Psychologist Erik Erikson suggested that individuals go through eight developmental stages throughout their lives. He believed that during stage 8 (age 65 to death), older adults will either fear or accept death depending on how much pleasure and satisfaction they feel they have experienced when reflecting back on their lives: a person who is satisfied with his or her life will accept death, whereas a person who looks back on life and sees failure and disappointment will fear death. To test this theory, a psychiatrist interviewed a random sample of people aged 65 and older and scored them on (X) how fulfilling they feel their lives have been and (Y) how much they fear death (both variables scored on a scale from 1 to 10, with a higher score indicating more fulfillment and more fear):
X Y
7……………………………. 4
5……………………………. 6
2……………………………. 8
9……………………………. 2
2……………………………. 7
10……………………………. 3
6……………………………. 3
a. Draw a scatter plot of the data.
b. Calculate the regression slope and Y-intercept.
c. Draw the regression line on the scatter plot.
d. Predict how fearful of death a person would be if she scored a 3 on life fulfillment.
e. Find the coefficients of determination and nondetermination. What do they mean?