Answered: Weber's law, a concept taught in most…

Name: Weber's law, a concept taught in most Introduction to Psychology cours
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Description: Weber's law, a concept taught in most Introduction to Psychology courses, states that the ratio of the intensity of a stimulus to the "just noticeable" increment in intensity is constant, that is, the ratio doesn't depend on the intensity of the stim

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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Weber's law, a concept taught in most Introduction to Psychology courses, states that the ratio of the intensity of a stimulus to the "just noticeable" increment in intensity is constant, that is, the ratio doesn't depend on the intensity of the stimulus. The ratio is called the "Weber fraction," so a concise statement of Weber's law is that "the Weber fraction is constant, regardless of the stimulus intensity." It turns out that Weber's law is not so much a law as it is a rule of thumb, since it is violated in many situations. For instance, for some auditory stimuli, the Weber fraction does depend systematically on the stimulus intensity.

The following bivariate data are the experimental data obtained for one listener in an auditory intensity discrimination task. For each of the ten stimulus intensities x(in decibels), the experimental Weber fraction y (in decibels) is shown. For these data, the least-squares regression line is y=2.9921-0.0907x. This line is shown in the scatter plot in Figure 1.

Stimulus intensity, x (in decibels)	Weber fraction, y (in decibels)
35	-0.65
40	-0.16
45	-1.27
50	-1.11
55	-1.79
60	-2.89
65	-3.19
70	-2.82
75	-4.26
80	-4.1

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Figure 1

Answer the following:

1. Fill in the blank: For these data, Weber fractions that are less than the mean of the Weber fractions tend to be paired with stimulus intensities that are _____ the mean of the stimulus intensities.	Choose onegreater than less than
2. According to the regression equation, for an increase of one decibel in stimulus intensity, there is a corresponding decrease of how many decibels in the Weber fraction?
3. From the regression equation, what is the predicted Weber fraction (in decibels) when the stimulus intensity is 75 decibels? (Round your answer to at least two decimal places.)
4. What was the observed Weber fraction (in decibels) when the stimulus intensity was 75 decibels?

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