exponential.
No, if there is a sqaured variable, the equation is not linear.
"Bilinear" is a mathematical term for something being linear in each variable.
The answer depends on what you mean by "A".
A linear graph shows a linear equation in which the value of one variable depends on the value of the other variable.
ControlThe answer will depend on the nature of the effect. IFseveral requirements are met (the effect is linear, the "errors" are independent and have the same variance across the set of values that the independent variable can take (homoscedasticity) then, and only then, a linear regression is a standard. All to often people use regression when the data do not warrant its use.
It appears to be a linear equation in the variable, g.It appears to be a linear equation in the variable, g.It appears to be a linear equation in the variable, g.It appears to be a linear equation in the variable, g.
It seems part of this question is missing. Perhaps the answer is that you might compare the effect to basic functions such as linear, quadratic, or exponential.
No, if there is a sqaured variable, the equation is not linear.
"Bilinear" is a mathematical term for something being linear in each variable.
The answer depends on what you mean by "A".
A linear graph shows a linear equation in which the value of one variable depends on the value of the other variable.
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.
as one variable increases the other variable decreases
Solving a one variable linear equation involves getting the variable on one side of the equals sign by itself. To do this one uses the properties of numbers.
ControlThe answer will depend on the nature of the effect. IFseveral requirements are met (the effect is linear, the "errors" are independent and have the same variance across the set of values that the independent variable can take (homoscedasticity) then, and only then, a linear regression is a standard. All to often people use regression when the data do not warrant its use.
The clue is in the name - variable.