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

write a power regression equation for the following data, rounding all coefficients to the nearest tenth.\n|$x$|$y$|\n|----|----|\n|2|5938|\n|4|7678|\n|8|10648|\n|11|11625|\n|15|13560|\n|16|13778|\n|18|13871|\ncopy values for calculator\nopen statistics calculator

write a power regression equation for the following data, rounding all coefficients to the nearest tenth.\n|$x$|$y$|\n|----|----|\n|2|5938|\n|4|7678|\n|8|10648|\n|11|11625|\n|15|13560|\n|16|13778|\n|18|13871|\ncopy values for calculator\nopen statistics calculator

Answer

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:

$y = 3885.4x^{0.3}$