Which of the following statements is incorrect? Two variables are negatively ass
ID: 2924863 • Letter: W
Question
Which of the following statements is incorrect?
Two variables are negatively associated when above-average values of one tend to accompany below-average values of the other, and vice versa
An outlier is an individual value that falls outside the overall pattern of the relationship
The correlation would change if we measured height in inches, versus centimeters, when correlating height and weight.
The correlation r is always a number between -1.0 and 1.0
Two variables are negatively associated when above-average values of one tend to accompany below-average values of the other, and vice versa
An outlier is an individual value that falls outside the overall pattern of the relationship
The correlation would change if we measured height in inches, versus centimeters, when correlating height and weight.
The correlation r is always a number between -1.0 and 1.0
Explanation / Answer
Correlation is a unitless quantity and therefore it does not gets affected by the change in units from from centimeters to inches. Also correlation coefficient always lies in the range from -1 to 1 where +1 means perfect positive correlation and -1 means perfect negative correlation. Therefore the last 2 are correct statements. Also an outlier is a quantity that is different from the other quantities in terms of a pattern in the data. Therefore the second statement is also correct.
Now for 2 variables to be negatively associated it does not mean that when above-average values of one tend to accompany below-average values of the other, and vice versa. It only means that when the value of one variable increases, then other variable value decreases and vice versa.
Therefore a) is the correct answer here as it is the incorrect statement.
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