1. A social science professor wants to determine if the amount of time that a student, who is in arelationship, spends with his or her partner is related to that same student's academicperformance. A random sample of students who are in a relationship has been taken, and thetable below shows the amount of time (in hours) spent by each sample on his or her partner ina week, as well as the average grade (with 75.00 as the passing mark).Time149.11137.94128.53145.89102.61122.72136.54152.18127.74Grade90.3785.0486.1080.1288.3991.4483.6882.6587.21a. Find the regression equation and construct the scatter plot diagram.b. Predict the grade of a student who spends 118.72 hours per week on his or her partner.c. Calculate the total variation.d. Compute the standard deviation of the estimate.

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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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A television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below. Age Group Watch11 p.m. News? 18 or less 19 to 35 36 to 54 55 or Older Total Yes 37 46 59 83 225 No 213 204 191 167 775 Total 250 250 250 250 1,000 (a) Let p1, p2, p3, and p4 be the proportions of all viewers in each age group who watch the station’s 11 p.m. news. If these proportions are equal, then whether a viewer watches the station’s 11 p.m. news is independent of the viewer’s age group. Therefore, we can test the null hypothesis H0 that p1, p2, p3, and p4 are equal by carrying out a chi-square test for independence. Perform this test by setting α = .05. (Round your answer to 3 decimal places.)…
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