What is the quadratic regression equation for the data set?

yˆ=−0.004x2+0.415x−0.546

yˆ=−0.004x2−0.415x−0.546

yˆ=0.004x2+0.415x+0.546

yˆ=−0.004x2−0.415x+0.546
x y
50 10
30 11
11 5
35 9
50 12
20 3
90 7

The correct answer is y=-0.004x^2+0.415x-0.546

Step-by-step explanation:

Fiddling on Desmos Graphing Calculator got me the answer.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.