Bradford Electric Illuminating Company is studying the relationship between kilo

Question

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

Explanation / Answer

  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

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