
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
In an experiment, four sets of values for the pair \\((x,y)\\) are measured as \\(A(1,2)\\), \\(B(2,3)\\), \\(C(3,5)\\), and \\(D(4,6)\\).

\\((\\)Ⅰ\\()\\) Try to find the regression line equation between \\(y\\) and \\(x\\), \\( \hat{y}=bx+a\\);

\\((\\)Ⅱ\\()\\) Use the regression line equation to predict the value of \\(y\\) when \\(x=5\\).

\\((b= \dfrac { \sum\limits_{i=1}^{n}(x_{i}- \overline {x})(y_{i}- \overline {y})}{ \sum\limits_{i=1}^{n}(x_{i}- \overline {x})^{2}}= \dfrac { \sum\limits_{i=1}^{n}x_{i}y_{i}-n \overline {x} \overline {y}}{ \sum\limits_{i=1}^{n} x_{ i }^{ 2 }-n \overline {x}^{2}},a= \overline {y}-b \overline {x})\\)

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