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You are provided with monthly data from July 2006 to August 2021. You do not know what these data are or where they come from

You are provided with monthly data from July 2006 to August 2021. You do not know what these data are or where they come from so you need to investigate them. You do know that these data comprise the series below, but you do not know which is which:

Random data

Data which vary cyclically

Data which vary linearly with time and

Normally distributed data. Identify which of the data sets (A, B, C or D) represent which of the types of data above and calculate the various parameters indicated in the table below.

Data series Descriptive parameter
Random data Minimum, maximum
Data which vary cyclically Frequency, amplitude
Data which vary linearly with time Slope, intercept
Normally distributed data Mean, standard deviation

a. ?

b. ?

c. ?

d ?

A B C D
01-Jul-06 1.85 5.15% -168.67 0.22
01-Aug-06 2.01 -0.39% -124.40 0.50
01-Sep-06 2.20 1.01% -164.67 0.03
01-Oct-06 1.97 7.19% -210.58 -0.19
01-Nov-06 2.34 2.52% -166.35 -0.40
01-Dec-06 2.51 1.69% -91.81 -0.40
01-Jan-07 2.34 1.22% -172.20 -0.24
01-Feb-07 2.49 5.42% -146.66 -0.09
01-Mar-07 2.64 3.40% -154.47 -0.26
01-Apr-07 2.84 4.91% -105.34 0.16
01-May-07 3.02 -2.05% -128.59 -0.33
01-Jun-07 2.88 5.94% -159.93 0.11
01-Jul-07 2.75 2.37% -168.18 0.24
01-Aug-07 2.70 -0.35% -123.08 -0.08
01-Sep-07 2.58 -1.81% -124.94 0.08
01-Oct-07 3.17 -2.29% -139.68 -0.24
01-Nov-07 2.71 6.24% -77.65 0.03
01-Dec-07 3.07 -4.93% -155.01 0.22
01-Jan-08 3.01 3.42% -154.37 0.29
01-Feb-08 2.81 -0.68% -108.53 0.19
01-Mar-08 3.14 -2.43% -112.33 0.30
01-Apr-08 3.13 6.40% -146.94 0.41
01-May-08 3.17 4.81% -122.09 0.33
01-Jun-08 3.03 -0.33% -139.89 0.38
01-Jul-08 2.81 -0.25% -110.78 0.17
01-Aug-08 3.17 2.69% -108.39 0.24
01-Sep-08 3.08 3.28% -138.18 0.20
01-Oct-08 2.85 6.83% -86.85 -0.09
01-Nov-08 2.73 4.85% -87.30 -0.36
01-Dec-08 2.84 5.40% -178.27 0.33
01-Jan-09 2.62 3.03% -95.05 -0.43
01-Feb-09 2.60 -1.19% -87.57 0.04
01-Mar-09 2.86 4.03% -106.26 -0.43
01-Apr-09 2.72 1.94% -96.59 -0.13
01-May-09 2.75 1.15% -93.53 -0.17
01-Jun-09 2.18 0.14% -101.41 -0.07
01-Jul-09 2.64 -0.94% -96.25 -0.17
01-Aug-09 2.28 -3.01% -113.97 0.45
01-Sep-09 2.13 6.92% -66.98 -0.03
01-Oct-09 2.28 -2.06% -114.27 0.21
01-Nov-09 2.24 6.91% -96.74 -0.48
01-Dec-09 1.90 -0.53% -63.86 0.19
