Answer:
[tex]\textsf{B)} \quad f(x)=1.2x^2 + 13x + 504.3[/tex]
Step-by-step explanation:
To find the quadratic equation in the form y = ax² + bx + c that models the given data, we need to use quadratic regression.
Quadratic regression is a statistical method that models the relationship between a dependent variable (y) and an independent variable (x) using a quadratic equation, allowing for the identification of a curved pattern in the data.
To find a model for the given data, input the data into a quadratic regression tool or statistical calculator.
After entering the data into a statistical calculator we get:
- a = 1.209285714
- b = 12.99857143
- c = 504.2571429
Round the values to one decimal place:
Finally, substitute the values of a, b and c into the quadratic regression formula, f(x) = ax² + bx + c:
[tex]\Large\boxed{\boxed{f(x)=1.2x^2 + 13x + 504.3}}[/tex]
Additional Notes
While it is possible to perform quadratic regression manually, the process is too complicated and lengthy to include here.
