Which of the following types of information is most likely to display no trend on a scatterplot?
A. relationship between age and number of books read in a year
B. relationship between height and foot length
C. relationship between calories consumed and body weight
D. relationship between height and hair color
D. relationship between height and hair color
Bot is correct it's D
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To determine which type of information is most likely to display no trend on a scatterplot, we need to consider whether there is a logical connection between the two variables being plotted.
Option A: The relationship between age and number of books read in a year could potentially display a trend. It is reasonable to assume that as people get older, they may have more time and inclination to read, therefore showing a positive trend.
Option B: The relationship between height and foot length could also display a trend. It is logical to assume that taller individuals might have longer feet, resulting in a positive trend.
Option C: The relationship between calories consumed and body weight is likely to display a trend. The more calories a person consumes, the higher their body weight is expected to be, leading to a positive trend.
Option D: The relationship between height and hair color does not have a logical connection, and there is no reason to assume that hair color would have any influence on height. Therefore, this option is the most likely to display no trend on a scatterplot.
In summary, the answer is option D - the relationship between height and hair color is most likely to display no trend on a scatterplot.