Question

are hot dogs that are high in calories also high in salt? the following scatterplot shows the calories and salt content (measured in milligrams of sodium) in 17 brands of meat hot dogs. the correlation for these data is r = 0.87. interpret this value.
the correlation of 0.87 indicates that the linear relationship between amount of sodium and number of calories is strong and positive.
the correlation of 0.87 indicates that the relationship between amount of sodium and number of calories is strong and negative.
the correlation of 0.87 indicates that the relationship between amount of sodium and number of calories is nonlinear.
the correlation of 0.87 indicates that the linear relationship between amount of sodium and number of calories is weak and positive.
the correlation of 0.87 indicates that the data set contains an outlier.

Explanation:

The correlation coefficient \(r\) ranges from - 1 to 1. A value close to 1 indicates a strong positive linear relationship, a value close to - 1 indicates a strong negative linear relationship, and a value close to 0 indicates a weak linear relationship. Here, \(r = 0.87\) which is close to 1, so it represents a strong positive linear relationship between the amount of sodium and the number of calories.

Answer:

The correlation of 0.87 indicates that the linear relationship between amount of sodium and number of calories is strong and positive.