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Given the data set $(-1.1,-9.1),(0.05,-9.02),(1.05,-10.9),(1.95,14.9) (2.9, 1 46),$ find the quartic of best fit.

Algebra

Chapter 1

Functions and their Applications

Section 8

Regression

Functions

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

03:18

In Exercises $89-92$ , fin…

all right. Using the data that's been given to us here in X Y coordinates. We want to find the cortex function that best fits it. In doing this, you'll want to plug each of these X and Y coordinates into your stat edit function on your graphing calculator and then going to your stack calculations option and choosing cortical function by doing that calculator will likely give you a function where y is equal to 0.99 x to the fourth plus 9.17 x cubed minus 18 0.96 x squared plus 7.15 x minus 9.33 And looking at the are square that it gives us. It actually gives us an R squared equal to one, meaning that this function perfectly fits the data that was given to us. So it really can't get any better than this. Um, it's actually a very unusual with any sort of economic data, you will probably never see a 100% fit when working with true data. Um, but for this particular data set that's been given to us, this is exactly the cortex function that we should be using to describe it

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