Question

When is it appropriate to model data with a linear function Given a example of world data that can be modeled with a linear function include the linear function and a sample of the data.

Answer 1

Step-1:Explanation:

A linear function is of the form $y=mx+c$

Where $y$ is dependent on $x$ and $x$ is an independent variable.

Now it is appropriate to model the given data with linear function when every y value is sum of multiple of independent variable and the y-intercept.

Step-2: Give example of data and linear function:

We first given the sample of data

$x$	$y$
$-2$	$-5$
$-1$	$-3$
$0$	$-1$
$1$	$1$
$2$	$3$
$3$	$5$

The corresponding linear function is $y=2x-1$.

The graph of the linear function can be given as follows:

Hence, it is appropriate to model the given data with linear function when every $y$ value is sum of multiple of independent variable and the y-intercept.