Question

B is generated from the formula below.
B = roundeddown((H + 1) / 10))

The following table shows that when H = 150 that B = 15.

Without knowing the formula in advance how do you use just the information in the table to determine the formula?

150 15
165 16
181 18
199 20
219 22
241 24
265 26
291 29
320 32
352 35
387 38
425 42
467 46
513 51
564 56
620 62
682 68
750 75
825 82
907 90

Answer 1

Try plotting a graph and determine the formula from the graph.

Answer 2

I am not aware of how to determine a formula from a graph.

Answer 3

First, plot the points.
Now look at the graph, if it looks linear, calculate the slope by choosing two points on the graph. Also, read the y-intercept from the plot.
Then find the equation using y = mx + b, whre m is the slope and b is the y-intercept.

Answer 4

X Y Slope
150 15
165 16 0.067
181 18 0.125
199 20 0.111
219 22 0.100
241 24 0.091
265 26 0.083
291 29 0.115
320 32 0.103
352 35 0.094
387 38 0.086
425 42 0.105
467 46 0.095
513 51 0.109
564 56 0.098
620 62 0.107
682 68 0.097
750 75 0.103
825 82 0.093
907 90 0.098

I realized there was an error in the information and changed it however neither table showed the slope as constant. That would mean that I am not able to use y=mx+b because it is not a line correct?

Answer 5

I am not sure if this helps...

X Y
0 0.1
1 0.2
2 0.3
3 0.4
4 0.5
5 0.6
6 0.7
7 0.8
8 0.9
9 1
10 1
11 1
12 1
13 1
14 1
15 1
16 1
17 1
18 1
19 2
21 2
23 2
25 2
27 2
29 3
32 3
35 3
38 3
41 4

Answer 6

Well, the formula you provided sure isn't correct, not even if you round the numbers. (For example, (165 + 1) / 10 would be 16,6, rounded 17. Your table says B = 16. What would give you the exact B values for your given Hs would be dividing H by 10 and then "cutting off" the remainder. (There's 2 cases where it wouldn't work exactly: row 4, row 5. In these two cases it seems like the B values were rounded up because they were "very close" to another value e.g. 19,9 = 20 and 21,9 = 22. This is not the same as rounding up, the program probably recognized 19,9 to b 20 and 21,9 to be 22. This is a mistake that happens with a lot of badly programmed apps. It's got to do with the binary system).

How did you obtain these values and what exactly do you want to do/describe with them?

Answer 7

You are correct. My apologies. 16.6 would have to be rounded down to 16 before being added.

Answer 8

The values are not important to me. The understanding of how to take values like this and generate a formula to predict their future values.

Answer 9

Row 4 + 5 are correct. (199 + 1) / 10 = 20 and (219 + 1) / 10 = 22.