Question

In: Statistics and Probability

Delmarva Power is a utility company that would like to predict the monthly heating bill for...

Delmarva Power is a utility company that would like to predict the monthly heating bill for a household in Kent County during the month of January. A random sample of 18 households in the county were selected and their January heating bill recorded. This data is shown in the table below along with the square footage of the house (SF), the age of the heating system in years (Age,) and the type of heating system (heat pump = 1 or natural gas = 0).

Household

Bill

SF

Age

Type

1

$255

2,070

7

Natural Gas

2

$286

1,909

17

Natural Gas

3

$296

2,004

8

Natural Gas

4

$300

2,307

22

Natural Gas

5

$305

3,021

5

Natural Gas

6

$317

2,683

14

Natural Gas

7

$321

1,511

8

Natural Gas

8

$321

2,836

3

Natural Gas

9

$339

2,553

20

Natural Gas

10

$349

2,497

11

Natural Gas

11

$369

2,103

12

Heat Pump

12

$374

2,486

18

Heat Pump

13

$381

2,279

19

Heat Pump

14

$413

2,477

17

Heat Pump

15

$419

3,218

11

Heat Pump

16

$441

3,080

8

Heat Pump

17

$522

2,507

20

Heat Pump

18

$560

3,517

18

Heat Pump

Determine and Interpret the meaning of the regression coefficients for the heating bill model.

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