A student wonders if people with similar heights tend to date each other. She me
ID: 3295373 • Letter: A
Question
A student wonders if people with similar heights tend to date each other. She measures herself, her dormitory roommate, and the women in the adjoining rooms: then she measures the next man each woman dates. Here are the pairs of data (heights in inches). Which statement is TRUE? a. There is a strong positive correlation between the heights of men and women because the women are always smaller than the men they date. b. There is a positive correlation between the heights of men and women. c. The variables measured are all categorical. d. Correlation makes no sense here because gender is a categorical variable. Which statement is FALSE? a. A researcher finds the correlation between two variables is close to 0, so the two variables must be unrelated. b. Taller people tend to be heavier than shorter people, so the correlation between "height" and "weight" must be positive. c. Older children tend to be taller than younger children. Hence, the correlation between "age" and "height" in children must be positive. d. Older men tend to have lower muscle density. Hence, the correlation between "age" and "muscle density" in older men must be negative.Explanation / Answer
Q3) Answer : Option (a)
There is a strong positive correlation between the highte of men and women beause the women are always smaller than the men they date.
for given data scatter plot showed that strong positive correlation between hights of men and women
Q4) Answer : Option (a)
A researcher finds the correlation between two variables ie close to zero so the two variables must be unrelated
For the given data we found that corelation r is close to 1 (0.913)
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