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How do you find the linear function when given a table of values for the variables?
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What does it mean to find the value of an algebraic expression?
When a given set of values for the variables are substituted in the expression the result is the value of the expression.
What are limits in maths?
Limits (or limiting values) are values that a function may approach (but not actually reach) as the argument of the function approaches some given value. The function is usually not defined for that particular value of the argument.
How can you evaluate a expression?
replace the variables with the given values and simplify using the order of operations.
When both variables cancel in a linear equation leaving you with a true statement. How should this be interpereted?
It means that whatever you have substituted is the solution of the given linear equation. Or you have substituted the equation in itself.
When you compare two variables how does that turn into slope?
Suppose you have a sample of n points for two variables: (x1, y1), (x2, y2), ... (xn, yn). Without going into various statistical considerations (which are nonetheless important) you can estimate the slope of the 'best' line that can be used to estimate the values of y from the values of x using for formula given for beta-hat in the wikipedia article for simple linear regression.
How do you find a point of a linear function?
Given a linear function in n variables, you need to select values for (n-1) of the variables. Solve the resulting function for the nth variable. Then the ordered n-tuple represents the coordinates, in n-dimensional space, of a point that is on the linear function.Selecting different sets of (n-1) variables, and different values will result in different solutions. Together, these will from a line in n-dimensional space.
Why are function notation important?
A function is a relationship between quantities (variables) that occurs when the value of one of the quantities can be given uniquely by specified values of the other quantities. The variables involved can be either independent or dependent. The values of certain variables are fixed while others are allowed to change. The fixed variables are called the independent variables, and the dependent variables are those that change in response to the given value of the independent variable. A function therefore relates dependent variables to independent variables, the only restriction being that each value of the dependent variable is given uniquely by one, and only one, value for each of the independent variables.
How would you find the equation for a linear function when you are given a table of values for the variables?
If the figures in the table are exact and without measurement error then take any two of the points (x1, y1) and (x2, y2) and use these to form the linear relation y - y1 = ((y2 - y1)/(x2 - x1))(x - x1) If, however, you suspect that the values in the table do not exactly follow a linear relationship then use linear regression for which formulae are provided in wikipedia.
How are the independent and dependent variables related?
Independent variables can take values within a given boundary. The dependent variable will take values based on the independent variable and a given relationship at which the former can take its values.
How are dependent variables and independent variable the related?
Independent variables can take values within a given boundary. The dependent variable will take values based on the independent variable and a given relationship at which the former can take its values.
Is the following function linear or nonlinear If linear, state the rate of change?
o function is given. However, if linear , then the rate of change is the same as the steepness of the graph line.
What does it mean to find the value of an algebraic expression?
When a given set of values for the variables are substituted in the expression the result is the value of the expression.
How do you expressions?
Replace the variables with the given values. Then you calculate using the order of operations.
Is a plus b divisible by c?
Sometimes. It depends on the values given to the variables.
What are limits in maths?
Limits (or limiting values) are values that a function may approach (but not actually reach) as the argument of the function approaches some given value. The function is usually not defined for that particular value of the argument.
How can you evaluate a expression?
replace the variables with the given values and simplify using the order of operations.
What is a zero order table in statistics?
A zero-order table is simply a table showing variables controlled for. As an example, given an equation of two variables, this table shows the values that result from the available values for those two variables.
