Select a current price that you have seen or paid recently for gas. Is that price within the range of the linear regression line or is it an outlier? Is it within the confidence interval of 5% or either end?

Calculate the mean yearly value using the average gas prices by month found in the next table:

Series Id: APU000074714

Area: U.S. city average

Item: Gasoline, unleaded regular, per gallon/3.785 liters

Years: 1982 to 2011

Year Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Mean

1982 1.358 1.334 1.284 1.225 1. 237 1.309 1.331 1.323 1.307 1.295 1.283 1.260 1.296

1983 1.230 1.187 1.152 1.215 1.259 1.277 1.288 1.285 1.274 1.255 1.241 1.231 1.241

1984 1.216 1.209 1.210 1.227 1.236 1.229 1.212 1.196 1.203 1.209 1.207 1.193 1.212

1985 1.148 1.131 1.159 1.205 1.231 1.241 1.242 1.229 1.216 1.204 1.207 1.208 1.202

1986 1.194 1.120 0.981 0.888 0.923 0.955 0.890 0.843 0.860 0.831 0.821 0.823 0.927

1987 0.862 0.905 0.912 0.934 0.941 0.958 0.971 0.995 0.990 0.976 0.976 0.961 0.948

1988 0.933 0.913 0.904 0.930 0.955 0.955 0.967 0.987 0.974 0.957 0.949 0.930 0.946

1989 0.918 0.926 0.940 1.065 1.119 1.114 1.092 1.057 1.029 1.027 0.999 0.980 1.022

1990 1.042 1.037 1.023 1.044 1.061 1.088 1.084 1.190 1.294 1.378 1.377 1.354 1.164

1991 1.247 1.143 1.082 1.104 1.156 1.160 1.127 1.140 1.143 1.122 1.134 1.123 1.140

1992 1.073 1.054 1.058 1.079 1.136 1.179 1.174 1.158 1.158 1.154 1.159 1.136 1.127

1993 1.117 1.108 1.098 1.112 1.129 1.130 1.109 1.097 1.085 1.127 1.113 1.070 1.108

1994 1.043 1.051 1.045 1.064 1.080 1.106 1.136 1.182 1.177 1.152 1.163 1.143 1.112

1995 1.129 1.120 1.115 1.140 1.200 1.226 1.195 1.164 1.148 1.127 1.101 1.101 1.147

1996 1.129 1.124 1.162 1.251 1.323 1.299 1.272 1.240 1.234 1.227 1.250 1.260 1.231

1997 1.261 1.255 1.235 1.231 1.226 1.229 1.205 1.253 1.277 1.242 1.213 1.177 1.234

1998 1.131 1.082 1.041 1.052 1.092 1.094 1.079 1.052 1.033 1.042 1.028 0.986 1.059

1999 0.972 0.955 0.991 1.177 1.178 1.148 1.189 1.255 1.280 1.274 1.264 1.298 1.165

2000 1.301 1.369 1.541 1.506 1.498 1.617 1.593 1.510 1.582 1.559 1.555 1.489 1.510

2001 1.472 1.484 1.447 1.564 1.729 1.640 1.482 1.427 1.531 1.362 1.263 1.131 1.461

2002 1.139 1.130 1.241 1.407 1.421 1.404 1.412 1.423 1.422 1.449 1.448 1.394 1.358

2003 1.473 1.641 1.748 1.659 1.542 1.514 1.524 1.628 1.728 1.603 1.535 1.494 1.591

2004 1.592 1.672 1.766 1.833 2.009 2.041 1.939 1.898 1.891 2.029 2.010 1.882 1.880

2005 1.823 1.918 2.065 2.283 2.216 2.176 2.316 2.506 2.927 2.785 2.343 2.186 2.295

2006 2.315 2.310 2.401 2.757 2.947 2.917 2.999 2.985 2.589 2.272 2.241 2.334 2.589

2007 2.274 2.285 2.592 2.860 3.130 3.052 2.961 2.782 2.789 2.793 3.069 3.020 2.801

2008 3.047 3.033 3.258 3.441 3.764 4.065 4.090 3.786 3.698 3.173 2.151 1.689 3.266

2009 1.787 1.928 1.949 2.056 2.265 2.631 2.543 2.627 2.574 2.561 2.660 2.621 2.350

2010 2.731 2.659 2.780 2.858 2.869 2.736 2.736 2.745 2.704 2.795 2.852 2.985 2.788

2011 3.091 3.167 0.522

2. Using the years as your x-axis and the annual mean as your y-axis, create

o a scatter plot and

o a linear regression line.

o What is the equation of the linear regression line in slope-intercept form?

o Based on the linear regression line, what would be an estimated cost of gas in the year 2020?

o What are the residuals of each year?

o Select a current price that you have seen or paid recently for gas. Is that price within the range of the linear regression line or is it an outlier? Is it within the confidence interval of 5% or either end?

3. Answer the following questions using your scatter plot and linear regression line:

o What is the slope of the linear regression line?

o What is the Y-intercept of the linear regression line?

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