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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
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 11CT
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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: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
(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
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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