solving problems
Q5. Phillips Curve
| Period | Unemployment rate(x) | CPI growth (pi) | natural rate unemployment(UEN) | growth rate in oil prices | ||||||
| 1960-01-01 | 5.1 | 1.39344 | 5.5 | 0.0 | ||||||
| 1960-04-01 | 5.2 | 1.82488 | 5.5 | 0.0 | ||||||
| 1960-07-01 | 5.5 | 1.35992 | 5.5 | 0.0 | ||||||
| 1960-10-01 | 6.3 | 1.39598 | 5.5 | 0.0 | ||||||
| 1961-01-01 | 6.8 | 1.50696 | 5.5 | 0.0 | ||||||
| 1961-04-01 | 7.0 | 0.86904 | 5.5 | 0.0 | ||||||
| 1961-07-01 | 6.8 | 1.20649 | 5.5 | 0.0 | ||||||
| 1961-10-01 | 6.2 | 0.70517 | 5.5 | 0.0 | ||||||
| 1962-01-01 | 5.6 | 0.89477 | 5.5 | 0.0 | ||||||
| 1962-04-01 | 5.5 | 1.30741 | 5.5 | 0.0 | ||||||
| 1962-07-01 | 5.6 | 1.20212 | 5.5 | 0.0 | ||||||
| 1962-10-01 | 5.5 | 1.30043 | 5.5 | 0.0 | ||||||
| 1963-01-01 | 5.8 | 1.22895 | 5.5 | 0.0 | ||||||
| 1963-04-01 | 5.7 | 1.03574 | 5.5 | 0.0 | ||||||
| 1963-07-01 | 5.5 | 1.36272 | 5.6 | 0.0 | ||||||
| 1963-10-01 | 5.6 | 1.39236 | 5.6 | 0.0 | ||||||
| 1964-01-01 | 5.5 | 1.48637 | 5.6 | 0.0 | ||||||
| 1964-04-01 | 5.2 | 1.46399 | 5.6 | 0.0 | ||||||
| 1964-07-01 | 5.0 | 1.07422 | 5.6 | -1.7 | ||||||
| 1964-10-01 | 5.0 | 1.26611 | 5.6 | 0.0 | ||||||
| 1965-01-01 | 4.9 | 1.16392 | 5.6 | 0.0 | ||||||
| 1965-04-01 | 4.7 | 1.64622 | 5.7 | 0.0 | ||||||
| 1965-07-01 | 4.4 | 1.71659 | 5.7 | 0.0 | ||||||
| 1965-10-01 | 4.1 | 1.78566 | 5.7 | 0.0 | ||||||
| 1966-01-01 | 3.9 | 2.4193 | 5.7 | 0.0 | ||||||
| 1966-04-01 | 3.8 | 2.68974 | 5.8 | 0.0 | ||||||
| 1966-07-01 | 3.8 | 3.27391 | 5.8 | 0.6 | ||||||
| 1966-10-01 | 3.7 | 3.5685 | 5.8 | 1.1 | ||||||
| 1967-01-01 | 3.8 | 2.87078 | 5.8 | 0.7 | ||||||
| 1967-04-01 | 3.8 | 2.56672 | 5.8 | 0.3 | ||||||
| 1967-07-01 | 3.8 | 2.70718 | 5.8 | 1.6 | ||||||
| 1967-10-01 | 3.9 | 2.99243 | 5.8 | 0.8 | ||||||
| 1968-01-01 | 3.7 | 3.7401 | 5.8 | 0.0 | ||||||
| 1968-04-01 | 3.6 | 4.11855 | 5.8 | 0.0 | ||||||
| 1968-07-01 | 3.5 | 4.47761 | 5.8 | 0.0 | ||||||
| 1968-10-01 | 3.4 | 4.62397 | 5.8 | 0.0 | ||||||
| 1969-01-01 | 3.4 | 4.87427 | 5.8 | 2.0 | ||||||
| 1969-04-01 | 3.4 | 5.50198 | 5.8 | 7.0 | ||||||
| 1969-07-01 | 3.6 | 5.52286 | 5.9 | 0.0 | ||||||
| 1969-10-01 | 3.6 | 5.83355 | 5.9 | 0.0 | ||||||
| 1970-01-01 | 4.2 | 6.22578 | 5.9 | 0.0 | ||||||
| 1970-04-01 | 4.8 | 6.03848 | 5.9 | 0.0 | ||||||
| 1970-07-01 | 5.2 | 5.68597 | 5.9 | -1.2 | ||||||
