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Q: What equation defines the linear line of best fit for the data in the table?
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Is the regression equation a mathematical equation that defines the relationship between two variables?

No. It is an estimated equation that defines the best linear relationship between two variables (or their transforms). If the two variables, x and y were the coordinates of a circle, for example, any method for calculating the regression equation would fail hopelessly.


What best describes a linear function?

A linear function is a function, or equation, that when graphed, will form a straight line.


How do you create a Linear Equation using data?

There are two cases to consider. The first is one in which you have a table which is generated using a linear equation and you merely want to reproduce the linear equation.Select any two distinct points, each of which will be represented by an ordered pair.Suppose the pairs are (p, q) and (r, s).Then the gradient of the line is (q - s)/(p - r).Then using the point-and-gradient form of the equation:y - s = [(q - s)/(p - r)]*(x - r)Then simplify and rearrange to the required form.The second case is where the table is based on observations for two variables which are linearly related. However, due to random variations or measurement errors (or rounding), the scatter plot for the data is nearly - but not quite a straight line. You will then need to use statistical techniques to obtain the equation. The best known is the method of least squares. However, this site does not support the mathematical symbols to illustrate the procedure.


What is the best answer between the difference of a linear and non- linear scale?

You can measure things with a linear scale. Practically impossible with a non-linear scale.


When is it best to solve a systems of linear equations using elimination?

Elimination is particularly easy when one of the coefficients is one, or the equation can be divided by a number to reduce a coefficient to one. This makes substitution and elimination more trivial.

Related questions

Can you make a linear equation from a nonlinear table?

Using the line of best fit, yes.


Is the regression equation a mathematical equation that defines the relationship between two variables?

No. It is an estimated equation that defines the best linear relationship between two variables (or their transforms). If the two variables, x and y were the coordinates of a circle, for example, any method for calculating the regression equation would fail hopelessly.


What best describes a linear function?

A linear function is a function, or equation, that when graphed, will form a straight line.


How relevant is linear equation to a firm?

The line of best fit is used to predict future decisions.


What equation best describes the table of ordered pairs?

This kind of question usually accompanies a specific table of ordered pairs. The idea is that the ordered pairs take the form of (x, f(x)) where the first number of the ordered pair x, is a value of the variable for some equation. When that value is used in place of the variable in the equation, we can calculate a specific value. That calculated value appears as the second value of the ordered pair and is represented by f(x) above. Typically the equation is relatively simple, such as a linear equation or a quadratic equation. Therefore, in order to determine the equation, we have to know exactly what the ordered pairs are.


How do you solve a linear eqution when there are two letter on the same side?

You cannot solve a single linear equation with two variables. At best you can express one variable in terms of the other.


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What is the answer to c equals 10n-5?

15


What best defines a trust?

be honest