A computer center recorded the number of programs it maintained during each of 10 consecutive years.
Year Number of Programs
1 ........ 430
2 ........ 480
3 ........ 565
4 ........ 790
5 ........ 885
6 ........ 960
7 ........1200
8 ........1380
9 ........1530
10 ........1591
(a) Calculate the least squares regression line for the data shown.
(b) Plot the points and the line on the same graph.
(c) Find a 95% prediction interval for the number of programs in year 11 under the usual assumptions.