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
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