Question

In: Statistics and Probability

Please show all steps using data set below and excel. By using a bivariate regression trend...

Please show all steps using data set below and excel.

  • By using a bivariate regression trend line model, forecast total houses sold for the next five years.
  • Prepare a time series plot of these data (years are on the x axis, THS is on the y axis) that shows both actual and forecast THS for the next five years.

Total Houses Sold

Year Northeast
1996         74.00
1997         78.00
1998         81.00
1999         76.00
2000         71.00
2001         66.00
2002         65.00
2003         79.00
2004         83.00
2005         81.00
2006         63.00
2007         65.00
2008         35.00
2009         31.00
2010         31.00
2011         21.00
2012         29.00
2013         31.00
2014         28.00
2015         24.00
2016         32.00

Solutions

Expert Solution

The output is:

The formulas are:

The answer is:

Period Demand (y) Period(x) Forecast
Period 1 74 1 87.12554
Period 2 78 2 83.86061
Period 3 81 3 80.59567
Period 4 76 4 77.33074
Period 5 71 5 74.0658
Period 6 66 6 70.80087
Period 7 65 7 67.53593
Period 8 79 8 64.271
Period 9 83 9 61.00606
Period 10 81 10 57.74113
Period 11 63 11 54.47619
Period 12 65 12 51.21126
Period 13 35 13 47.94632
Period 14 31 14 44.68139
Period 15 31 15 41.41645
Period 16 21 16 38.15152
Period 17 29 17 34.88658
Period 18 31 18 31.62165
Period 19 28 19 28.35671
Period 20 24 20 25.09177
Period 21 32 21 21.82684
Intercept 90.39047619
Slope -3.264935065
Forecast 18.56190476 22
15.2969697 23
12.03203463 24
8.767099567 25
5.502164502 26

The plot is:


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