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Question:
The sales data of a company's sales records is provided.
a. Plot a time-series plot of the data
b. Fit a Linear trend line to these data
c. Conduct a hypothesis test of the linear trend model developed in part b. Use significance level of 0.05
d. State the predicted value of sales from 2005 to 2020
e. Calculate MAD and MSE for the linear trend forecasts developed
DATASET:
Year | Sales |
2005 | 878 |
2006 | 983 |
2007 | 1085 |
2008 | 1276 |
2009 | 1502 |
2010 | 1738 |
2011 | 2044 |
2012 | 2238 |
2013 | 2388 |
2014 | 2488 |
2015 | 2978 |
2016 | 3267 |
2017 | 3375 |
2018 | 3575 |
2019 | 3866 |
2020 | 3980 |
The time series plot is
b) The linear model is
Sales=442548-221.07(year)
C) the hypothesis is
H0:-slope=0
The regression Coefficient is equal to zero
D)
H1:- slope=/0
The regression coefficient is not equal to zero
D)the preadicate values is
E) the value of MAD is 885.76
And MSE is 1.567
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