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?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Chapter4: Writing Linear Equations
Section4.5: Analyzing Lines Of Fit
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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
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.
Macbook AI
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. Macbook AI
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