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Use the data in the table below and a graphing calculator to describe how a linear model compares to a quadratic model. Analyze the "parameters" (as they are called in Desmos) a, b, c for the quadratic model and m & b for the linear model. Write a sentence or two that explains why both graphs look the same, even if you zoom out very far.

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Use the data in the table below and a graphing calculator to describe how a linear model compares to a quadratic model Analyze the parameters as they are called class=

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MrRoyal

The quadratic model and the linear model of the table of values are the same

The linear model of the data

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

  • Sum of X = 0
  • Sum of Y = 113
  • Mean X = 0
  • Mean Y = 22.6
  • Sum of squares (SSX) = 10
  • Sum of products (SP) = 28

The regression equation is

y = mx + b

Where

m = SP/SSX = 28/10 = 2.8

b = MY - bMX = 22.6 - (2.8*0) = 22.6

So, we have:

y = 2.8x + 22.6

See attachment for graph (1)

The quadratic model of the data

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

  • a = 0
  • b = 2.8
  • c = 22.6

0 X^2 +2.8 X +22.6

The regression equation is

y = ax^2 + bx + c

So, we have:

y = 0x^2 + 2.8x + 22.6

See attachment for graph (1)

Why both graphs look the same

The graphs look the same because when the quadratic model is simplified, it gives the linear model.

This in other words mean that:

The quadratic model and the linear model of the table of values are the same

Read more about regression at:

https://brainly.com/question/7656407

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