data Visualization

2. Decomposition using a multiplicative model

Perform time series decomposition (assuming a multiplicative model) for the dataset below. Upload your final plots and all intermediate results. Assume a seasonality window of 12 months.

Date	Income
Jan-10	1.1
Feb-10	2.6
Mar-10	3.6
Apr-10	6
May-10	9.5
Jun-10	13.8
Jul-10	14.7
Aug-10	22.4
Sep-10	18
Oct-10	17
Nov-10	16.5
Dec-10	14.4
Jan-11	14.3
Feb-11	18.2
Mar-11	18
Apr-11	24
May-11	32.3
Jun-11	41.4
Jul-11	39.9
Aug-11	56
Sep-11	42
Oct-11	37.4
Nov-11	34.5
Dec-11	28.8
Jan-12	27.5
Feb-12	33.8
Mar-12	32.4
Apr-12	42
May-12	55.1
Jun-12	69
Jul-12	65.1
Aug-12	89.6
Sep-12	66
Oct-12	57.8
Nov-12	52.5
Dec-12	43.2
Jan-13	40.7
Feb-13	49.4
Mar-13	46.8
Apr-13	60
May-13	77.9
Jun-13	96.6
Jul-13	90.3
Aug-13	123.2
Sep-13	90
Oct-13	78.2
Nov-13	70.5
Dec-13	57.6
Jan-14	53.9
Feb-14	65
Mar-14	61.2
Apr-14	78
May-14	100.7
Jun-14	124.2
Jul-14	115.5
Aug-14	156.8
Sep-14	114
Oct-14	98.6
Nov-14	88.5
Dec-14	72
Jan-15	67.1
Feb-15	80.6
Mar-15	75.6
Apr-15	96
May-15	123.5
Jun-15	151.8
Jul-15	140.7
Aug-15	190.4
Sep-15	138
Oct-15	119
Nov-15	106.5
Dec-15	86.4
Jan-16	80.3
Feb-16	96.2
Mar-16	90
Apr-16	114
May-16	146.3
Jun-16	179.4
Jul-16	165.9
Aug-16	224
Sep-16	162
Oct-16	139.4
Nov-16	124.5
Dec-16	100.8
Jan-17	93.5
Feb-17	111.8
Mar-17	104.4
Apr-17	132
May-17	169.1
Jun-17	207
Jul-17	191.1
Aug-17	257.6
Sep-17	186
Oct-17	159.8
Nov-17	142.5
Dec-17	115.2
Jan-18	106.7
Feb-18	127.4
Mar-18	118.8
Apr-18	150
May-18	191.9
Jun-18	234.6
Jul-18	216.3
Aug-18	291.2
Sep-18	210
Oct-18	180.2
Nov-18	160.5
Dec-18	129.6
Jan-19	119.9
Feb-19	143
Mar-19	133.2
Apr-19	168
May-19	214.7
Jun-19	262.2
Jul-19	241.5
Aug-19	324.8
Sep-19	234
Oct-19	200.6
Nov-19	178.5
Dec-19	144