
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 a scatter plot of a sample data set $\left( {{x}\_{1}},{{y}\_{1}} \right),\left( {{x}\_{2}},{{y}\_{2}} \right), \cdots ,\left( {{x}\_{n}},{{y}\_{n}} \right) (n\geqslant 2,{{x}\_{1}},{{x}\_{2}}, \cdots ,{{x}\_{n}} \text{ are not all equal})$, if all sample points $\left( {{x}\_{i}},{{y}\_{i}} \right)\left( i=1,2,\cdots ,n \right)$ lie on the line $y=-\dfrac{1}{2}x+1$, calculate the sample correlation coefficient of this data set.

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