00:01
So we are assuming that the flow rate can be measured or have some kind of relationship with the pressure drop in inches of water.
00:11
So we are saying that the variable that we are assuming here, the pressure drop with x in our model, assumes values from 5 until 20.
00:22
And the true regression, the true relationship between the flow rate and the pressure drop is given by the.
00:30
This line here, straight line.
00:33
So we have this line here, which express the relationship that we have between the flow rate and the pressure drop.
00:43
Now, for the first part of the question, we want to say, what is the true average flow rate for a pressure drop of 15 inches? so we are saying that x is equals to 15.
00:56
And the first thing that we need to check if is, if it is this number here is inside the possible values, the x can asio.
01:05
In our case, 15 is between 5 and 20.
01:09
So it's okay.
01:11
Now, we just need to put x in the line, this line that we have.
01:17
So we are saying that the full rate will be minus 0 .16 plus.
01:24
0 .096, multiply by 15.
01:28
And if you solve this, you're going to find that the flow rate will be 1 .28.
01:33
And we usually use the true average flow rate, this term, to express this result.
01:42
The other thing is, let's also consider that x is 20 inches.
01:50
And again, we need to check if it is like a possible value that x can assume.
01:55
20 is a possible.
01:57
It's like almost the limit, like any number greater than this, will not be possible.
02:05
But in our case, 20 is possible.
02:08
And we just need to repeat the same thing that we did for 15.
02:11
But now we're going to put 20 there.
02:13
So if you put 20 here, you're going to get the average, the true average flow rate for a pressure drop of 20 inches of water...