Question

write a power regression equation for the following data, rounding all coefficients to the nearest tenth.

$x$	$y$
4	7678
8	10648
11	11625
15	13560
16	13778
18	13871

copy values for calculator
open statistics calculator

Explanation:

Step1: Use a calculator with power - regression function

Most scientific calculators or statistical software (like TI - 84 Plus, Excel, etc.) have a power - regression feature. Input the given $x$ and $y$ values into the calculator's statistics editor.

Step2: Perform power - regression

After inputting the data, run the power - regression analysis. The general form of a power regression equation is $y = ax^{b}$.

Step3: Round the coefficients

The calculator will give values for $a$ and $b$. Round these values to the nearest tenth.

Using a statistical calculator or software to perform power - regression on the given data:
The power regression equation is $y = 3885.4x^{0.3}$

Answer:

$y = 3885.4x^{0.3}$