The quadratic regression equation that fits these data is [tex]\rm y=2.13x^2+0.13x+6.39[/tex].
What is the quadratic regression equation?
A quadratic regression is the process of finding the equation of the parabola that best fits a set of data.
The quadratic regression equation that fits these data is;
[tex]\rm y=2.13x^2+0.13x+6.39[/tex]
Check for the values of x and y;
When the value of x = -4 the value of y is;
[tex]\rm y=2.13x^2+0.13x+6.39\\\\x=-4\\\\\rm y=2.13(-4)^2+0.13(-4)+6.39\\\\y=34.13-0.52+6.39\\\\y=40[/tex]
Hence, the quadratic regression equation that fits these data is [tex]\rm y=2.13x^2+0.13x+6.39[/tex].
Learn more about quadratic equation here;
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