What is the quadratic regression equation for the data set?

data set down below

x y

50 10
30 11
11 5
35 9
50 12
20 3
90 7

answers down below

a. y=−0.004x^2−0.415x−0.546

b. y=0.004x^2+0.415x+0.546

c. y=−0.004x^2−0.415x+0.546

d. y=−0.004x^2+0.415x−0.546

(note: one of the answers is the listed equations, not a pair from the data set.)

Option: D is the correct answer.

        D.            

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:

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