Question

Which of the following quadratic regression equations best fits the data shown below? A. y=2.06x^2 + 0.18x+ 2.18 B. y= 3.48x^2 + 1.22x+3.44 C. y= 1.68x^2 + 1.06x+4.96 D. y=5.02x^2 + 3.66x+4.16

Answer 1

The first step is to substitute a value of x from the table into each equation and see if it gives us the corresponding the value of y. From the table,

For x = 0, y = 4

Substituting x = 0 into each equation, we have

A. y=2.06(0)^2 + 0.18(0)+ 2.18 = 2.18

B. y= 3.48(0)^2 + 1.22(0) +3.44 = 3.44

C. y= 1.68(0)^2 + 1.06(0) + 4.96 = 4.96

D. y=5.02(0)^2 + 3.66(0) + 4.16 = 4.16

The closest value of y to 4 is 4.16

Thus, the quadratic regression equation that best fits the data is

y = 5.02x^2 + 3.66x + 4.16