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‫Welcome back.

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‫So now that we had our third slope that we called.

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‫P, that's up K plus one at T plus T.

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‫S over to and here we put an asterisk.

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‫Now we're going to take the third slope and again we're going to go back to our original point at time

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‫equals T or where our present state values are.

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‫So this would be a piece of cake, right this point here.

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‫So we're going to apply our third slope to this point.

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‫And again, we're going to project it into the future.

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‫So let's say that this is our third slope here and we're going to project it, but now since it's the

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‫third slope, we are not going to project it to here.

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‫We're going to project it till T plus two still here.

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‫So like this, and here we're going to have a point for our new predicted state, but now this predicted

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‫state here was computed using the third slope.

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‫And remember, everything that we're doing with this piece that you can do it with all other states

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‫as well, it's just I don't want to draw and write the same things for all the 12 states because they

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‫would be the same thing in terms of the concept.

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‫So this would be your third slope here and then the state value here, we're going to call it like this

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‫piece up K plus one.

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‫Now in the subindex, I'm going to write T plus T.

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‫S.

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‫And it makes sense, right, because now we are projecting it till T plus PTS, and in the superscript,

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‫I'm going to put three to tell you that this point was computed using slope three and then this WidePoint

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‫here, it's of course, your true P.

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‫S K plus one.

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‫You're trying to approximate this true piece up K plus one using your wrong Akutan method.

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‫OK, and now in order to compute this data value mathematically, well, I think you really know how

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‫to do it.

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‫So it's this state value equals.

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‫And now as an exercise, try to write here what it equals two and you're going to see it in the next

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‫video.

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‫So see you then.