In case you're not already aware, the expression
is called the "difference quotient" and represents the average rate of change of a function
over an interval
.
For the function
, by substituting
we get

Then the difference quotient is


where the last equality holds as long as
.

Solution ~
or it can also be expressed as ~
Answer:
Analysis of variance
Step-by-step explanation:
The appropriate statistical tool for this is the analysis of variance. The analysis of variance, also known as the ANOVA, is a statistical method which has the ability to separate data from observed variance into various components which is then use for more tests.
The anova gives an analysis of the differences that are in the group means of a sample.
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0, or (0,y))

Rise is the number of units you go up(+) or down(-)
Run is the number of units you go to the right
y = -2x
This has a y-intercept of 0, so the line intersects the y-axis/goes through the origin at (0,0)
The slope is -2 or
, so from each point, you go down 2 units, and to the right 1 unit.