
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A survey was conducted on the annual income ($x$, in ten thousand yuan) and annual food expenditure ($y$, in ten thousand yuan) of several households in a certain area. The survey shows that there is a linear relationship between annual income $x$ and annual food expenditure $y$, and the regression line equation of $y$ on $x$ is obtained as $ \hat{y}=0.254x+0.321$. According to the regression line equation, for every increase of 10,000 yuan in family annual income, the average annual food expenditure increases by _______ ten thousand yuan.

Present the answer in LaTex format: \boxed{Your answer}
user