
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
In order to balance educational resources and increase investment in education in remote areas, a survey was conducted on the annual income $x$ (in ten thousand yuan) and annual educational expenditure $y$ (in ten thousand yuan) of several households in a certain area. The survey showed that there is a linear relationship between the annual income $x$ and the annual educational expenditure $y$. The regression line equation of $y$ on $x$ obtained from the survey data is: $y=0.15x+0.2$. According to the regression line equation, for every increase of 10,000 yuan in family annual income, the average increase in annual educational expenditure is     yuan.

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