A developmental psychologist tests the extent to which birth order predicts the amount of attention a child receives from his or her parents. The psychologist records the time (in minutes) that parents spend with their children during a 20-minute session. All children are the same age at the time of this test. The hypothetical data are listed in the following table.
Birth Order _____________________ Time Attending to the Child
____X___________________________________Y____________
1 .....................................................12
1 .....................................................14
5 ..................................................... 9
2 .....................................................10
3 .....................................................15
2 .....................................................16
4 ..................................................... 8
5 ..................................................... 7
(a) Compute the method of least squares to find the equation of the regression line.
(b) Use this regression equation to determine the predicted amount of time a parent spends with his or her second-born child.