Chapter 9, Section 1, Exercise 020 Inference on the Slope of Facebook Friends an

Question

Chapter 9, Section 1, Exercise 020 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 FB friends = 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 Click here for the dataset associated with this question

Explanation / Answer

c) at 99% interval and degree of freedom of 38 (40-2) is 2.712

Margin of error = 2.712*27.58 = 74.7848

99% Interval

(82.45-74.7848, 82.45+74.7848)

= 7.67 to 157.23

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