Answer:
![y=-x^2+3x+11](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1ozzr91b5r9i0b59zybrkeunba1q6zg0x7.png)
Explanation:
The given data table is
Number of seconds : 0 1 2
Height (in feet) : 11 13 13
We need to find quadratic regression equation that fits these data.
The general form of quadratic regression equation is
.... (1)
Using the graphing calculator we get
a = -1 , b = 3 and c=11
Substitute these values in equation (1), to find the quadratic regression equation that fits these data.
![y=(-1)x^2+(3)x+(11)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/o6rvk6zeh1m5sxrt9tzzfsbm7si9cqvv8c.png)
![y=-x^2+3x+11](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1ozzr91b5r9i0b59zybrkeunba1q6zg0x7.png)
Therefore, the quadratic regression equation that fits the data is
.