QUESTION IMAGE
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. explain why it isnt correct to say that the correlation is 0.87 mg/cal. it is not correct to say that the correlation is 0.87 mg/cal because correlation is unitless. it is not correct to say that the correlation is 0.87 mg/cal because 0.87 is the wrong value for correlation. it is not correct to say that the correlation is 0.87 mg/cal because correlation is a probability. it is not correct to say that the correlation is 0.87 mg/cal because correlation is a percentile. it is not correct to say that the correlation is 0.87 mg/cal because correlation is a z - score.
Correlation measures the strength and direction of a linear relationship between two variables. It is calculated in such a way that the units of the original variables cancel out, making it a unit - less quantity. So, it cannot have units like mg/cal.
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It is not correct to say that the correlation is 0.87 mg/cal because correlation is unitless.