Question
3.36 Table B.25 contains data from the National Highway Traffic Safety Administration on motor vehicle fatalities from 1966 to 2012, along with several other variables.
3.36 Table B.25 contains data from the National Highway Traffic Safety Administration on motor vehicle fatalities from 1966 to 2012, along with several other variables. These data are used by a variety of governmental and industry groups, as well as research organizations. a. Plot the fatalities data. Comment on the graph. b. Construct a scatter plot of fatalities versus number of licensed drivers. Comment on the apparent relationship between these two factors. c. Fit a simple linear regression model to the fatalities data, using the number of licensed drivers as the predictor variable. Discuss the summary statistics from this model. d. Analyze the residuals from the model in part c. Discuss the adequacy of the fitted model. e. Calculate the Durbin-Watson test statistic for the model in part c. Is there evidence of autocorrelation in the residuals? Is a time series regression model more appropriate than an OLS model for these data
Year | Fatalities | Resident Population (Thousands) | Licensed Drivers (Thousands) | Registered Motor Vehicles (Thousands) | Vehicle Miles Traveled (Billions) | Annual Unemployment Rate (%) |
1966 | 50894.00 | 196560.00 | 100998.00 | 95703.00 | 926.00 | 3.80 |
1967 | 50724.00 | 198712.00 | 103172.00 | 98859.00 | 964.00 | 3.80 |
1968 | 52725.00 | 200706.00 | 105410.00 | 102987.00 | 1016.00 | 3.60 |
1969 | 53543.00 | 202677.00 | 108306.00 | 107412.00 | 1062.00 | 3.50 |
1970 | 52627.00 | 205052.00 | 111543.00 | 111242.00 | 1110.00 | 4.90 |
1971 | 52542.00 | 207661.00 | 114426.00 | 116330.00 | 1179.00 | 5.90 |
1972 | 54589.00 | 209896.00 | 118414.00 | 122557.00 | 1260.00 | 5.60 |
1973 | 54052.00 | 211909.00 | 121546.00 | 130025.00 | 1313.00 | 4.90 |
1974 | 45196.00 | 213854.00 | 125427.00 | 134900.00 | 1281.00 | 5.60 |
1975 | 44525.00 | 215973.00 | 129791.00 | 126153.00 | 1328.00 | 8.50 |
1976 | 45523.00 | 218035.00 | 134036.00 | 130793.00 | 1402.00 | 7.70 |
1977 | 47878.00 | 220239.00 | 138121.00 | 134514.00 | 1467.00 | 7.10 |
1978 | 50331.00 | 222585.00 | 140844.00 | 140374.00 | 1545.00 | 6.10 |
1979 | 51093.00 | 225055.00 | 143284.00 | 144317.00 | 1529.00 | 5.80 |
1980 | 51091.00 | 227225.00 | 145295.00 | 146845.00 | 1527.00 | 7.10 |
1981 | 49301.00 | 229466.00 | 147075.00 | 149330.00 | 1555.00 | 7.60 |
1982 | 43945.00 | 231664.00 | 150234.00 | 151148.00 | 1595.00 | 9.70 |
1983 | 42589.00 | 233792.00 | 154389.00 | 153830.00 | 1653.00 | 9.60 |
1984 | 44257.00 | 235825.00 | 155424.00 | 158900.00 | 1720.00 | 7.50 |
1985 | 43825.00 | 237924.00 | 156868.00 | 166047.00 | 1775.00 | 7.20 |
1986 | 46087.00 | 240133.00 | 159486.00 | 168545.00 | 1835.00 | 7.00 |
1987 | 46390.00 | 242289.00 | 161816.00 | 172750.00 | 1921.00 | 6.20 |
1988 | 47087.00 | 244499.00 | 162854.00 | 177455.00 | 2026.00 | 5.50 |
1989 | 45582.00 | 246819.00 | 165554.00 | 181165.00 | 2096.00 | 5.30 |
1990 | 44599.00 | 249464.00 | 167015.00 | 184275.00 | 2144.00 | 5.60 |
1991 | 41508.00 | 252153.00 | 168995.00 | 186370.00 | 2172.00 | 6.80 |
1992 | 39250.00 | 255030.00 | 173125.00 | 184938.00 | 2247.00 | 7.50 |
1993 | 40150.00 | 257783.00 | 173149.00 | 188350.00 | 2296.00 | 6.90 |
1994 | 40716.00 | 260327.00 | 175403.00 | 192497.00 | 2358.00 | 6.10 |
1995 | 41817.00 | 262803.00 | 176628.00 | 197065.00 | 2423.00 | 5.60 |
1996 | 42065.00 | 265229.00 | 179539.00 | 201631.00 | 2484.00 | 5.40 |
1997 | 42013.00 | 267784.00 | 182709.00 | 203568.00 | 2552.00 | 4.90 |
1998 | 41501.00 | 270248.00 | 184861.00 | 208076.00 | 2628.00 | 4.50 |
1999 | 41717.00 | 272691.00 | 187170.00 | 212685.00 | 2690.00 | 4.20 |
2000 | 41945.00 | 282162.00 | 190625.00 | 217028.00 | 2747.00 | 4.00 |
2001 | 42196.00 | 284969.00 | 191276.00 | 221230.00 | 2796.00 | 4.70 |
2002 | 43005.00 | 287625.00 | 194602.00 | 225685.00 | 2856.00 | 5.80 |
2003 | 42884.00 | 290108.00 | 196166.00 | 230633.00 | 2890.00 | 6.00 |
2004 | 42836.00 | 292805.00 | 198889.00 | 237949.00 | 2965.00 | 5.50 |
2005 | 43510.00 | 295517.00 | 200549.00 | 245628.00 | 2989.00 | 5.10 |
2006 | 42708.00 | 298380.00 | 202810.00 | 251415.00 | 3014.00 | 4.60 |
2007 | 41259.00 | 301231.00 | 205742.00 | 257472.00 | 3031.00 | 4.60 |
2008 | 37423.00 | 304094.00 | 208321.00 | 259360.00 | 2977.00 | 5.80 |
2009 | 33883.00 | 306772.00 | 209618.00 | 258958.00 | 2957.00 | 9.30 |
2010 | 32999.00 | 309326.00 | 210115.00 | 257312.00 | 2967.00 | 9.60 |
2011 | 32479.00 | 311588.00 | 211875.00 | 265043.00 | 2950.00 | 8.90 |
2012 | 33561.00 | 313914.00 | 211815.00 | 265647.00 | 2969.00 | 8.10 |
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