Asked by Kymnyque Ricks on Jul 17, 2024
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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 }R2 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 }R2 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.
Variation
The measure of dispersion within a data set, indicating how much individual data points differ from the mean.
Sunlight
Natural light emitted by the sun, crucial for plant photosynthesis and providing warmth and visibility for humans.
Roses
Flowering plants notable for their fragrant blooms, consisting of many species and cultivated in a variety of colors.
- Interpret the \(R^2\) value correctly in the context of regression analysis.
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Learning Objectives
- Interpret the \(R^2\) value correctly in the context of regression analysis.
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