01-Jan-10 1.72 -2.01% -110.37 -0.12
01-Feb-10 2.15 -1.70% -106.25 0.20
01-Mar-10 1.65 5.52% -69.09 -0.14
01-Apr-10 1.14 -0.08% -87.64 -0.11
01-May-10 1.59 -1.41% -150.10 -0.09
01-Jun-10 1.52 8.16% -97.50 0.09
01-Jul-10 1.69 -3.64% -9.13 -0.02
01-Aug-10 1.62 -4.15% -53.54 0.17
01-Sep-10 1.51 1.02% -47.34 -0.20
01-Oct-10 1.40 3.12% -87.47 -0.16
01-Nov-10 1.08 4.12% -86.95 0.40
01-Dec-10 1.36 -2.20% -83.06 0.34
01-Jan-11 1.02 10.39% -83.04 0.19
01-Feb-11 1.22 5.26% -80.76 -0.20
01-Mar-11 1.20 -0.94% -74.44 0.47
01-Apr-11 1.10 -5.16% -39.67 -0.19
01-May-11 0.63 -4.52% -49.25 0.07
01-Jun-11 0.92 -1.48% -101.57 -0.45
01-Jul-11 0.66 2.97% -43.64 0.32
01-Aug-11 0.94 -1.47% -87.86 -0.03
01-Sep-11 0.74 2.11% -40.57 -0.24
01-Oct-11 0.84 -3.69% -53.46 -0.32
01-Nov-11 1.12 1.35% 9.23 0.31
01-Dec-11 1.09 5.07% -35.82 -0.38
01-Jan-12 0.94 7.29% -25.53 -0.17
01-Feb-12 1.12 6.43% -32.43 0.34
01-Mar-12 1.13 -5.17% -27.73 0.06
01-Apr-12 1.56 -2.42% 12.44 0.34
01-May-12 1.19 5.93% -27.93 -0.08
01-Jun-12 1.35 -3.88% -44.51 -0.14
01-Jul-12 1.63 -8.43% -20.40 0.13
01-Aug-12 0.96 -2.13% -59.85 -0.07
01-Sep-12 1.61 -7.18% -59.88 0.22
01-Oct-12 1.39 -4.61% -54.96 0.22
01-Nov-12 1.90 5.18% 43.40 -0.05
01-Dec-12 1.46 -1.69% -80.16 -0.40
01-Jan-13 1.73 4.36% -11.35 0.24
01-Feb-13 1.85 0.13% -39.37 -0.15
01-Mar-13 1.94 1.98% 18.10 -0.13
01-Apr-13 1.98 -4.59% -33.61 -0.36
01-May-13 1.89 -0.82% -63.37 -0.09
01-Jun-13 1.74 3.54% -23.38 0.26
01-Jul-13 2.09 0.37% -52.39 0.12
01-Aug-13 2.03 -4.27% -7.45 0.24
01-Sep-13 1.79 12.14% -22.35 0.11
01-Oct-13 2.44 2.82% 16.41 -0.45
01-Nov-13 2.30 3.30% -5.13 -0.32
01-Dec-13 2.23 -3.85% -14.79 -0.18
01-Jan-14 2.42 4.35% -1.44 0.48
01-Feb-14 2.53 3.59% -0.28 -0.25
01-Mar-14 2.78 -1.79% 1.82 0.01
01-Apr-14 2.80 -6.12% -3.76 -0.45
01-May-14 2.92 0.48% 12.70 -0.38
01-Jun-14 2.76 -0.15% 11.08 -0.48
01-Jul-14 2.96 2.82% -1.37 -0.06
01-Aug-14 3.11 -3.26% 46.19 0.33
01-Sep-14 2.94 -0.36% -14.14 0.15
01-Oct-14 2.52 -5.80% 5.48 0.27
01-Nov-14 2.75 1.75% -14.71 0.43
01-Dec-14 2.76 -2.57% -2.06 0.42
01-Jan-15 3.11 -2.15% 27.62 -0.07
01-Feb-15 2.75 2.37% -27.25 0.25
01-Mar-15 2.99 -5.00% 4.79 -0.11
01-Apr-15 3.16 4.38% 12.67 -0.34
01-May-15 2.61 -3.73% 17.31 -0.17
01-Jun-15 3.07 3.78% -45.07 -0.32
01-Jul-15 3.00 0.59% -27.00 0.09
01-Aug-15 2.88 1.01% 15.64 -0.07
01-Sep-15 2.83 3.11% 57.32 -0.23
01-Oct-15 2.99 2.29% 24.73 0.13
