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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter38: Achievement Review—section Three
Section: Chapter Questions
Problem 6AR
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Part 3

1
0
1 1
1
2
2. Having computed A from #1 above:
I. Write down the equation of the best fit line (i.e. the estimation function), noting that the first entry of A is the
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.
1. Given that F
=
2
Y:
6
8.
-
compute A = (FT F)−¹ FTY.
Transcribed Image Text:1 0 1 1 1 2 2. Having computed A from #1 above: I. Write down the equation of the best fit line (i.e. the estimation function), noting that the first entry of A is the 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. 1. Given that F = 2 Y: 6 8. - compute A = (FT F)−¹ FTY.
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