Computer output for a regression line to predict the number of Facebook friend the grey matter density in the areas of the brain associated with social perceptic 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 P

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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 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%
P
b₁ = i
FBfriends
What is the standard error for the slope?
800
700
600
500
400
300
200
100
Click here for the dataset associated with this question.
The standard error is i
0
(a) What is the slope of this regression analysis?
Round your answer to two decimal places, if required.
-2
Round your answer to two decimal places, if required.
0
GMdensity
2
Transcribed Image Text: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% P b₁ = i FBfriends What is the standard error for the slope? 800 700 600 500 400 300 200 100 Click here for the dataset associated with this question. The standard error is i 0 (a) What is the slope of this regression analysis? Round your answer to two decimal places, if required. -2 Round your answer to two decimal places, if required. 0 GMdensity 2
(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 = i
The p-value is i
Conclusion:
✓ Ho.
(c) Use the information from part (a) to find a 95% confidence interval for the slope. Use t-values rounded to three decimal places.
Round your answers to two decimal places.
i
to
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 = i The p-value is i Conclusion: ✓ Ho. (c) Use the information from part (a) to find a 95% confidence interval for the slope. Use t-values rounded to three decimal places. Round your answers to two decimal places. i to
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