Question: A research team collected data on \[n=550\] participants. Their dependent variable was the participant’s score on an index of obesity at age 40. The index ranged from 0 to 50, with a higher score indicating more extensive obesity. The average was 23.2, with an observed standard deviation of 4.1 (the divisor of the variance was \[n-1\] ). Their independent variable was the participant’s obesity score at age 30. The average was 15.7, with an observed standard deviation of 1.8. The correlation coefficient between the obesity measure at age 30 and the obesity measure at age 40 was 0.55. Complete the analysis of variance table describing the regression of the obesity measure at age 30 on the obesity measure at age 40. Test the null hypothesis that the two measures do not have any linear association at the 0.10, 0.05, and 0.01 levels of significance. Give a 99% confidence interval for the expected obesity score at age 40 for a participant who had an obesity measure of 15 at age 30.

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