Question

Which function best fits the following points?

Answer 1

Given:

The graph of a scatter plot.

To find:

The function that best fits the given points.

Solution:

From the given graph it is clear that the linear function is the best fit for the given points because the points lie on a straight line or near to it.

So, options B and C are incorrect because they represent exponential and quadratic function respectively.

Let as assume the two points on the graph are (0.80,-12.82) and (2,-12.79).

Using this two points, the equation of line is:

$y-(-12.82)=\dfrac{-12.79-(-12.82)}{2-0.80}(x-0.80)$

$y+12.82=\dfrac{-12.79+12.82}{2-0.80}(x-0.80)$

$y+12.82=0.025(x-0.80)$

$y+12.82=0.025x-0.02$

$y=0.025x-0.02-12.82$

$y=0.025x-12.84$

$y=-12.84+0.025x$

It is the approximate function to the function that is in option A.

Therefore, the correct option is A.