Topic 2: Time Series Jan-Mar Apr-Jun Jul-Sep 10.26 9.54 12.06 12.15 12.96 14.85 14.67 16.02 1977 9.54 1978 11.88 1979 14.04 1980 16.20 Oct-Dec 8.73 8.91 9.99 11.61 3. The above table lists quarterly earnings per Johnson & Johnson share for the years 1977- 1980. (a) Plot the data in R and comment upon it. (b) Estimate the trend and seasonal component of this time series by hand and adjust the time series for trend and seasonality. Ensure that you show all your working. (c) Now calculate the data adjusted for trend and seasonality. You can do this either by hand or in R. (d) Plot the trend with the original data and the adjusted time series. (e) Comment briefly on all of your results (i.e. the trend, seasonality and adjusted series). Please ensure you show all your working.

Topic 2: Time Series Jan-Mar Apr-Jun Jul-Sep 10.26 9.54 12.06 12.15 12.96 14.85 14.67 16.02 1977 9.54 1978 11.88 1979 14.04 1980 16.20 Oct-Dec 8.73 8.91 9.99 11.61 3. The above table lists quarterly earnings per Johnson & Johnson share for the years 1977- 1980. (a) Plot the data in R and comment upon it. (b) Estimate the trend and seasonal component of this time series by hand and adjust the time series for trend and seasonality. Ensure that you show all your working. (c) Now calculate the data adjusted for trend and seasonality. You can do this either by hand or in R. (d) Plot the trend with the original data and the adjusted time series. (e) Comment briefly on all of your results (i.e. the trend, seasonality and adjusted series). Please ensure you show all your working.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Topic 2: Time Series
Jan-Mar Apr-Jun Jul-Sep
10.26
9.54
12.06
12.15
12.96
14.85
14.67
16.02
1977 9.54
1978 11.88
1979 14.04
1980
16.20
Oct-Dec
8.73
8.91
9.99
11.61
3. The above table lists quarterly earnings per Johnson & Johnson share for the years 1977-
1980.
(a) Plot the data in R and comment upon it.
(b) Estimate the trend and seasonal component of this time series by hand and adjust
the time series for trend and seasonality. Ensure that you show all your working.
(c) Now calculate the data adjusted for trend and seasonality. You can do this either
by hand or in R.
(d) Plot the trend with the original data and the adjusted time series.
(e) Comment briefly on all of your results (i.e. the trend, seasonality and adjusted
series). Please ensure you show all your working.

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Step 1: Write the given information.

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Step 2: Plot the given data set in R.

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Step 3: Estimate the trend component of this time series.

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Step 4: Estimate the seasonal component of this time series.

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Step 5: Determine the data adjusted for trend and seasonality.

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Step 6: Plot the trend with the original data and the adjusted time series.

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