Question

Scientists believe there is a link between ambient temperature and damage to a head gasket on a car. Using the provided information, draw a scatter plot of the data. Based on the data, make a probabilistic inference about if you should take your truck on a road trip to an area that has very low temperatures predicted for the time you will be there. (1 point) Responses I would recommend that he goes as lower temperatures have a strong positive correlation, therefore the lower the temperature the less damage is caused. I would recommend that he goes as lower temperatures have a strong positive correlation, therefore the lower the temperature the less damage is caused. I would recommend that he does NOT go as higher temperatures have a strong positive correlation, therefore the higher the temperature the more damage is caused. I would recommend that he does NOT go as higher temperatures have a strong positive correlation, therefore the higher the temperature the more damage is caused. I would recommend that he goes, as there were many more temperatures with no damage than with damage. I would recommend that he goes, as there were many more temperatures with no damage than with damage. I would recommend that he does NOT go as lower temperatures have a strong negative correlation, therefore the lower the temperature the more damage is caused. I would recommend that he does NOT go as lower temperatures have a strong negative correlation, therefore the lower the temperature the more damage is caused.


To help the highest temperature has a lower damage index. At 21.

Answer 1

To draw a scatter plot and make an inference based on the given data, we first need to understand the relationship between ambient temperature and head gasket damage.

### Key Points:
1. **Correlation**: It appears that lower temperatures correlate with more damage to the head gasket, while higher temperatures correlate with less damage.
2. **Implication**: If higher temperatures lead to lower damage, and lower temperatures lead to higher damage, this indicates there is a negative correlation between temperature and damage.

### Scatter Plot Interpretation:
- The scatter plot would display ambient temperatures on the x-axis and the damage index on the y-axis.
- If the points trend downward as you move from left (low temperature) to right (high temperature), it reinforces the idea of a negative correlation.

### Probabilistic Inference for Road Trip:
Given your situation regarding a road trip to an area with very low temperatures, and the patterns noted:

- There is likely a strong negative correlation indicating that the lower the temperature, the more damage that can occur to the head gasket.
- Therefore, if the predicted temperature for your road trip is very low, it stands to reason that taking your truck might risk damaging the head gasket.

### Recommendation:
Based on the data you provided and the inferred correlation, I would recommend **that you do NOT go on the road trip, as lower temperatures have a strong negative correlation to head gasket damage, leading to a higher likelihood of damage occurring.**