Intrigued by a 2013 study at the University of Nebraska, which suggested that ma

Question

Intrigued by a 2013 study at the University of Nebraska, which suggested that marijuana smokers may be thinner than other adults, a group of students did a project to explore the relationship between body mass index (BMI) and amount of time spent under the influence of marijuana (measured in hours per week). Based on a random sample of 33 students at their university, they used BMI as the explanatory variable. The equation of the least-squares regression line is: Hours per month under influence = 492 - 1. 15 BMI Also, r^2 = 0.134 Which of the following would be a valid conclusion to draw from the study? Smoking more frequently can lead to a decrease in BMI. There is a weak negative relationship between hours per month under the influence and BMI There is a strong association but the pattern is nonlinear. None of the choices are correct

Explanation / Answer

Since there is a negative relationship between the BMI and hours per month under influence , we cannot assume this the other way round. I.e we cannot say that smoking more frequently can lead to decrease in BMI because BMI is the independent variable here. Also, C is no correct because the relationship is not very strong because our R2 is not high. Thus option B is correct

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