1. Given that F = 6 1,Y= 0 , compute A = (FTF)-¹ FTY. 1 1 2 2. Having computed A from #1 above: 1. Write down the equation of the best fit line (i.e. the estimation function), noting that the first entry intercept and the second, the slope. II. Compute Ŷ = FA, i.e. where the data point should have been to lie exactly on the line. 3. Next, compute the least squared error E = ||Y – Ý || ² NOTE: All computations must be done by hand. Show detailed steps taken
Part 3
Here, in the question it is given matrix F and we have compute . Now after that we have to compute the equation of the best fit line and then from the data points the least squared error. The equation of the best fit line can be find out by:
A line of best fit may be a line that's the simplest approximation of the given set of knowledge.
It is accustomed study the character of the relation between two variables. (We're only considering the two-dimensional case, here.)
A line of best fit will be roughly determined using an eyeball method by drawing a line on a scatter plot in order that the amount of points above the road and below the road is about equal (and the road passes through as many points as possible).
A more accurate way of finding the road of best fit is that the least square method .
Elaborate form of the formula is:
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