
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
Among the following statements: ① The larger the value of the chi-square ($k^2$) for categorical variables A and B, the higher the credibility that "A is related to B". ② When fitting a set of data with the model $y=ce^{kx}$, to derive the regression equation, set $z=\ln y$, after transforming it, we get the linear equation $z=0.3x+4$, then the values of $c$ and $k$ are $e^4$ and $0.3$ respectively. ③ For the regression line equation $y=a+bx$ derived from statistical data of two variables with a linear relationship, where $b=2$, $\overset{ .}{x}=1$, $\overset{ .}{y}=3$, then $a=1$. The correct statements are \_\_\_\_\_\_ .

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