| 1970-10-01 | 5.8 | 5.6 | 5.9 | 2.5 | ||||||
| 1971-01-01 | 5.9 | 4.81102 | 5.9 | 4.9 | ||||||
| 1971-04-01 | 5.9 | 4.31496 | 5.9 | 0.0 | ||||||
| 1971-07-01 | 6.0 | 4.27075 | 6.0 | 0.0 | ||||||
| 1971-10-01 | 5.9 | 3.53535 | 6.0 | 0.0 | ||||||
| 1972-01-01 | 5.8 | 3.50587 | 6.0 | 0.0 | ||||||
| 1972-04-01 | 5.7 | 3.22581 | 6.0 | 0.0 | ||||||
| 1972-07-01 | 5.6 | 3.02948 | 6.1 | 0.0 | ||||||
| 1972-10-01 | 5.4 | 3.33415 | 6.1 | 0.0 | ||||||
| 1973-01-01 | 4.9 | 4.11294 | 6.1 | 0.0 | ||||||
| 1973-04-01 | 4.9 | 5.60817 | 6.1 | 0.0 | ||||||
| 1973-07-01 | 4.8 | 6.8371 | 6.1 | 14.0 | ||||||
| 1973-10-01 | 4.8 | 8.41693 | 6.2 | 6.2 | ||||||
| 1974-01-01 | 5.1 | 9.91565 | 6.2 | 134.6 | ||||||
| 1974-04-01 | 5.2 | 10.54788 | 6.2 | 0.0 | ||||||
| 1974-07-01 | 5.6 | 11.45759 | 6.2 | 0.0 | ||||||
| 1974-10-01 | 6.6 | 12.04798 | 6.2 | 10.4 | ||||||
| 1975-01-01 | 8.3 | 11.13531 | 6.2 | 0.0 | ||||||
| 1975-04-01 | 8.9 | 9.5394 | 6.2 | 0.0 | ||||||
| 1975-07-01 | 8.5 | 8.67963 | 6.2 | 0.0 | ||||||
| 1975-10-01 | 8.3 | 7.38337 | 6.2 | 0.0 | ||||||
| 1976-01-01 | 7.7 | 6.34048 | 6.2 | 5.4 | ||||||
| 1976-04-01 | 7.6 | 6.01504 | 6.2 | 3.5 | ||||||
| 1976-07-01 | 7.7 | 5.58903 | 6.2 | 4.7 | ||||||
| 1976-10-01 | 7.8 | 5.18573 | 6.2 | 9.0 | ||||||
| 1977-01-01 | 7.5 | 5.9034 | 6.2 | 0.0 | ||||||
| 1977-04-01 | 7.1 | 6.7961 | 6.2 | 0.0 | ||||||
| 1977-07-01 | 6.9 | 6.57417 | 6.2 | 4.6 | ||||||
| 1977-10-01 | 6.7 | 6.59522 | 6.3 | 2.2 | ||||||
| 1978-01-01 | 6.3 | 6.47466 | 6.3 | 0.0 | ||||||
| 1978-04-01 | 6.0 | 7.02937 | 6.3 | 0.0 | ||||||
| 1978-07-01 | 6.0 | 8.02397 | 6.3 | 0.0 | ||||||
| 1978-10-01 | 5.9 | 8.92895 | 6.3 | 0.0 | ||||||
| 1979-01-01 | 5.9 | 9.78376 | 6.3 | 4.5 | ||||||
| 1979-04-01 | 5.7 | 10.75434 | 6.3 | 14.0 | ||||||
| 1979-07-01 | 5.9 | 11.72253 | 6.3 | 44.7 | ||||||
| 1979-10-01 | 6.0 | 12.64148 | 6.2 | 20.5 | ||||||
| 1980-01-01 | 6.3 | 14.20954 | 6.2 | 16.2 | ||||||
| 1980-04-01 | 7.3 | 14.42577 | 6.2 | 10.2 | ||||||
| 1980-07-01 | 7.7 | 12.93487 | 6.2 | -4.2 | ||||||
| 1980-10-01 | 7.4 | 12.53929 | 6.2 | -4.0 | ||||||
| 1981-01-01 | 7.4 | 11.26112 | 6.2 | 4.6 | ||||||
| 1981-04-01 | 7.4 | 9.87393 | 6.2 | -1.8 | ||||||
| 1981-07-01 | 7.4 | 10.85387 | 6.2 | -3.6 | ||||||
| 1981-10-01 | 8.2 | 9.58313 | 6.2 | -1.9 | ||||||
| 1982-01-01 | 8.8 | 7.58191 | 6.1 | -11.4 | ||||||