01-Nov-15 2.98 1.17% -0.68 0.11
01-Dec-15 2.91 -5.15% 8.10 0.13
01-Jan-16 2.49 -4.74% 70.37 0.17
01-Feb-16 2.47 -1.50% 44.60 0.11
01-Mar-16 2.75 4.15% 68.82 0.21
01-Apr-16 2.58 -6.23% 30.66 -0.17
01-May-16 2.51 -0.44% 15.60 -0.34
01-Jun-16 2.40 -2.89% 46.79 0.35
01-Jul-16 2.16 -2.04% 69.20 -0.35
01-Aug-16 2.24 2.21% 31.40 0.34
01-Sep-16 1.88 3.14% 19.47 0.00
01-Oct-16 2.33 3.59% 42.69 -0.17
01-Nov-16 1.93 -5.60% 33.86 -0.08
01-Dec-16 2.03 -0.02% 78.07 0.24
01-Jan-17 1.95 2.56% 46.74 0.36
01-Feb-17 1.59 -0.33% 54.40 -0.12
01-Mar-17 1.53 -0.71% 68.28 0.42
01-Apr-17 1.33 -5.59% -6.18 0.05
01-May-17 1.80 -7.54% 48.50 0.03
01-Jun-17 1.42 3.22% 44.56 0.38
01-Jul-17 1.98 4.26% 18.72 -0.17
01-Aug-17 1.20 -9.10% 65.88 0.21
01-Sep-17 1.37 -8.69% 62.47 -0.48
01-Oct-17 1.13 2.79% 66.83 0.18
01-Nov-17 1.35 3.83% 77.39 0.43
01-Dec-17 1.14 4.40% 49.94 0.31
01-Jan-18 1.00 -1.35% 54.89 0.12
01-Feb-18 1.15 -1.83% 61.89 -0.20
01-Mar-18 0.95 -5.46% 39.62 0.36
01-Apr-18 1.31 0.88% 29.30 -0.28
01-May-18 0.99 -4.16% 22.12 0.15
01-Jun-18 0.70 4.11% 100.19 0.03
01-Jul-18 0.91 0.89% 84.80 0.17
01-Aug-18 1.13 1.14% 83.14 0.28
01-Sep-18 0.86 6.11% 129.05 0.19
01-Oct-18 1.17 4.22% 43.23 0.16
01-Nov-18 0.90 4.68% 100.61 -0.37
01-Dec-18 1.00 1.82% 100.56 -0.03
01-Jan-19 0.73 -3.09% 109.32 0.21
01-Feb-19 0.88 3.13% 74.84 0.16
01-Mar-19 0.82 4.97% 106.68 -0.43
01-Apr-19 1.15 -2.84% 124.57 -0.08
01-May-19 0.88 -3.13% 51.06 0.49
01-Jun-19 1.11 2.32% 67.91 0.22
01-Jul-19 1.34 -1.20% 112.71 -0.09
01-Aug-19 1.39 6.47% 100.75 -0.04
01-Sep-19 1.31 -4.81% 59.63 0.42
01-Oct-19 1.84 5.66% 59.55 0.37
01-Nov-19 1.64 -5.54% 79.54 -0.25
01-Dec-19 1.08 -0.69% 68.92 0.17
01-Jan-20 1.52 1.98% 88.38 0.27
01-Feb-20 1.68 -3.13% 113.83 0.07
01-Mar-20 1.75 4.05% 115.61 -0.24
01-Apr-20 1.99 -1.72% 49.87 -0.07
01-May-20 2.14 2.55% 72.02 0.36
01-Jun-20 2.01 -3.08% 125.33 0.47
01-Jul-20 2.08 7.20% 83.53 -0.24
01-Aug-20 2.31 -4.35% 116.97 -0.11
01-Sep-20 1.82 -4.22% 133.00 0.08
01-Oct-20 2.63 -1.60% 113.81 0.23
01-Nov-20 2.51 1.57% 112.74 -0.28
01-Dec-20 2.47 4.73% 125.85 0.26
01-Jan-21 2.52 1.09% 122.54 -0.09
01-Feb-21 3.00 2.83% 145.84 -0.45
01-Mar-21 2.68 -7.97% 85.01 -0.33
01-Apr-21 2.79 2.70% 124.01 0.27
01-May-21 2.68 2.08% 72.48 -0.33
01-Jun-21 2.57 -1.64% 143.07 0.25
01-Jul-21 3.01 -4.84% 140.73 0.23
01-Aug-21 2.91 -3.77% 55.62 0.23

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