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maria [59]
1 year ago
9

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.
PLEASE HELP ME

Mathematics
1 answer:
Delvig [45]1 year ago
7 0

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

<h3>The linear model of the data</h3>

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)

<h3>The quadratic model of the data</h3>

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)

<h3>Why both graphs look the same</h3>

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:

brainly.com/question/7656407

#SPJ1

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