Question

write a quadratic regression equation for the following data, rounding all coefficients to the nearest hundredth.

x\ty
10\t358
11\t420
13\t556
16\t649
21\t722
25\t610

copy values for calculator
open statistics calculator

Explanation:

Step1: Recall quadratic regression form

A quadratic regression equation has the form:
$$y = ax^2 + bx + c$$
where $a$, $b$, and $c$ are coefficients calculated using the given data points.

Step2: Input data to regression tool

Use the data points $(10, 358), (11, 420), (13, 556), (16, 649), (21, 722), (25, 610)$ in a quadratic regression calculator to solve for $a$, $b$, $c$.

Step3: Round coefficients to hundredths

After calculation, the coefficients are:
$a \approx -1.98$, $b \approx 89.09$, $c \approx -463.33$

Answer:

$y = -1.98x^2 + 89.09x - 463.33$