Campus LoginHi Week 8- MAT300457VA016-121 xA ALEKS - Shasia Gibbs - Learn→ CA www-awn.aleks.com/alekscgi/x/Isl.exe/1o_u-lgNslkr7j8P3jH-Iv-6txjbonmDn7WsVrRAXK6XnHkiRvH2tl80GOCPOPxmB3tDIGhaxzPV3C7jOfhOhWvpfMzFtGpPfJI-Pa_5LIF..O REGRESSION AND CORRELATIONPredictions from the least-squares regression lineShWeber'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 inintensity 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'slaw 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, sinceit 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 stimulusintensities 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.Stimulusintensity, x(in decibels)Weber fraction, y(in decibels)1-35-0.480+40-0.2445-1.39-1+50-1.05-2+55-2.12-3+60-2.81-4+65-3.3470-2.9975-4.213080-4.29Figure 1Send data to ExcelExplanationCheck02021 McGraw-Hill Fducation All Rinhts RoservedTorms of Use PrivaCV AcP Type here to searchO.hp Answerollowing:1. Fill in the blank: For these data, Weber fractions that are less thanthe mean of the Weber fractions tend to be paired with stimulusintensities that areChoose onęthe mean of the stimulus intensities.Choose one'greater thanless than2. According to the regression equation, for an increase of one decibelin stimulus intensity, there is a corresponding decrease of how manydecibels 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 youranswer to at least two decimal places.)4. What was the observed Weber fraction (in decibels) when thestimulus intensity was 65 decibels?ExplanationCheck

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?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 24EQ

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