See the attached figure which represents the scatter plot of the given data.
The given data in ordered pairs which are in blue color :
(0,10) , (100,20) , (200,30) , (300,40) , (400,50) and (500,60)
So, the data can be represented by a line as shown in the graph which is in red color
The general equation of the line ⇒ y = mx + c
where : m is the slope and c is constant and represents the y-intercept
Using any two different points to find the m as following
i chose (100,20) and (400,50)
∴[tex]m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{2} } = \frac{50-20}{400-100} = \frac{30}{300}= \frac{1}{10}=0.1
[/tex]
And as shown in the figure the y-intercept is equal to 10
∴ c = 10
( note: c also, can be calculated by substitute with x = 0 at the equation of y)
∴ y = mx + c
∴ y = 0.1 x + 10
So, the function which best represents the data in the scatter plot is
y = 0.1 x + 10
