The total least squares estimation is a method used in statistics to find the best fit line for data points. It is similar to the least squares estimation but has some differences. The total least squares estimation is unbiased, meaning it gives accurate results on average. However, it is more sensitive to errors in the data compared to the least squares estimation. This means that small errors in the data can have a bigger impact on the total least squares estimation. Overall, the total least squares estimation provides solutions and estimates that are related to those from the least squares estimation, but with some differences.