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 |
(a) Using the least-squares regression equation
log count = 6.593 − (0.2606 × time)
and the observed data, find the residuals for the counts.
(b) Plot the residuals versus time.
(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.