An ornithologist models wingbeat frequency $f\,$ in beats per minute using body mass $m\,$ grams. The correlation coefficient between $m\,$ and $f\,$ is -0.878, while that between $\ln m\,$ and $\ln f\,$ is -0.992. The fitted regression line is $ln⁡f=4.70−0.330ln⁡m\ln f=4.70-0.330\ln m$ .

Explain why a power model is preferable to a linear model for these data.

Find the power model for $f\,$ in terms of $m$ , giving the multiplicative constant to 3 significant figures.

Use the model to estimate $f\,$ when $m = 25$ .

Explain why a power model is preferable to a linear model for these data.

Find the power model for $f\,$ in terms of $m$ , giving the multiplicative constant to 3 significant figures.

Use the model to estimate $f\,$ when $m = 25$ .

2 Statistics

Question 58

Markscheme

2 Statistics

Question 58

Markscheme

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Question 58

2 Statistics Questions

2 Statistics

Question 58

2 Statistics Questions