Answered: Stimulus Weber intensity, x fraction, y…

Name: Weber’s law, a concept taught in most introduction to psychology cours
Uploaded: 2024-03-05T11:52:21.000Z
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Description: Weber’s law, a concept taught in most introduction to psychology courses, states that the ratio of 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

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Weber’s law, a concept taught in most introduction to psychology courses, states that the ratio of 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 “Webster 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 systemically 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 Weber fraction y (in decibels) is shown. Figure 1 is a scatter plot of the data. Also given is the product of the stimulus intensity and the Weber fraction for each of the ten stimuli. (These products, written in the column labeled “xy”, may aid in calculations. What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places.

the Weber
Stimulus
Weber
fraction, y
(in decibels)
intensity, x
xy
(in decibels)
35
-0.61
-21.35
40
-0.49
-19.6
45
-1.42
-63.9
50
-0.73
-36.5
55
-1.88
-103.4
60
-2.46
-147.6
65
-3
-195
40
50
60
70
80
90
70
-2.91
-203.7
Stimulus intensity
(in decibels)
75
-4.28
-321
80
-3.92
-313.6
Figure 1
Send data to calculator
at is the sample correlation coefficient for these data? Carry your intermediate computations to at leas
ee decimal places. (If necessary, consult a list of formulas.)
Weber fraction
(in decibels)

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