00:01
All right, in your question, you're to estimate h prime of t from the given information in our table.
00:05
So when we're at the left boundary and the right boundary, we're allowed to include that actual data value in our slope calculation.
00:19
So working on the left one at 14, we're going to say these are your, you would consider this your x variables and this your y.
00:29
So we're going to do y25 minus 40 divided by 21 minus 14.
00:39
That's going to be 15 divided by 7.
00:42
And you're to enter this as a decimal.
00:45
So 15 divided by 7 is 2 .14.
00:52
Now that's your first boundary.
00:54
Now when we're looking to estimate at 21, we're supposed to use the value.
01:01
To either side of it.
01:03
So when i'm looking at 21, i want to estimate using the 2814 values.
01:09
So this one's going to be 64 minus 40 over 28 minus 14.
01:17
That's going to be 24 over 14 or 1 .71.
01:28
Moving on to the 28, i would use the 35, 71, and the 21 55 to 75 to edit.
01:37
Estimate at 28.
01:39
So it's going to be 71 minus 55 over 35 minus 21.
01:50
That's going to be a total of 16 over 14, which is 1 .14.
02:01
For 35, i would use the 2864 and the 42 79.
02:07
So 79 minus 64 over 42, minus 28.
02:17
So we end up with a total of 15 over 14, which works out to be 1 .07.
02:30
Moving on for 42, you would use the 71 35, 83, 49 set of numbers.
02:39
It's going to be 83 minus 71 over 49 minus 35...