1. **Stating the problem:** We are given a set of points $(x_1, y_1)$ from years 2014 to 2024 with corresponding values and asked if these points can be modeled by a quadratic function. 2. **Formula and concept:** A quadratic function has the form $$y = ax^2 + bx + c$$ where $a$, $b$, and $c$ are constants. To check if data fits a quadratic, we can try to fit a parabola or check if the second differences of $y$ values are constant. 3. **Calculate first differences:** $$\Delta y = y_{n+1} - y_n$$ For the given $y_1$ values: $$244, 264, 278, 275, 248, 236, 270, 301, 283, 265, 250$$ First differences: $$264-244=20, 278-264=14, 275-278=-3, 248-275=-27, 236-248=-12, 270-236=34, 301-270=31, 283-301=-18, 265-283=-18, 250-265=-15$$ 4. **Calculate second differences:** $$\Delta^2 y = \Delta y_{n+1} - \Delta y_n$$ Second differences: $$14-20=-6, -3-14=-17, -27-(-3)=-24, -12-(-27)=15, 34-(-12)=46, 31-34=-3, -18-31=-49, -18-(-18)=0, -15-(-18)=3$$ 5. **Interpretation:** For a perfect quadratic, second differences should be constant. Here, second differences vary widely. 6. **Conclusion:** The data does not follow a quadratic pattern because the second differences are not constant. Final answer: The data does not make a quadratic function.