
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
Given that the variables $x$ and $y$ have a linear correlation, their regression equation is $y=-3+bx$. If $\sum_{i=1}^{10}{x}_i=17$ and $\sum_{i=1}^{10}{y}_i=4$, find the value of $b$.

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