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In an attempt to determine the factors that affect the amount of energy used, 200 households...

In an attempt to determine the factors that affect the amount of energy used, 200 households were analysed. In each, the number of occupants and the amount of electricity used (watt-hours) were measured. The estimated linear regression equation describing the relationship between the Amount of energy used (y) and the Number of occupants (x) is given by y^ = 458.9 + 64x. Forecast the amount of energy used (in watt-hours) in a household with 4 occupants (x = 4):

a.

458.9
b.

714.9
c.

64
d.

2091.6
math   Statistics-And-Probability   
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Answer #1

Solution:

The estimated linear regression equation is

  y^ = 458.9 + 64x

Put x = 4 in this equation.

   y^ = 458.9 + (64 * 4)

= 458.9 + 256

= 714.9

Answer is option b. 714.9

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