
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
According to a statistical report from a certain city, with the continuous deepening of economic and trade cooperation under the "Belt and Road" initiative, the city's foreign trade has been prosperous in recent years. A set of data on the total import amount $x$ (in units of billion yuan) and export amount $y$ (in units of billion yuan) from $2017$ to $2020$ is as follows:

|         | 2017     | 2018     | 2019     | 2020     |
|---------|----------|----------|----------|----------|
| $x$     | $1.8$    | $2.2$    | $2.6$    | $3.0$    |
| $y$     | $2.0$    | $2.8$    | $3.2$    | $4.0$    |

If the total import and export amount each year, $x$ and $y$, satisfy a linear correlation $\hat{y} = \hat{b}x - 0.84$, then $\hat{b} = $______. If the plan is to achieve an export total of $6$ billion yuan in $2022$, the estimated import total for that year is approximately ______ billion yuan.

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