
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
To study the relationship between the height $x$ (unit: cm) and weight $y$ (unit: kg) of female students in Class 1 of Grade 12, $10$ female students were randomly selected from the class. Based on the scatter plot of the measurement data, it can be seen that there is a linear relationship between $y$ and $x$. Assume that the regression line equation is $\hat{y}=\hat{b}x+\hat{a}$. It is known that $\sum_{i=1}^{10}{{x_i}}=1600$, $\sum_{i=1}^{10}{{y_i}}=460$, and $\hat{b}=0.85$. If the height of a female student in the class is $170$ cm, estimate her weight to be ____ kg.

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