To study how recognition memory decreases with time, the following experiment was conducted. The subject read a list of 20 words slowly aloud, and later, at different time intervals, was shown a list of 40 words containing the 20 words that he or she had read. The percentage, P, of words recognized was recorded as a function of t, the time elapsed in minutes. The table below shows the averages for 5 different subjects, This is modeled by P=a ln 1+b. 1, min 15 30 60 120 240 73.0 61.7 58.3 55.7 50.3 46.7 t, min 480 720 1440 2880 5760 10,080 40.3 38.3 29.O 24.0 18.7 10.3 (a) Find In i for each value of 1, and then use regression on a calculator or computer to estimate a and b. Round your answers to three decimal places. a 3=
To study how recognition memory decreases with time, the following experiment was conducted. The subject read a list of 20 words slowly aloud, and later, at different time intervals, was shown a list of 40 words containing the 20 words that he or she had read. The percentage, P, of words recognized was recorded as a function of t, the time elapsed in minutes. The table below shows the averages for 5 different subjects, This is modeled by P=a ln 1+b. 1, min 15 30 60 120 240 73.0 61.7 58.3 55.7 50.3 46.7 t, min 480 720 1440 2880 5760 10,080 40.3 38.3 29.O 24.0 18.7 10.3 (a) Find In i for each value of 1, and then use regression on a calculator or computer to estimate a and b. Round your answers to three decimal places. a 3=
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:To study how recognition memory decreases with time, the following experiment was conducted. The subject read a list of 20 words
slowly aloud, and later, at different time intervals, was shown a list of 40 words containing the 20 words that he or she had read. The
percentage, P, of words recognized was recorded as a function of t, the time elapsed in minutes. The table below shows the averages
for 5 different subjects, This is modeled by P=a ln 1+b.
1, min
15
30
60
120
240
P%
73.0 61.7 58.3
55.7 50,3
46.7
1, min 480
720 1440 2880 5760 10,080
P%
40.3 38.3 29.O 24.0 18.7
10.3
(a) Find In t for each value of t, and then use regression on a calculator or computer to estimate a and b.
Round your answers to three decimal places.
a 3=
9.

Transcribed Image Text:(a) Find In I for cach value of , and then use regression on a calculator or computer to estimate a and b.
Round your answers to three decimal places.
(b) When does this model predict that the subjects will recognize no words? All words?
Round your answers to the nearest integer.
The subjects will recognize no words in
days.
The subjects will recognize all words in i
seconds from the start of the experiment.
Adapted from D. Lewis, Quantitative Methods in Psychology (New York: McGraw-Hill, 1960).
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