The following data was collected to explore how the average number of hours a student studies per night and the student's GPA affect their ACT score. The dependent variable is the ACT score, the first independent variable (x1) is the number of hours spent studying, and the second independent variable (x2) is the student's GPA. Effects on ACT Scores Study Hours GPA ACT Score 1 16 20 3 23 4 4 29 4 31
The following data was collected to explore how the average number of hours a student studies per night and the student's GPA affect their ACT score. The dependent variable is the ACT score, the first independent variable (x1) is the number of hours spent studying, and the second independent variable (x2) is the student's GPA. Effects on ACT Scores Study Hours GPA ACT Score 1 16 20 3 23 4 4 29 4 31
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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Question
![The following data was collected to explore how the average number of hours a student studies per night and the student's GPA affect their ACT score. The dependent
variable is the ACT score, the first independent variable (x1) is the number of hours spent studying, and the second independent variable (x2) is the student's GPA.
Effects on ACT Scores
Study Hours
GPA
ACT Score
1
16
3
2
20
3
3
23
4
29
4
31
Copy Data
Step 2 of 2: Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.01 level of significance. If the
relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. Otherwise, indicate
that there is not enough evidence to show that the relationship is statistically significant.
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Selecting a checkbox will replace the entered answer value(s) with the checkbox value. If the checkbox is not selected, the entered answer is used.
y =
X +
X2
O There is not enough evidence.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0393c8d3-5560-49fe-9d27-b3e3e6d860d8%2F94fae3f9-330c-47b4-ba4c-6486d7ac69f1%2Fan65g9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The following data was collected to explore how the average number of hours a student studies per night and the student's GPA affect their ACT score. The dependent
variable is the ACT score, the first independent variable (x1) is the number of hours spent studying, and the second independent variable (x2) is the student's GPA.
Effects on ACT Scores
Study Hours
GPA
ACT Score
1
16
3
2
20
3
3
23
4
29
4
31
Copy Data
Step 2 of 2: Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.01 level of significance. If the
relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. Otherwise, indicate
that there is not enough evidence to show that the relationship is statistically significant.
E Tables
E Keypad
Answer
How to enter your answer (opens in new window)
Keyboard Shortcuts
Previous Step Answer
Selecting a checkbox will replace the entered answer value(s) with the checkbox value. If the checkbox is not selected, the entered answer is used.
y =
X +
X2
O There is not enough evidence.
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