Question
A prospective cohort study recorded the body weight of the adult subjects at yearly intervals. A simple linear regression analysis was performed in which the
A prospective cohort study recorded the body weight of the adult subjects at yearly intervals. A simple linear regression analysis was performed in which the dependent variable was body weight and the independent variable was age in years. The Y-intercept was 37, and the slope was 4.2. The R-squared was 0.26, and the p-value was 0.01. Which of the following is the best interpretation of these results?
A. | For each additional year of age there was a 4.2 pound increase in weight on average, and changes in age accounted for about 26% of the variability in weight. The Y-intercept is uninterpretable in this case, since the study was restricted to adults, and the Y-intercept would suggest that the average weight at birth was 37 pounds. | |
B. | Subjects generally gained 37 pounds over the 4.2 year period of observation, and this was statistically significant. | |
C. | For each additional year of age there was a 0.26 pound increase in weight on average, and the results are statistically significant. | |
D. | The results are not really interpretable, because the R-squared is very low, meaning that there are other factors that influence change in weight over time. |
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