Question

consider the data set shown in the table.

x	0	1	2	3	4	5	6	7	8	9	10
y	1.5	2.2	2.7	2.6	3.5	3.8	4.0	3.4	3.2	2.9	2.8

use an online graphing tool to find the quadratic equation that models the data in this table. for help, see this worked example.

type the correct answer in each box. use numerals instead of words. round your answers to the nearest hundredth.

the quadratic equation that models the data in this table is y = x² + x +

Explanation:

Step1: Use regression tool

Use an online graphing - tool like Desmos regression feature. Input the given $(x,y)$ data points.

Step2: Obtain quadratic coefficients

The tool will calculate the coefficients of the quadratic equation $y = ax^{2}+bx + c$.

Answer:

$y=-0.05x^{2}+0.44x + 1.60$