The following information was collected on 20 randomly chosen high school students, which compared their IQ score to musical aptitude. RowIQ ScoreMus. Apt.
19530
210637
311035
410428
59817
611445
712333
810018
99824
108818
1110230
1210530
1311132
1410633
1511038
1614342
1710640
189820
1910423
209725
Descriptive Statistics

IQ Score20105.90104.50104.8311.602.59< br /> Mus. Apt2029.9030.0029.788.271.85
VariableMinMaxQ1Q2
IQ Score88.00143.0098.00110.00
Mus. Apt17.0045.0023.2536.50
Regression Analysis
PredictorCoefStdevt-ratiop
Constant-22.2612.94-1.720.102
IQ Score0.49250.1215
s= 6.143R-sq= 47.7%R-sq(adj)= 44.8%
A. What is the equation of the least squares regression line that would be used to predict musical aptitude from an IQ score? Be sure to define any variables used.
B. Calculate and interpret a 95% confidence interval for the slope of the regression line.
C. Is there a significant relationship between IQ score and musical aptitude? Give a statistical justification to support your answer. Assume conditions for regression inference are satisfied. Test at
α=0.05.