In: Statistics and Probability
Year |
Number of Alternative-Fueled Vehicles in US |
2000 |
394,664 |
2001 |
425,457 |
2002 |
471,098 |
2003 |
533,999 |
2004 |
565,492 |
2005 |
592,125 |
2006 |
634,562 |
2007 |
695,766 |
3. Find the correlation and regression lines for the data above.
r=
LinReg(ax+b)=
Year (X) | Vehicles (Y) | X * Y | |||
2000 | 394664 | 7.89E+08 | 4000000 | 1.56E+11 | |
2001 | 425457 | 8.51E+08 | 4004001 | 1.81E+11 | |
2002 | 471098 | 9.43E+08 | 4008004 | 2.22E+11 | |
2003 | 533999 | 1.07E+09 | 4012009 | 2.85E+11 | |
2004 | 565492 | 1.13E+09 | 4016016 | 3.2E+11 | |
2005 | 592125 | 1.19E+09 | 4020025 | 3.51E+11 | |
2006 | 634562 | 1.27E+09 | 4024036 | 4.03E+11 | |
2007 | 695766 | 1.4E+09 | 4028049 | 4.84E+11 | |
Total | 16028 | 4313163 | 8.64E+09 | 32112140 | 2.4E+12 |
Correlation
r = 0.996
Equation of regression line is
b = 42235.869
a =( 4313163 - ( 42235.869 * 16028 ) ) / 8
a = -84080418.262
Equation of regression line becomes