A social science professor wants to determine if the amount of time that a student, who is in a relationship, spends with his or her partner is related to that same student’s academic performance. A random sample of students who are in a relationship has been taken, and the table below shows the amount of time (in hours) spent by each sample on his or her partner in a week, as well as the average grade (with 75.00 as the passing mark). a. 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.
A social science professor wants to determine if the amount of time that a student, who is in a relationship, spends with his or her partner is related to that same student’s academic performance. A random sample of students who are in a relationship has been taken, and the table below shows the amount of time (in hours) spent by each sample on his or her partner in a week, as well as the average grade (with 75.00 as the passing mark). a. 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.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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A social science professor wants to determine if the amount of time that a student, who is in a relationship, spends with his or her partner is related to that same student’s academic performance. A random sample of students who are in a relationship has been taken, and the table below shows the amount of time (in hours) spent by each sample on his or her partner in a week, as well as the average grade (with 75.00 as the passing mark).
a. Find the regression equation and construct the
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.
Transcribed Image Text:Time
149.11
137.94
128.53
145.89
102.61
122.72
136.54
152.18
127.74
Grade
90.37
85.04
86.10
80.12
88.39
91.44
83.68
82.65
87.21
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