Computer output for a regression line to predict the number of Facebook friends a student will have, based on a normalized score of the grey matter density in the areas of the brain associated with social perception and 40 students are stored in FacebookFriends. associative memory is given below. Data for the sample of n = Pearson correlation of GMdensity and FBfriends = 0.436. P-Value = 0.005.
Computer output for a regression line to predict the number of Facebook friends a student will have, based on a normalized score of the grey matter density in the areas of the brain associated with social perception and 40 students are stored in FacebookFriends. associative memory is given below. Data for the sample of n = Pearson correlation of GMdensity and FBfriends = 0.436. P-Value = 0.005.
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 14CR
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Question
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Need help with part C of the question only.
Transcribed Image Text:Inference on the Slope of Facebook Friends and the Brain
Computer output for a regression line to predict the number of Facebook friends a student will have, based on a
normalized score of the grey matter density in the areas of the brain associated with social perception and
associative memory is given below. Data for the sample of n = 40 students are stored in FacebookFriends.
Pearson correlation of GMdensity and FBfriends =
: 0.436.
P-Value =
0.005.
The regression equation is FBfriends
367 + 82.4 GMdensity.
Predictor
Coef
SE Coef T
Constant
366.64
26.35 13.92 0.000
GMdensity
82.45
27.58
2.99 0.005
S = 165.716 R – Sq = 19.0% R– Sq(adj) = 16.9%
800
700
600 -
500
400
300
200
100
-2
GMdensity
FBfriends
Transcribed Image Text:(b) Use the information from part (a) to calculate the test statistic to test the slope to determine whether
GMdensity is an effective predictor of FBfriends. Find the test statistic and p-value and make a conclusion.
Round your answers to three decimal places.
t =
2.99
The p-value is
i
.005
Conclusion: Reject
O Ho.
eTextbook and Media
(c) Use the information from part (a) to find a 95% confidence interval for the slope. Uset-values rounded to
three decimal places.
Round your answers to two decimal places.
i
to i
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