Question

The table shows the total square footage​ (in billions) of retailing space at shopping centers and their sales​ (in billions of​ dollars) for 10 years. Construct a​ 90% prediction interval for sales when the total square footage is

5.65.6

billion. The equation of the regression line is

ModifyingAbove y with caret equals 626.092 x minus 2290.110y=626.092x−2290.110.

Total Square​Footage, x	5.15.1	5.25.2	5.35.3	5.25.2	5.45.4	5.65.6	5.85.8	5.85.8	5.95.9	6.16.1
​Sales, y	867.3867.3	943.5943.5	995.9995.9	1055.91055.9	1111.71111.7	1209.11209.1	1286.61286.6	1341.41341.4	1429.81429.8	1543.21543.2

Construct a​ 90% prediction interval for the sales when the total square footage is

5.65.6

billion. Choose the correct prediction interval​ below, rounded to the nearest million dollars.

▼

less than<yless than<

▼

Interpret the prediction interval.

A.There is a​ 90% chance that the predicted sales given

5.65.6

billion square feet of shopping area is within the prediction interval.

B.A randomly selected year with

5.65.6

billion square feet of shopping area has a​ 90% probability of being within the prediction interval.

C.You can be​ 90% confident that the sales will be within the prediction interval when the total square footage is

5.65.6

billion square feet.  

Answer 1