Question

are hot dogs that are high in calories also high in salt? the following scatter - plot shows the calories and salt content (measured in milligrams of sodium) in 17 brands of meat hot dogs. what effect does the hot dog brand with the smallest calorie content have on the correlation? justify your answer. the hot dog with the lowest calorie content does not change the correlation. it falls in the linear pattern of the rest of the data. the hot dog with the lowest calorie content increases the correlation. it falls in the linear pattern of the rest of the data. the hot dog with the lowest calorie content decreases the correlation. it does not fall in the linear pattern of the rest of the data. the hot dog with the lowest calorie content does not change the correlation. it does not fall in the linear pattern of the rest of the data. the hot dog with the lowest calorie content increases the correlation. it does not fall in the linear pattern of the rest of the data.

Explanation:

The correlation coefficient measures the strength and direction of a linear relationship between two variables. If a data - point falls within the linear pattern of the rest of the data, it supports the existing linear relationship and thus increases the correlation. From the scatter - plot, the hot dog with the smallest calorie content falls within the linear pattern of the other data points. So, it increases the correlation.

Answer:

The hot dog with the lowest calorie content increases the correlation. It falls in the linear pattern of the rest of the data.