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Given the data set $(0.0,-12.8),(2.1,-16.9),(3.01,15.1),(3.92,-0.93) (5.01, 30.5),$ find the best fit cubic.

Algebra

Chapter 1

Functions and their Applications

Section 8

Regression

Functions

Missouri State University

Harvey Mudd College

Baylor University

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

13:25

Find a cubic model for eac…

Alright, here we have a dataset given by a number of X Y coordinates and we want to find the best cubic function to fit this data. Doing this will be using our graphic calculator, using our stat functions and calculating the cubic function. Our calculator ends up giving us a cubic function where why is equal to negative 0.56 x cubed plus 2.516 x squared, minus 2.911 x minus 13.44 in this particular cubic function explains about 71% of the variation and why so It's not a bad fit, actually. So this right here we will conclude that that is our cubic function to describe the data has given.

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