Answer:
Linear model
[tex]f(x)=1.3x+9.2[/tex]
Age Height Predicted Residual
1 9 10.5 -1.5
2 12 11.8 0.2
3 14 13.1 0.9
4 15 14.4 0.6
5 17 15.7 1.3
6 18 17 1.0
7 19 18.3 0.7
8 19 19.6 -0.6
9 21 20.9 0.1
Quadratic model
[tex]f(x)=-0.11688x^2+2.5355x+7.0238[/tex]
Age Height Predicted Residual
1 9 9.44 -0.4
2 12 11.63 0.4
3 14 13.58 0.4
4 15 15.30 -0.3
5 17 16.78 0.2
6 18 18.03 0.0
7 19 19.05 0.0
8 19 19.83 -0.8
9 21 20.38 0.6
Step-by-step explanation:
The scatter plot is adjusted by a linear and a quadratic model.
We have to calculate the predicted value and residual for each point.
To calculate the predicted value we use the regression equation that is presented.
To calculate the residual we calculate the difference between the real value and the predicted value.