(a) Using the method of least squares, fit a straight line to the following data. What are the least squares estimates of the slope and intercept of the line?
x 10 20 30 40 50 60
y 2.7 3.6 5.2 6.1 6.0 4.9
(b) Calculate 99% confidence intervals for the slope and intercept.
(c) Comment on the data and analysis and carry out any further analysis you think is appropriate.