Note this question was post twice Im still have problem unde

Note: this question was post twice, I’m still have problem understanding # 2 Estiamte how long it would take you to learn a list of 50 and 100 three-digit numbers.
Can you explain step by step for 2 problem please with good solution. Number 1 already solved and number three I solved too so I need only help with number 2.   

Rate of Memorization Model
Human learning is , to say the least, an extremely complicated process. The biology and chemistry of learning is far from understood. While simple models of learning cannot hope to encompass this complexity, they can illuminate limited aspects of the learning hope to encompass this complexity, they can illuminate limited aspects of the learning process. In this lab we study a simple model of the process of memorization of lists (lists of nonsense syllables or entries from tables of integrals).
   The model is based on the assumption that the rate of learning is proportional to the amount left to learned. We let be the fraction of the list already committed to memory at time . so corresponds to knowing none of the list, and corresponds to knowing the entire list. The differential equations is differenet people take amounts of time to memorize a list. According to the model this means that each person has his or her own personal value of value as follows steps:

1.. Four lists of three-digit numbers are given in table A, and additional lists can be generated by a random number generator on a computer. Collect the data necessary to determine your personal value as follows:
(a) spend one minute studying one of the lists of numbers in table A ( Measure the time carefully. A friends can help .)
(B). Quiz yourself on how many of the numbers you have memorized by writing down as many of the number as you remembers as you remember in their correct order. ( You may skip over numbers as you remembers you do not remember and obtial \" credit\" for numbers you remember later in the list.) Put your quiz aside to be graded later.
(C) spend another minute studying the same list
(D) quiz yourdelf again
Repeat the process ten times ( or untl you have learned the entire list). Grade your quizzes ( a correct answer is having a correct number in its correct position in the list). Compile your data in graph with , the amount of time spent studying, on the list). Compile your datain a graph with , the amount of time spent studying, on the horizontal azis, and , the fraction of the list learned, on the vertical axis.
2. Use this data to apporximate your personal value and compare your data with the predications of the model. You many use numeric or analytic methods, but be sure to carefully explain your work. Estiamte how long it would take you to learn a list of 50 and 100 three-digit numbers.here i need help

3. Repeat the process in part 1 on two of the other lists and compute your value on these lists. Is your personal value on these lists. Is your personal value really constant, or does it improve with parctice? if does improve with practice, how would you modify the model to include this?

list 1 list 2 list 3 list 4
1 457 167 733 240
2 938 603 297 897
3 363 980 184 95
4 246 326 784 105
5 219 189 277 679
6 538 846 274 011
7 790 040 516 020
8 895 891 051 013
9 073 519 925 144
10 951 306 102 209
11 777 424 826 419
12 300 559 937 191

13

048 911 182 551
14 918 439 951 282
15 524 140 643 587
16 203 15 434 609
17 719 847 921 391
18 518 245 820 364
19 130 752 017 73
20 874 552 389 735

Solution