The correlation between Miles per Gallon (MPG) and Vehicle Weight (WEIGHT) is approximately -0.807. This indicates a strong negative correlation, meaning that as the weight of the vehicle increases, the miles per gallon tend to decrease.

The p-value associated with this correlation is extremely low (1.29e-92), suggesting that the correlation is statistically significant.

Let's perform a linear regression analysis to further explore the relationship between these two variables.

The linear regression analysis between Vehicle Weight (WEIGHT) and Miles per Gallon (MPG) provides the following equation:

This equation indicates that for every additional pound of vehicle weight, the miles per gallon decrease by approximately 0.0074. The intercept of 45.49 suggests that a vehicle with zero weight would theoretically have an MPG of 45.49, which is not practically possible but serves as a baseline for the regression line.

These findings are consistent with the expectation that heavier vehicles tend to be less fuel-efficient.