A social scientist asked a random sample of 50 students, "How many friends do you have on your favorite social media site, and how many of them are meaningful?" The social scientist would like to know if there is convincing evidence of a linear relationship between the number of friends students have on their favorite social media site and the number of friends who are meaningful. The regression model conditions were checked and were determined to be met. A scatterplot and computer output are shown below. ul 25 20
A social scientist asked a random sample of 50 students, "How many friends do you have on your favorite social media site, and how many of them are meaningful?" The social scientist would like to know if there is convincing evidence of a linear relationship between the number of friends students have on their favorite social media site and the number of friends who are meaningful. The regression model conditions were checked and were determined to be met. A scatterplot and computer output are shown below. ul 25 20
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Note: The two images are one question; "444" includes the question and part (a), and "4444" includes part (b).
Transcribed Image Text:A social scientist asked a random sample of 50 students, "How many friends do you have on your favorite
social media site, and how many of them are meaningful?" The social scientist would like to know if there
is convincing evidence of a linear relationship between the number of friends students have on their
favorite social media site and the number of friends who are meaningful. The regression model conditions
were checked and were determined to be met. A scatterplot and computer output are shown below.
Number of Friends
Who Are Meaningful
25
20
15
10
сл
0
Predictor
Constant
Friends
S = 0.557
0
200
400
600
800
1,000
Number of Friends on Favorite Social Media Site
Coef
7.22
0.013
R-sq = 0.9714
SE Coef
0.1915
0.000322
T
1,200
37.707
40.408
R-sq (adj) = 0.9708
P
0.000
0.000
a) Using the regression output, write the equation of the least-squares regression line. Identify all
variables used in the equation.
Transcribed Image Text:b) If a student has 400 more friends on their favorite social media site than the student's cousin, how
many additional friends are expected to mean something to that student?
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