Question

given the data set of the angle at which a baseball is hit and the distance it travels.

angle baseball is hit (degrees) | horizontal distance traveled (feet)
--- | ---
10 | 113
18 | 185
20 | 200
32 | 231
38 | 224
46 | 182
50 | 155

perform a quadratic regression on this data and fill in the equation.
y = \square x^2 + \square x + \square round your answers to the nearest thousandth.

Explanation:

Step1: Identify variables

Let $x$ = hit angle (degrees), $y$ = distance (feet)

Step2: Use quadratic regression formula

Quadratic form: $y = ax^2+bx+c$. Use statistical tool/calculator to solve for $a, b, c$ with given data points:
$(10,113), (18,185), (20,200), (32,231), (38,224), (46,182), (50,155)$

Step3: Round coefficients to 3 decimals

$a \approx -0.171$, $b \approx 10.944$, $c \approx -33.604$

Answer:

$y = -0.171x^2 + 10.944x - 33.604$