A biology student does a study to investigate the association between the amount of sunlight and the number of roses on a rosebush in one summer.(The $R2\mathrm { R } ^ { 2 }$ value is 58%) He claims that the amount of sunlight determines 58% of the number of roses on a rosebush in one summer.

A) The $R2\mathrm { R } ^ { 2 }$ has to be greater than 90% to make a statement like this.
B) The amount of sunlight accounts for 58% of the variation in the number of roses.It does not determine the number of roses.
C) The amount of sunlight will increase the number of roses 58% of the time.
D) The amount of variation in sunlight changes 58% of the time.This tells us nothing about the number of roses.
E) There is nothing wrong with the interpretation.

Question

A biology student does a study to investigate the association between the amount of sunlight and the number of roses on a rosebush in one summer.(The

R2\mathrm { R } ^ { 2 }

value is 58%) He claims that the amount of sunlight determines 58% of the number of roses on a rosebush in one summer.

A) The

R2\mathrm { R } ^ { 2 }

has to be greater than 90% to make a statement like this.
B) The amount of sunlight accounts for 58% of the variation in the number of roses.It does not determine the number of roses.
C) The amount of sunlight will increase the number of roses 58% of the time.
D) The amount of variation in sunlight changes 58% of the time.This tells us nothing about the number of roses.
E) There is nothing wrong with the interpretation.

Ngornly Hangming · Accepted Answer

Final Answer : B, Explanation :  The statement the amount of sunlight determines 58% of the number of roses on a rosebush in one summer is incorrect. It implies causation, which cannot be determined from correlational data. The correct interpretation is that the amount of sunlight accounts for 58% of the variation in the number of roses, meaning that 58% of the variability in the number of roses can be explained by the amount of sunlight.

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