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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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