
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
Through investigation, it was found that the annual income \\(x\\) (in ten thousand yuan) and annual food expenditure \\(y\\) (in ten thousand yuan) of several households in a certain area have a linear relationship. The regression line equation of \\(y\\) with respect to \\(x\\) is: \\(\hat{y}=0.245x+0.321\\). According to the regression line equation, for every increase of 1 ten thousand yuan in annual income, the average increase in annual food expenditure is \_\_\_\_\_\_\_\_ ten thousand yuan.

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