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The following information was collected on 20 randomly chosen high school students, which compared their IQ score to musical aptitude Row IQ Score Musical Aptitude 1 95 30 2 106 37 3 110 35 4 104 28 5 98 17 6 114 45 7 123 33 8 100 18 9 98 24 10 88 18 11 102 30 12 105 30 13 111 32 14 106 33 15 110 38 16 143 42 17 106 40 18 98 20 19 104 23 20 97 25   Descriptive statistics __________________ Variable N Mean Median TrMean Stdev SEMean IQScore 20 10590 10450 10483 1160 259 Mus Apt 20 2990 30 2978 827 185   Variable Min Max Q1 Q3 IQScore 88 143 98 110 Mus Apt 17 45 2325 3650   Regression Analysis _____________________ Predictor Coef Stdev t-ratio p Constant -2226 1294 -172 0102 IQScore 04925 01215   s = 6143 R-sq = 477% R-sq(adj) = 448%   Can you tell me what is the equation of the least squares regression line that would be used to predict musical aptitude from an IQ score and a 95% confidence interval for the slope of the regression line?   Can we conclude that there is a significant relationship between IQ score and musical aptitude at? = 005?   What does this value of s= 6143 in the context of the problem?

Management Dec 07, 2020

The following information was collected on 20 randomly chosen high school students, which compared their IQ score to musical aptitude

Row IQ Score Musical Aptitude

1 95 30

2 106 37

3 110 35

4 104 28

5 98 17

6 114 45

7 123 33

8 100 18

9 98 24

10 88 18

11 102 30

12 105 30

13 111 32

14 106 33

15 110 38

16 143 42

17 106 40

18 98 20

19 104 23

20 97 25

 

Descriptive statistics

__________________

Variable N Mean Median TrMean Stdev SEMean

IQScore 20 10590 10450 10483 1160 259

Mus Apt 20 2990 30 2978 827 185

 

Variable Min Max Q1 Q3

IQScore 88 143 98 110

Mus Apt 17 45 2325 3650

 

Regression Analysis

_____________________

Predictor Coef Stdev t-ratio p

Constant -2226 1294 -172 0102

IQScore 04925 01215

 

s = 6143 R-sq = 477% R-sq(adj) = 448%

 

Can you tell me what is the equation of the least squares regression line that would be used to predict musical aptitude from an IQ score and a 95% confidence interval for the slope of the regression line?

 

Can we conclude that there is a significant relationship between IQ score and musical aptitude at? = 005?

 

What does this value of s= 6143 in the context of the problem?

Expert Solution

an you tell me what is the equation of the least squares regression line that would be used to predict musical aptitude from an IQ score and a 95% confidence interval for the slope of the regression line?

=12+15

yes there is a significant relationship 

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