Question: A research team collected longitudinal data on \[n=650\] participants. Their dependent variable was the participant’s score on an index of depression at age 25. The index ranged from 0 to 40, with a higher score indicator more extensive depression. The average of the 650 participants was 11.3, with an observed standard deviation of 6.2 (the divisor of the variance was \[n-1\] ). Their independent variable was the number of stressful life events reported by the participants as having been experienced between 12 and 22 years of age. The average was 1.7, with an observed standard deviation of 1.1. The correlation coefficient between the depression measure and the reported number of stressful events was 0.36.

1. Complete the analysis of variance table. Determine the least-squares prediction equation and give the 95% confidence interval for the slope of the regression of depression measure on the reported number of stressful events.
2. Use the least-squares prediction equation to predict the depression score of a participant who reported 4 stressful events. Give a 99% prediction interval.

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