
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 random variable $K^{2}$ for categorical variables $A$ and $B$, the higher the credibility of "A is related to B"; \\
(2) When fitting a set of data with the model $y=ce^{kx}$, to derive the regression equation, set $z=\ln y$, transforming it into 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 $\hat{y}=\hat{b}x+\hat{a}$ derived from statistical data of two variables with a linear relationship, where $\hat{b}=2$, $\overline{x}=1$, $\overline{y}=3$, then $\hat{a}=1$. \\
The correct number of statements is \_\_\_\_\_\_\_\_.

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