Which quadratic regression equation best fits the data set?

Answer: [tex]y = 1.87x^2 -5.16 x + 10.54[/tex]Step-by-step explanation:Since the general quadratic equation is,[tex]y = ax^2 + bx+c[/tex]Here the given table is,x           1             2              3            4               5              6             7y          5.9        8.9          13.4         20.1          30.1         45.1        67.7By the graphing calculator,a = 1.87024 ≈ 1.87b= -5.15833 ≈ -5.15c = 10.5429 ≈ 10.54By putting the values of a, b and c,The required quadratic equation is,[tex]1.87 x^2 -5.15x + 10.54[/tex]⇒ First Option is correct.