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To better see how the growth rate evolves through time, plot the annualized growth rate of consumption expenditure. Describe what you see. Is it constant

To better see how the growth rate evolves through time, plot the annualized growth rate of consumption expenditure. Describe what you see. Is it constant on average?

Please use this data:

Year Quarter Expenditure
1950 1 998
1950 2 1023
1950 3 1077
1950 4 1077
1951 1 1034
1951 2 1044
1951 3 1097
1951 4 1148
1952 1 1100
1952 2 1056
1952 3 1099
1952 4 1086
1953 1 1073
1953 2 1088
1953 3 1051
1953 4 1076
1954 1 1037
1954 2 1078
1954 3 1049
1954 4 1126
1955 1 1071
1955 2 1116
1955 3 1174
1955 4 1152
1956 1 1076
1956 2 1106
1956 3 1087
1956 4 1151
1957 1 1038
1957 2 1117
1957 3 1142
1957 4 1175
1958 1 1132
1958 2 1198
1958 3 1196
1958 4 1121
1959 1 1084
1959 2 1179
1959 3 1163
1959 4 1132
1960 1 1113
1960 2 1114
1960 3 1151
1960 4 1236
1961 1 1158
1961 2 1199
1961 3 1166
1961 4 1226
1962 1 1144
1962 2 1227
1962 3 1188
1962 4 1207
1963 1 1168
1963 2 1185
1963 3 1219
1963 4 1250
1964 1 1197
1964 2 1272
1964 3 1270
1964 4 1246
1965 1 1153
1965 2 1269
1965 3 1258
1965 4 1287
1966 1 1176
1966 2 1268
1966 3 1198
1966 4 1276
1967 1 1210
1967 2 1184
1967 3 1212
1967 4 1226
1968 1 1177
1968 2 1307
1968 3 1266
1968 4 1289
1969 1 1171
1969 2 1198
1969 3 1184
1969 4 1246
1970 1 1243
1970 2 1316
1970 3 1264
1970 4 1297
1971 1 1206
1971 2 1224
1971 3 1265
1971 4 1273
1972 1 1187
1972 2 1251
1972 3 1252
1972 4 1259
1973 1 1263
1973 2 1281
1973 3 1270
1973 4 1252
1974 1 1251
1974 2 1295
1974 3 1279
1974 4 1329
1975 1 1264
1975 2 1298
1975 3 1338
1975 4 1344
1976 1 1326
1976 2 1302
1976 3 1269
1976 4 1305
1977 1 1303
1977 2 1276
1977 3 1312
1977 4 1323
1978 1 1323
1978 2 1264
1978 3 1333
1978 4 1360
1979 1 1338
1979 2 1353
1979 3 1367
1979 4 1329
1980 1 1252
1980 2 1303
1980 3 1302
1980 4 1352
1981 1 1349
1981 2 1390
1981 3 1333
1981 4 1386
1982 1 1322
1982 2 1348
1982 3 1377
1982 4 1381
1983 1 1323
1983 2 1352
1983 3 1328
1983 4 1416
1984 1 1296
1984 2 1339
1984 3 1341
1984 4 1399
1985 1 1332
1985 2 1402
1985 3 1368
1985 4 1403
1986 1 1349
1986 2 1410
1986 3 1376
1986 4 1360
1987 1 1291
1987 2 1386
1987 3 1435
1987 4 1342
1988 1 1339
1988 2 1406
1988 3 1413
1988 4 1441
1989 1 1364
1989 2 1401
1989 3 1429
1989 4 1475
1990 1 1387
1990 2 1401
1990 3 1445
1990 4 1440
1991 1 1385
1991 2 1408
1991 3 1473
1991 4 1449
1992 1 1466
1992 2 1448
1992 3 1442
1992 4 1367
1993 1 1403
1993 2 1423
1993 3 1441
1993 4 1442
1994 1 1391
1994 2 1437
1994 3 1452
1994 4 1446
1995 1 1496
1995 2 1479
1995 3 1424
1995 4 1442
1996 1 1450
1996 2 1424
1996 3 1428
1996 4 1450
1997 1 1453
1997 2 1440
1997 3 1498
1997 4 1553
1998 1 1450
1998 2 1488
1998 3 1472
1998 4 1513
1999 1 1449
1999 2 1411
1999 3 1478
1999 4 1562
2000 1 1555
2000 2 1467
2000 3 1437
2000 4 1478
2001 1 1433
2001 2 1510
2001 3 1482
2001 4 1481
2002 1 1516
2002 2 1448
2002 3 1449
2002 4 1487
2003 1 1453
2003 2 1456
2003 3 1514
2003 4 1552
2004 1 1482
2004 2 1479
2004 3 1487
2004 4 1552
2005 1 1480
2005 2 1499
2005 3 1490
2005 4 1514
2006 1 1464
2006 2 1486
2006 3 1471
2006 4 1504
2007 1 1477
2007 2 1576
2007 3 1527
2007 4 1569
2008 1 1497
2008 2 1525
2008 3 1464
2008 4 1572
2009 1 1505
2009 2 1533
2009 3 1478
2009 4 1529
2010 1 1533
2010 2 1500
2010 3 1518
2010 4 1551
2011 1 1532
2011 2 1574
2011 3 1522
2011 4 1559
2012 1 1577
2012 2 1562
2012 3 1563
2012 4 1537
2013 1 1552
2013 2 1570
2013 3 1520
2013 4 1536
2014 1 1525
2014 2 1564
2014 3 1568
2014 4 1612
2015 1 1532
2015 2 1498
2015 3 1488
2015 4 1598
2016 1 1517
2016 2 1499
2016 3 1539
2016 4 1571
2017 1 1513
2017 2 1571
2017 3 1487
2017 4 1514
2018 1 1490
2018 2 1564
2018 3 1532
2018 4 1537
2019 1 1507
2019 2 1534
2019 3 1555
2019 4 1626
2020 1 1499
2020 2 1549
2020 3 1492
2020 4 1538

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To plot the annualized growth rate of consumption expenditure we first need to calculate the growth rate for each year The growth rate can be calculated using the formula Growth Rate Expenditure in Ye... blur-text-image

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