Average gas prices
Columbia, SC
Year Gas Price
2002 $0.70
2003 $1.04
2004 $1.15
2005 $1.38
2006 $1.86
2007 $1.70
2008 $2.55
2009 $1.29
2010 $2.22
2011 $2.56
Cabs use a valuable commodity-gas!
List the domain of the linear regression equation in interval notation. Round to the nearest thousandth if needed.
To find the domain of the linear regression equation based on this dataset, we need to identify the range of years provided in the dataset. The domain consists of the input values, which are the years in this case, that the equation will use to predict the corresponding gas prices.
From the data provided:
Lowest year (initial value): 2002
Highest year (final value): 2011
Now, we traditionally represent domain in interval notation with the lowest value first, followed by the highest value. For years, we don't need to round to the nearest thousandth (as that would imply precision to a fraction of a year, which doesn't make sense in the context of this data), so we would simply use the whole numbers.
The domain in interval notation would be:
[2002, 2011]
This means that the linear regression equation is intended to make predictions on gas prices for the years ranging from 2002 to 2011.