An engineer wants to fit the model η = βx to the following data by the method of least squares. The tests were made in the random order indicated below. Do this work for him. First make a plot of the data.
![1657_data by the method of least squares.png](https://secure.tutorsglobe.com/CMSImages/1657_data by the method of least squares.png)
(a) Obtain the least squares estimate for the parameter β.
(b) Find the variance of this estimate (assuming that the variances of the individual y readings are constant and equal to 16).
(c) Obtain a 90% confidence interval for β.
(d) Make any further analysis you think appropriate and comment on your results. State any assumptions you make.