
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]


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A certain company is a comprehensive technology innovation enterprise that specializes in the research, development, manufacturing, and technical services of drone special equipment. Its products are mainly used in forest firefighting, logistics transportation, aerial surveying, military reconnaissance, and other fields, receiving unanimous praise from the market and the general audience. The company produces two types of drones, Type A and Type B, both of which have excellent performance but require very skilled operation to maximize their effectiveness. The company has collected data on a certain indicator $x_{i}$ and $y_{i}$ of Type A and Type B drones tested at 5 different locations, as shown in the table below:

|          | Location 1 | Location 2 | Location 3 | Location 4 | Location 5 |
|----------|------------|------------|------------|------------|------------|
| Type A   | 2          | 4          | 5          | 6          | 8          |
| Type B   | 3          | 4          | 4          | 4          | 5          |

$(1)$ Find the correlation coefficient $r$ between $y$ and $x$, and use $r$ to determine whether $y$ and $x$ have a strong linear relationship. (If $|r| > 0.75$, the linear correlation is very high)<br/>$(2)$ From these 5 locations, randomly select 2 locations and calculate the probability that the indicator of Type A drones is higher than that of Type B drones at both selected locations.<br/>Attachment: Formulas and data: $r=\frac{{\sum_{i=1}^{n}{({x}_{i}-\overline{x})({y}_{i}-\overline{y})}}}{\sqrt{\sum_{i=1}^{n}{{({x}_{i}-\overline{x})}^{2}}}\sqrt{{\sum_{i=1}^{n}{{({y}_{i}-\overline{y})}^{2}}}}}$, $\sqrt{0.9}≈0.95$.

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