| 1982-04-01 | 9.4 | 6.90677 | 6.1 | 11.2 | ||||||
| 1982-07-01 | 9.9 | 5.81573 | 6.1 | -0.7 | ||||||
| 1982-10-01 | 10.7 | 4.44293 | 6.1 | -2.1 | ||||||
| 1983-01-01 | 10.4 | 3.59408 | 6.1 | -12.4 | ||||||
| 1983-04-01 | 10.1 | 3.29905 | 6.1 | 3.0 | ||||||
| 1983-07-01 | 9.4 | 2.52681 | 6.1 | 3.4 | ||||||
| 1983-10-01 | 8.5 | 3.23384 | 6.1 | -5.5 | ||||||
| 1984-01-01 | 7.9 | 4.62551 | 6.1 | 1.2 | ||||||
| 1984-04-01 | 7.4 | 4.40519 | 6.1 | 0.6 | ||||||
| 1984-07-01 | 7.4 | 4.2957 | 6.0 | -4.2 | ||||||
| 1984-10-01 | 7.3 | 4.1543 | 6.0 | -5.7 | ||||||
| 1985-01-01 | 7.2 | 3.64175 | 6.0 | -1.4 | ||||||
| 1985-04-01 | 7.3 | 3.60676 | 6.0 | 3.0 | ||||||
| 1985-07-01 | 7.2 | 3.35249 | 6.0 | -0.2 | ||||||
| 1985-10-01 | 7.0 | 3.51377 | 6.0 | 5.0 | ||||||
| 1986-01-01 | 7.0 | 3.10539 | 6.0 | -41.8 | ||||||
| 1986-04-01 | 7.2 | 1.67859 | 6.0 | -19.5 | ||||||
| 1986-07-01 | 7.0 | 1.66821 | 6.0 | -0.4 | ||||||
| 1986-10-01 | 6.8 | 1.34587 | 6.0 | 11.6 | ||||||
| 1987-01-01 | 6.6 | 2.03802 | 6.0 | 18.4 | ||||||
| 1987-04-01 | 6.3 | 3.6998 | 6.0 | 6.4 | ||||||
| 1987-07-01 | 6.0 | 4.16317 | 6.0 | 5.2 | ||||||
| 1987-10-01 | 5.8 | 4.40494 | 6.0 | -8.6 | ||||||
| 1988-01-01 | 5.7 | 3.96512 | 5.9 | -10.6 | ||||||
| 1988-04-01 | 5.5 | 3.97994 | 5.9 | 3.4 | ||||||
| 1988-07-01 | 5.5 | 4.14205 | 5.9 | -12.0 | ||||||
| 1988-10-01 | 5.3 | 4.30666 | 5.9 | -2.8 | ||||||
| 1989-01-01 | 5.2 | 4.67509 | 5.9 | 25.4 | ||||||
| 1989-04-01 | 5.2 | 5.15961 | 5.9 | 10.2 | ||||||
| 1989-07-01 | 5.2 | 4.70588 | 5.9 | -5.4 | ||||||
| 1989-10-01 | 5.4 | 4.6276 | 5.9 | 5.4 | ||||||
| 1990-01-01 | 5.3 | 5.23231 | 5.9 | 7.1 | ||||||
| 1990-04-01 | 5.3 | 4.58373 | 5.9 | -18.4 | ||||||
| 1990-07-01 | 5.7 | 5.56421 | 5.9 | 47.6 | ||||||
| 1990-10-01 | 6.1 | 6.27647 | 5.8 | 22.4 | ||||||
| 1991-01-01 | 6.6 | 5.25958 | 5.8 | -31.5 | ||||||
| 1991-04-01 | 6.8 | 4.84687 | 5.8 | -5.5 | ||||||
| 1991-07-01 | 6.9 | 3.85227 | 5.8 | 4.2 | ||||||
| 1991-10-01 | 7.1 | 2.96486 | 5.7 | 0.6 | ||||||
| 1992-01-01 | 7.4 | 2.89388 | 5.7 | -13.2 | ||||||
| 1992-04-01 | 7.6 | 3.07302 | 5.7 | 12.3 | ||||||
| 1992-07-01 | 7.6 | 3.07467 | 5.6 | 2.1 | ||||||
| 1992-10-01 | 7.4 | 3.12198 | 5.6 | -5.5 | ||||||
| 1993-01-01 | 7.1 | 3.17307 | 5.6 | -3.2 | ||||||
| 1993-04-01 | 7.1 | 3.12525 | 5.5 | -0.5 | ||||||
| 1993-07-01 | 6.8 | 2.81747 | 5.5 | -9.8 | ||||||
