Question: Moore's law. The figure and table below show the number of transistors N in 13 microprocessors,

and the year of their introduction.

The plot gives the number of transistors on a logarithmic scale. Find the least squares straight-line fit of the data using the model

where \(t\) is the year and \(N\) is the number of transistors. Note that \(\theta_{1}\) is the model's prediction of the log of the number of transistors in 1970 , and \(10^{\theta_{2}}\) gives the model's prediction of the fractional increase in number of transistors per year.

We want to find the coefficients \(\theta_{1}\) and \(\theta_{2}\) that minimize the RMS error on the data. Express this problem as the least squares problem of the form:

where \(\theta=\left(\theta_{1}, \theta_{2}\right) .\) Here, write down \(A\) and \(b\). We will solve for \(\theta\) numerically in the Julia portion of the homework.

Price: $2.99

Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document