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 it is violated in many situations. For instance, for some auditory stimuli, the Weber fraction does depend systematically on the stimulus intensity. much a law as it is a rule of thumb, since 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. Stimulus intensity, x (in decibels) Weber fraction, y (in decibels) 1- 35 -0.38 0- 40 -0.51 -1- 45 -1.13 50 -1.03 -2- 55 -1.98 -3- 60 -2.91 -4- 65 -3.17 -5- 70 -3.10 75 -4.17 80 -4.15 Figure 1 Send data to Excel
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 it is violated in many situations. For instance, for some auditory stimuli, the Weber fraction does depend systematically on the stimulus intensity. much a law as it is a rule of thumb, since 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. Stimulus intensity, x (in decibels) Weber fraction, y (in decibels) 1- 35 -0.38 0- 40 -0.51 -1- 45 -1.13 50 -1.03 -2- 55 -1.98 -3- 60 -2.91 -4- 65 -3.17 -5- 70 -3.10 75 -4.17 80 -4.15 Figure 1 Send data to Excel
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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Transcribed Image Text:30
40
50
60
80
80
4.15
Figure 1
Send data to Excel
The least-squares regression line for these data has a slope of approximately -0.0930.
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a
list of formulas.)
What is the value of the y-intercept of the least-squares
regression line for these data? Round your answer to at least
four decimal places.
What is the value of the sample correlation coefficient for these
data? Round your answer to at least three decimal places.
Explanation
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Transcribed Image Text: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
Naw 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.
%3D
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.
Stimulus
intensity, x
(in decibels)
Weber fraction, y
(in decibels)
1+
35
-0.38
0+
Ac
40
-0.51
45
-1.13
-1+
50
-1.03
-2+
55
-1.98
60
-2.91
65
-3.17
-5-
70
-3.10
75
-4.17
30
40
50
60
70
80
90
80
-4.15
Figure 1
Send data to Excel
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a
list of formulas.)
The least-squares regression line for these data has a slope of approximately -0.0930.
What is the value of the y-intercept of the least-squares
Check
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