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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 5SC: In how many ways can 5 people stand in a line if one person demands to be first?
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Note: The two images are one question; "444" includes the question and part (a), and "4444" includes part (b).

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: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.
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?
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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