Question

What is the quadratic regression equation that fits these data?

Answer 1

Answer:

$y=-x^2+3x+11$

Step-by-step 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

$y=ax^2+bx+c$           .... (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.

$y=(-1)x^2+(3)x+(11)$

$y=-x^2+3x+11$

Therefore, the quadratic regression equation that fits the data is $y=-x^2+3x+11$.