Homework SourseBradford Electric Illuminating Company is studying the relat
Bradford Electric Illuminating Company is studying the relationship between kilowatt-hours (thousands) used and the number of rooms in a private single-family residence. A random sample of 10 homes yielded the following.
Determine the .95 confidence interval, in thousands of kilowatt-hours, for the mean of all six-room homes. (Do not round intermediate calculations. Round your final answers to 4 decimal places.)
Determine the .95 prediction interval, in thousands of kilowatt-hours, for a particular six-room home. (Do not round intermediate calculations. Round your final answers to 4 decimal places.)
| Number of Rooms | Kilowatt-Hours (thousands) | Number of Rooms | Kilowatt-Hours (thousands) | ||||
| 12 | 9 | 8 | 6 | ||||
| 9 | 7 | 10 | 8 | ||||
| 14 | 10 | 10 | 10 | ||||
| 6 | 5 | 5 | 4 | ||||
| 10 | 8 | 7 | 7 | ||||
Solution
The 10 pairs, given the number of rooms (x) and number of kilowatt-hours (y) are:
(12,9); (8,6); (9,7); (10,8); (14,10); (10,10); (6,5); (5,4); (10,8); (7,7)
The equation for linear regression is given by:
y = ax + b
where \"a\" is determined from:
a = [(?xy)N - (?x)(?y)]/[(?x
