1. 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). 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 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.
1. 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). 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 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Transcribed Image Text:1. 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).
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
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.
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