Final answer:
In a scatterplot of the average price of a barrel of oil and the average retail price of a gallon of gas, we would expect to see a positive correlation between the two variables. As the price of oil increases, the price of gas also increases, impacting fuel efficiency and weight.
Step-by-step explanation:
In a scatterplot of the average price of a barrel of oil and the average retail price of a gallon of gas, we would expect to see a positive correlation between the two variables. This means that as the average price of a barrel of oil increases, we would expect the average retail price of a gallon of gas to also increase.
To determine if the correlation is significant, we can look at the correlation coefficient, usually denoted as 'r'. If the correlation coefficient is between 0 and 1, it indicates a positive correlation. In this case, the correlation coefficient will help us determine the strength of the correlation.
In terms of weight and fuel efficiency, a positive correlation between the average price of a barrel of oil and the average retail price of a gallon of gas means that as the price of oil increases, the price of gas also increases. This can make driving more expensive and may incentivize people to look for more fuel-efficient options.