The number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings ("n millions) are shown in the table.
Construct and interpret a 95% prediction interval for the proceeds when the number of issues is 578. The equation of the regression line is y = 32.518x + 18,135.782.
Issues, x
|
420
|
456
|
680
|
494
|
497
|
377
|
65
|
72
|
196
|
162
|
Proceeds, y
|
19,476
|
29,693
|
43,699
|
31,663
|
37,271
|
36,694
|
21,820
|
11,700
|
30,579
|
29,943
|
Construct and interpret a 95% prediction interval fo the proceeds when the number of issues is 578.
Select the correct choice below and fill in the answer boxes to complete your choice. (Round to the nearest million dollars as needed.)
A We can be 95% confident that when there are 578 issues, the proceeds will be between $____ and $____
B There is a 95% chance that the predicted proceeds given 578 issues is between $____ and $____.