| 1993-10-01 | 6.6 | 2.76978 | 5.5 | -7.7 | ||||||
| 1994-01-01 | 6.6 | 2.53937 | 5.4 | -9.7 | ||||||
| 1994-04-01 | 6.2 | 2.38237 | 5.4 | 20.2 | ||||||
| 1994-07-01 | 6.0 | 2.85493 | 5.4 | 3.6 | ||||||
| 1994-10-01 | 5.6 | 2.60333 | 5.4 | -4.5 | ||||||
| 1995-01-01 | 5.5 | 2.84049 | 5.3 | 4.2 | ||||||
| 1995-04-01 | 5.7 | 3.09558 | 5.3 | 5.2 | ||||||
| 1995-07-01 | 5.7 | 2.6642 | 5.3 | -7.6 | ||||||
| 1995-10-01 | 5.6 | 2.62608 | 5.3 | 1.5 | ||||||
| 1996-01-01 | 5.5 | 2.78391 | 5.2 | 9.0 | ||||||
| 1996-04-01 | 5.5 | 2.82709 | 5.2 | 9.9 | ||||||
| 1996-07-01 | 5.3 | 2.89991 | 5.2 | 2.9 | ||||||
| 1996-10-01 | 5.3 | 3.23162 | 5.2 | 10.3 | ||||||
| 1997-01-01 | 5.2 | 2.94453 | 5.2 | -7.2 | ||||||
| 1997-04-01 | 5.0 | 2.30179 | 5.1 | -12.8 | ||||||
| 1997-07-01 | 4.9 | 2.22505 | 5.1 | -0.6 | ||||||
| 1997-10-01 | 4.7 | 1.89075 | 5.1 | 0.8 | ||||||
| 1998-01-01 | 4.6 | 1.48278 | 5.1 | -20.1 | ||||||
| 1998-04-01 | 4.4 | 1.58313 | 5.1 | -8.2 | ||||||
| 1998-07-01 | 4.5 | 1.59639 | 5.1 | -2.9 | ||||||
| 1998-10-01 | 4.4 | 1.52536 | 5.1 | -9.1 | ||||||
| 1999-01-01 | 4.3 | 1.68704 | 5.0 | 1.9 | ||||||
| 1999-04-01 | 4.3 | 2.1128 | 5.0 | 34.0 | ||||||
| 1999-07-01 | 4.2 | 2.34625 | 5.0 | 23.1 | ||||||
| 1999-10-01 | 4.1 | 2.61983 | 5.0 | 13.3 | ||||||
| 2000-01-01 | 4.0 | 3.258 | 5.0 | 17.5 | ||||||
| 2000-04-01 | 3.9 | 3.29343 | 5.0 | 0.1 | ||||||
| 2000-07-01 | 4.0 | 3.4689 | 5.0 | 9.4 | ||||||
| 2000-10-01 | 3.9 | 3.44351 | 5.0 | 1.4 | ||||||
| 2001-01-01 | 4.2 | 3.40976 | 5.0 | -10.3 | ||||||
| 2001-04-01 | 4.4 | 3.32491 | 5.0 | -2.9 | ||||||
| 2001-07-01 | 4.8 | 2.67803 | 5.0 | -4.4 | ||||||
| 2001-10-01 | 5.5 | 1.87508 | 5.0 | -23.2 | ||||||
| 2002-01-01 | 5.7 | 1.23195 | 5.0 | 5.6 | ||||||
| 2002-04-01 | 5.8 | 1.31765 | 5.0 | 21.4 | ||||||
| 2002-07-01 | 5.7 | 1.57628 | 5.0 | 7.8 | ||||||
| 2002-10-01 | 5.9 | 2.25352 | 5.0 | -0.1 | ||||||
| 2003-01-01 | 5.9 | 2.97641 | 5.0 | 20.3 | ||||||
| 2003-04-01 | 6.1 | 2.00594 | 5.0 | -14.9 | ||||||
| 2003-07-01 | 6.1 | 2.21689 | 5.0 | 4.3 | ||||||
| 2003-10-01 | 5.8 | 2.00165 | 5.0 | 3.1 | ||||||
| 2004-01-01 | 5.7 | 1.81767 | 5.0 | 13.4 | ||||||
| 2004-04-01 | 5.6 | 2.78587 | 5.0 | 8.4 | ||||||
| 2004-07-01 | 5.4 | 2.67523 | 5.0 | 14.5 | ||||||
| 2004-10-01 | 5.4 | 3.38513 | 5.0 | 10.0 | ||||||
