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Consider the following time series data. 2 4 5 11 14 15 (a) Construct a time series plot. 16+ 14 16+ 12 10 + Time

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Consider the following time series data. 2 4 5 11 14 15 (a) Construct a time series plot. 16+ 14 16+ 12 10 + Time Series Value Time Series Value 1 2 3 4 5 O 6 0 + Time Period (t) 1 2 3 4 5 6 Time Period (t) A 16 Time Series Value Time Series Value ONAOO ONE(a) Construct a time series plot. 16- 16 14 12 Time Series Value Time Series Value 0 2 3 4 5 6 0 O 2 3 4 5 Time Period (t) 6 Time Period (t) A 16+ 16+ Time Series Value Time Series Value ONDOO ONE 0 + 2 3 4 5 + 6 0 O 2 3 Time Period (t) 4 5 Time Period (t) AWhat type of pattern exists in the data? O The time series plot shows a linear trend. The time series plot shows a horizontal pattern. O The time series plot shows a nonlinear trend. The time series plot shows a seasonal pattern. X (b) Develop the linear trend equation for this time series. T. = 3.9 + 2.5t X (c) What is the forecast for t = 6? 18.9 X

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