Question

Baseball The table shows the height of a baseball hit, with

x representing the time (in seconds) and y representing
the baseball's height (in feet). Use a graphing calculator
to find the best-fitting model for the data.
Time, x
2 4 6 8
0
Helght, y 3 28 40 37 26
Oy 1.553x² +15.1782 -3.37
Oy -1.553x² - 15.178x + 3.37
Oy = -1.553x² +15.178x + 3.37
Oy 1.553x² +15.178x + 3.37

Answer 1

Answer: The best-fitting model for the data is a parabolic equation with the form y = ax^2 + bx + c. The coefficients a, b, and c represent the parameters that best describe the relationship between the time (x) and the height (y) of the baseball.

Based on the information provided, the best-fitting model is:

y = 1.553x^2 + 15.178x + 3.37

where y is the height of the baseball (in feet), x is the time (in seconds), 1.553 is the coefficient for x^2, 15.178 is the coefficient for x, and 3.37 is the constant term. This equation represents the best fit of the data to a parabolic function.

Explanation: