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Calculate the mean yearly value...

Calculate the mean yearly value using the average gas prices by month found in the “Final Project Data Set.”

Using the years as your x-axis and the annual mean as your y-axis, create a scatterplot and a linear regression line.

Answer the following questions using your scatterplot and linear regression line:

What is the slope of the linear regression line?

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

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

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

Consumer Price Index - Average Price Data

Original Data Value

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 Annual

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

2011 3.091 3.167

From http://data.bls.gov/cgi-bin/surveymost?ap

What are the residuals of each year?

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?

Using the years as your x-axis and the annual mean as your y-axis, create a scatterplot and a linear regression line.

Answer the following questions using your scatterplot and linear regression line:

What is the slope of the linear regression line?

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

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

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

Consumer Price Index - Average Price Data

Original Data Value

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 Annual

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

2011 3.091 3.167

From http://data.bls.gov/cgi-bin/surveymost?ap

What are the residuals of each year?

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?

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