Math  /  Data & Statistics

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The table below shows the height of a ball yy (in feet) at different times xx (in seconds) after it was thrown into the air. Use the data in the table to answer the questions. \begin{tabular}{|c|c|} \hline Time & Height \\ \hline 0 & 4 \\ \hline 1 & 18 \\ \hline 2 & 24 \\ \hline 3 & 22 \\ \hline \end{tabular}
What model best fits this data
y=4x2+18x+4y=-4 x^{2}+18 x+4 y=3x2+12x+4y=-3 x^{2}+12 x+4 y=3x2+18x+4y=-3 x^{2}+18 x+4 y=4x2+12x+4y=-4 x^{2}+12 x+4

Studdy Solution
Compare the calculated values with the actual data:
- Actual data: (0,4),(1,18),(2,24),(3,22) (0, 4), (1, 18), (2, 24), (3, 22) - Model y=4x2+18x+4 y = -4x^2 + 18x + 4 matches all data points exactly.
The model that best fits the data is:
y=4x2+18x+4 y = -4x^2 + 18x + 4

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