Answer:
Option: D is the correct answer.
    D.       [tex]y=-0.004x^+0.415x-0.546[/tex]
Step-by-step explanation:
We are given set of data points as:
      x       y
     50      10
     30      11
     11       5
     35      9
     50      12
     20      3
     90       7
By plotting all these point in a scatter plot we see that the equation that best fits the data is a curve or a parabola that opens down and attains it's maximum value and the equation as is obtained on the regression calculator is:
            [tex]y=-0.004x^2+0.415x-0.546[/tex]
Answer:
Option D - [tex]y=-0.004x^2+0.415x-0.546[/tex]
Step-by-step explanation: Â Â
Given : Data set down below.
To find : What is the quadratic regression equation for the data set?
Solution :
x      y
50 Â Â Â 10
30 Â Â Â 11 Â Â Â
11 Â Â Â Â 5 Â Â Â Â Â Â Â Â Â Â Â
35 Â Â Â 9
50 Â Â Â 12
20 Â Â Â 3
90 Â Â Â 7
Using regression calculator we plot the points of the data and find the regression equation.
Refer the attached figure below showing the regression calculation. Â Â Â
With the help of the graph the regression equation form is [tex]y=-0.0037x^2+0.4148x-0.5458[/tex]
which is approximately [tex]y=-0.004x^2+0.415x-0.546[/tex]
Therefore, Option D is correct.
