Question

In: Statistics and Probability

Time series is given: Year 2012 2013 2014 2015 2016 2017 2018 2019 Amount 65 61...

  1. Time series is given:

Year

2012

2013

2014

2015

2016

2017

2018

2019

Amount

65

61

73

68

67

72

75

70

  • Calculate and interpret the characteristics of it;
  • Make the time series next value forecast by using any method.

Solutions

Expert Solution

There is a horizontal pattern in the data.

The next value forecast is 75.2857143.

The calculations are:

Data Forecasts and Error Analysis
Period Demand (y) Period(x) Forecast Error Absolute Squared Abs Pct Err
Period 1 65 1 63.78571 1.214286 1.214286 1.47449 01.87%
Period 2 61 2 65.42857 -4.42857 4.428571 19.61224 07.26%
Period 3 73 3 67.07143 5.928571 5.928571 35.14796 08.12%
Period 4 68 4 68.71429 -0.71429 0.714286 0.510204 01.05%
Period 5 67 5 70.35714 -3.35714 3.357143 11.27041 05.01%
Period 6 72 6 72 0 0 0 00.00%
Period 7 75 7 73.64286 1.357143 1.357143 1.841837 01.81%
Total 2.13E-14 17 69.85714 25.12%
Intercept 62.1428571 Average 3.05E-15 2.428571 9.979592 03.59%
Slope 1.64285714 Bias MAD MSE MAPE
SE 3.737837
Forecast 75.2857143 8
Correlation 0.720865
Coefficient of determination 0.519646

Please give me a thumbs-up if this helps you out. Thank you!


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