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. 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 65 decibels? (Round your answer to at least two decimal places.) 4. What was the observed Weber fraction (in decibels) when the stimulus intensity was 65 decibels?
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. 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 65 decibels? (Round your answer to at least two decimal places.) 4. What was the observed Weber fraction (in decibels) when the stimulus intensity was 65 decibels?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
Transcribed Image Text:Campus Login
Hi Week 8- MAT300457VA016-121 x
A ALEKS - Shasia Gibbs - Learn
→ C
A www-awn.aleks.com/alekscgi/x/Isl.exe/1o_u-lgNslkr7j8P3jH-Iv-6txjbonmDn7WsVrRAXK6XnHkiRvH2tl80GOCPOPxmB3tDIGhaxzPV3C7jOfhOhWvpfMzFtGpPfJI-Pa_5LIF..
O REGRESSION AND CORRELATION
Predictions from the least-squares regression line
Sh
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 = 3.1193 -0.0941x.
This line is shown in the scatter plot in Figure 1.
Stimulus
intensity, x
(in decibels)
Weber fraction, y
(in decibels)
1-
35
-0.48
0+
40
-0.24
45
-1.39
-1+
50
-1.05
-2+
55
-2.12
-3+
60
-2.81
-4+
65
-3.34
70
-2.99
75
-4.21
30
80
-4.29
Figure 1
Send data to Excel
Explanation
Check
02021 McGraw-Hill Fducation All Rinhts Roserved
Torms of Use PrivaCV Ac
P Type here to search
O.
hp
Transcribed Image Text:Answer
ollowing:
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
Choose onę
the mean of the stimulus intensities.
Choose one'
greater 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 65 decibels? (Round your
answer to at least two decimal places.)
4. What was the observed Weber fraction (in decibels) when the
stimulus intensity was 65 decibels?
Explanation
Check
Expert Solution
Step 1
As per the Weber's law, we can draw the inference that Weber's fraction doesn't depends upon the intensity of stimulus.
When the experimental data was plotted, we got a straight line with negative slope (-0.0941) and a positive intercept.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman