1. The relationship between Grades and Minutes is best described as ??? and ??? 2. Use the computer output to complete the sentence: Each additional minute spent on social media is associated with a/an ??? in term percentage grade. of 3. What is the proportion of variability in term percentage grade that can be explained by the linear relationship to time spent on social media? 4. What is the expected value of Grades when Minutes is 0 minutes?
1. The relationship between Grades and Minutes is best described as ??? and ??? 2. Use the computer output to complete the sentence: Each additional minute spent on social media is associated with a/an ??? in term percentage grade. of 3. What is the proportion of variability in term percentage grade that can be explained by the linear relationship to time spent on social media? 4. What is the expected value of Grades when Minutes is 0 minutes?
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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![Social media and your grades - A college student wants to find out whether there is a relationship between time spent in minutes on social media platforms per day throughout the semester and the end of term percentage
grade. The student collects a random sample of 40 students and records the time spent in minutes and the end of term percentage grades. Minutes spent on social media per day (Minutes) is the X variable and End of term
percentage grade (Grades) is the Y variable in this scenario.
A scatter plot of the data and the computer output from using statistical software to construct a linear model are shown below.
Social Media Time and Grades
50
60
70
80
90
100
110
Minutes spent on social media per day
Coefficients
Estimate Std. Error
t value
Pr(>|t|)
(Intercept)
99.35
1.504
66.051 7.94e - 41
***
00100
RESUME (3).pdf
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End of term percentage grade
78 80 82 84 86 88 90
26](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2c22f10-b0be-404e-9ac6-a39a61b5602b%2F49ea11fc-3717-4e58-9d02-8303b1cd84ce%2Fm08htv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Social media and your grades - A college student wants to find out whether there is a relationship between time spent in minutes on social media platforms per day throughout the semester and the end of term percentage
grade. The student collects a random sample of 40 students and records the time spent in minutes and the end of term percentage grades. Minutes spent on social media per day (Minutes) is the X variable and End of term
percentage grade (Grades) is the Y variable in this scenario.
A scatter plot of the data and the computer output from using statistical software to construct a linear model are shown below.
Social Media Time and Grades
50
60
70
80
90
100
110
Minutes spent on social media per day
Coefficients
Estimate Std. Error
t value
Pr(>|t|)
(Intercept)
99.35
1.504
66.051 7.94e - 41
***
00100
RESUME (3).pdf
Show All
MacBook Air
esc
吕口
F3
FI
F2
II FD
F4
. ES
F7
4>
F9
F10
F11
F12
#3
3
2$
&
4
5
8
de
Q
E
R
T.
Y
U
End of term percentage grade
78 80 82 84 86 88 90
26
![Coefficients
Estimate
Std. Error
t value
Pr(>It|)
(Intercept)
99.35
1.504
66.051 7.94e – 41
***
Minutes
-0.1883
0.0189
-9.964 3.77e – 12
***
Residual standard error: 2.06 on 38 degrees of freedom
Multiple R-squared: 0.7232, Adjusted R-squared: 0.7159
1. The relationship between Grades and Minutes is best described as ???
and ???
2. Use the computer output to complete the sentence:
Each additional minute spent on social media is associated with a/an| ???
of
in term percentage grade.
3. What is the proportion of variability in term percentage grade that can be explained by the linear relationship to time spent on social media?
4. What is the expected value of Grades when Minutes is O minutes?
5. What is the standard error for the regression model?
6. What is the 99% confidence interval for the true slope of the regression line?
IMPORTANT! You MUST use a t value rounded to EXACTLY 3 decimal places in this calculation. Round your final answers to 4 decimal places.
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Transcribed Image Text:Coefficients
Estimate
Std. Error
t value
Pr(>It|)
(Intercept)
99.35
1.504
66.051 7.94e – 41
***
Minutes
-0.1883
0.0189
-9.964 3.77e – 12
***
Residual standard error: 2.06 on 38 degrees of freedom
Multiple R-squared: 0.7232, Adjusted R-squared: 0.7159
1. The relationship between Grades and Minutes is best described as ???
and ???
2. Use the computer output to complete the sentence:
Each additional minute spent on social media is associated with a/an| ???
of
in term percentage grade.
3. What is the proportion of variability in term percentage grade that can be explained by the linear relationship to time spent on social media?
4. What is the expected value of Grades when Minutes is O minutes?
5. What is the standard error for the regression model?
6. What is the 99% confidence interval for the true slope of the regression line?
IMPORTANT! You MUST use a t value rounded to EXACTLY 3 decimal places in this calculation. Round your final answers to 4 decimal places.
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