In: Statistics and Probability
Please show all steps using data set below and excel.
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 |
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:
