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Is there a linear relationship in the table?

$x$	$y$
$11$	$208$
$13$	$210$
$15$	$214$
$17$	$220$

Solution

The rate of change between the first two points is $\frac{210-208}{13-11}=1\text{.}$ The rate of change between the last two points is $\frac{220-214}{17-15}=3\text{.}$ This is one way to demonstrate that the rate of change differs for different pairs of points, so this pattern is not linear.