| 2005-01-01 | 5.3 | 3.03535 | 5.0 | 3.3 | ||||||
| 2005-04-01 | 5.1 | 2.92294 | 5.0 | 6.4 | ||||||
| 2005-07-01 | 5.0 | 3.81957 | 5.0 | 19.2 | ||||||
| 2005-10-01 | 5.0 | 3.6745 | 5.0 | -5.2 | ||||||
| 2006-01-01 | 4.7 | 3.69086 | 5.0 | 5.4 | ||||||
| 2006-04-01 | 4.6 | 3.92426 | 5.0 | 11.4 | ||||||
| 2006-07-01 | 4.6 | 3.34028 | 5.0 | 0.0 | ||||||
| 2006-10-01 | 4.4 | 1.9654 | 5.0 | -15.0 | ||||||
| 2007-01-01 | 4.5 | 2.43148 | 5.0 | -3.1 | ||||||
| 2007-04-01 | 4.5 | 2.66512 | 4.9 | 11.9 | ||||||
| 2007-07-01 | 4.7 | 2.34881 | 4.9 | 15.8 | ||||||
| 2007-10-01 | 4.8 | 4.03147 | 4.9 | 20.4 | ||||||
| 2008-01-01 | 5.0 | 4.1372 | 4.9 | 8.0 | ||||||
| 2008-04-01 | 5.3 | 4.31058 | 5.0 | 26.5 | ||||||
| 2008-07-01 | 6.0 | 5.2525 | 5.0 | -4.4 | ||||||
| 2008-10-01 | 6.9 | 1.5958 | 5.1 | -50.4 | ||||||
| 2009-01-01 | 8.3 | -0.18424 | 5.2 | -26.5 | ||||||
| 2009-04-01 | 9.3 | -0.94229 | 5.3 | 38.2 | ||||||
| 2009-07-01 | 9.6 | -1.60696 | 5.4 | 14.3 | ||||||
| 2009-10-01 | 9.9 | 1.4875 | 5.5 | 11.5 | ||||||
| 2010-01-01 | 9.8 | 2.35241 | 5.7 | 3.7 | ||||||
| 2010-04-01 | 9.6 | 1.77512 | 5.7 | -1.3 | ||||||
| 2010-07-01 | 9.5 | 1.20273 | 5.7 | -2.3 | ||||||
| 2010-10-01 | 9.5 | 1.22978 | 5.8 | 12.0 | ||||||
| 2011-01-01 | 9.0 | 2.14837 | 5.8 | 10.5 | ||||||
| 2011-04-01 | 9.1 | 3.34611 | 5.8 | 8.5 | ||||||
| 2011-07-01 | 9.0 | 3.71626 | 5.9 | -12.3 | ||||||
| 2011-10-01 | 8.6 | 3.34458 | 5.9 | 5.1 | ||||||
| 2012-01-01 | 8.3 | 2.85214 | 5.8 | 9.5 | ||||||
| 2012-04-01 | 8.2 | 1.90143 | 5.8 | -9.4 | ||||||
| 2012-07-01 | 8.0 | 1.65286 | 5.7 | -1.2 | ||||||
| 2012-10-01 | 7.8 | 1.91811 | 5.7 | -4.5 | ||||||
| 2013-01-01 | 7.7 | 1.72653 | 5.5 | 7.2 | ||||||
| 2013-04-01 | 7.5 | 1.3975 | 5.4 | -0.3 | ||||||
| 2013-07-01 | 7.3 | 1.4989 | 5.3 | 12.5 | ||||||
| 2013-10-01 | 6.9 | 1.24588 | 5.2 | -7.9 | ||||||
| 2014-01-01 | 6.7 | 1.4338 | 5.1 | 1.2 | ||||||
| 2014-04-01 | 6.2 | 2.04063 | 5.0 | 4.7 | ||||||
| 2014-07-01 | 6.1 | 1.75719 | 4.9 | -5.3 | ||||||
| 2014-10-01 | 5.7 | 1.2122 | 4.9 | -25.2 | ||||||
| 2015-01-01 | 5.6 | -0.10269 | 4.9 | -33.8 | ||||||
| 2015-04-01 | 5.4 | 0.02576 | 4.9 | 19.3 | ||||||
| 2015-07-01 | 5.2 | 0.13948 | 4.9 | -19.6 | ||||||
| 2015-10-01 | 5.0 | 0.40991 | 4.9 | -9.8 | ||||||
| 2016-01-01 | 4.9 | 1.06283 | 4.9 | -20.5 | ||||||
| 2016-04-01 | 4.9 | 1.08811 | 4.8 | 36.3 |