Question

What is the quadratic regression equation for the data set?

Answer 1

'The quadratic regression equation for the data set is y=ax2+bx+c where a≠0 .

Step-by-step explanation:

• A quadratic regression is the process of finding the equation of the parabola that best fits a set of data.
• We get the equation manually is by using the least squares method.

Answer 2

The quadratic equation of the data set given will be y = 0.056x² + 1.278x - 0.886.

How to solve the equation

From the table given, substitute the given value for x into the equations and then check the results against tte corresponding value of y.

In this case, starting with 10, when x = 10, y = 17.48. In this case, y = 0.056x² + 1.278x

= (0.056 × 100) + (1.278 × 10)

= 18.38

On the other hand, y = 0.056x² + 1.278x - 0.886 will be:

= (0.056 × 100) + (1.278 × 10) - 0.886

= 17.48

In conclusion, the correct option is y = 0.056x² + 1.278x - 0.886.

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