What is the quadratic regression equation that fits these data?

number of seconds height (in feet)

0

11

1

13

2

13

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

          .... (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.

Therefore, the quadratic regression equation that fits the data is .

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)