2.97 Least-squares regression for the log counts. Refer to Exercise 2.33 (page 99), where you analyzed the radioactive decay of barium-137m data using log counts. Here are the data:

Time 1 3 5 7
Log count 6.35957 5.75890 5.31321 4.77068
  1. (a) Using the least-squares regression equation

    log count = 6.593 − (0.2606 × time)

    and the observed data, find the residuals for the counts.

  2. (b) Plot the residuals versus time.

  3. (c) Write a short paragraph assessing the fit of the least-squares regression line to these data based on your interpretation of the residual plot.