MATHEMATICS · Single correct · A Level · Mathematics · Data presentation and interpretation · Data presentation and interpretation
Problem
For a certain population, two regressions are performed.
• Regression of P on t: R2=0.852.
• Regression of lnP on t: R2=0.994.
Which conclusion is most strongly supported by these statistics?
(a) A linear model is preferable because it avoids the need to transform the data.
(b) Neither model is adequate; their R2 values are both too far from 1 to indicate a good fit.
(c) An exponential model provides a significantly better fit to the data than a linear model.
(d) The data show essentially no correlation between population and time.