# Question: A computer center recorded the number of programs it maintained

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.

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.

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