Question

the number of grams of zero - calorie sodium in a restaurant meal is compared to the total number of calories in the meal. the correlation coefficient relating the two variables is 0.74. which best describes the strength of the correlation, and what is true about the causation between sodium and the number of calories in this meal? it is a weak positive correlation, and it is not likely causal. it is a weak positive correlation, and it is likely causal. it is a strong positive correlation, and it is not likely causal. it is a strong positive correlation, and it is likely causal.

Explanation:

Step1: Understand correlation coefficient strength

A correlation coefficient \(r\) value of \(0.74\) is closer to \(1\) than \(0\). Generally, \(|r|\) values: \(0 - 0.3\) (weak), \(0.3 - 0.7\) (moderate), \(0.7 - 1\) (strong). Since \(r = 0.74>0.7\), it is a strong positive correlation.

Step2: Analyze causation

Correlation does not imply causation. Just because there is a correlation between sodium grams and calories does not mean one causes the other. There could be other factors (e.g., type of cuisine, preparation methods) that influence both sodium content and calorie count.

Answer:

It is a strong positive correlation, and it is not likely causal.