The table below gives the fish population of a small lake. Use the information to answer the following questions and round each answer to two decimal places.

  1. Use a graphing calculator to fit a regression line to the data and write the linear linear model here.
  2. Use the linear regression line to predict the value of the function at LaTeX: \displaystyle x=10 .
  3. Find the correlation coefficient, LaTeX: \displaystyle r and use it to determine if the line a good fit and explain the solution to part (b).

  1. LaTeX: \displaystyle y=828.9 x + 3827.07
  2. Evaluating at LaTeX: \displaystyle x=10 gives LaTeX: \displaystyle \approx 12116
  3. The LaTeX: \displaystyle r value is LaTeX: \displaystyle 0.95 . The line is a good fit.