In: Statistics and Probability
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.