Questions: Suppose that eleven adolescent mice are weighed, in grams, and their corresponding relative fitness is determined, with the results shown in the table below. a) Plot the data in Desmos and run a linear regression. Write the linear selection function in the form (w(z)=alpha+beta z), along with the correlation coefficient (r). b) What is an approximate meaningful domain for the function in part (a)? Why? Weight (grams) Relative fitness 4.7 0.26 8.6 0.62 10.2 0.78 5 0.32 4.6 0.28 6.9 0.51 11.5 0.71 5.9 0.52 7 0.5 13.1 0.74 8.2 0.75

Transcript text: 2. Suppose that eleven adolescent mice are weighed, in grams, and their corresponding relative fitness is determined, with the results shown in the table below. a) Plot the data in Desmos and run a linear regression. Write the linear selection function in the form $w(z)=\alpha+\beta z$, along with the correlation coefficient $r$. b) What is an approximate meaningful domain for the function in part (a)? Why? \begin{tabular}{|l|l|} \hline Weight (grams) & Relative fitness \\ \hline 4.7 & 0.26 \\ \hline 8.6 & 0.62 \\ \hline 10.2 & 0.78 \\ \hline 5 & 0.32 \\ \hline 4.6 & 0.28 \\ \hline 6.9 & 0.51 \\ \hline 11.5 & 0.71 \\ \hline 5.9 & 0.52 \\ \hline 7 & 0.5 \\ \hline 13.1 & 0.74 \\ \hline 8.2 & 0.75 \\ \hline \end{tabular}