Answer:
a) find the attached graph
b) find the attachment no 4 and 5
c)[tex]T_{10}= 4.72+1.46(10) = 19.28[/tex]
Step-by-step explanation:
a) A trend pattern exist if the time series plot gradually shifts to higher or lower values over a long period of time
find the attached graph
b) Liner Trend Equation
[tex]T_{1} =b_{0} +b_{1}t[/tex]
Where [tex]T_{1}[/tex] is the linear trend forecast in period t , [tex]b_{0}[/tex] is the intercept of the linear trend time, [tex]b_{1}[/tex] is the slope of the linear trend line, t is the time period
now computing the slope and intercept
formula is attached ( 3 no attachment)
[tex]Y_{t}[/tex] is the value of the time series in period t, n is the number of time periods
Y(bar) is the average value and t(bar) is the average value of t
due to unavailability of equation in math-script i attached the calculation part of this question( 4th and 5th no attachment)
thus the linear trend equation is [tex]T_{t}= 4.72+1.46t[/tex] (1)
[tex]T_{10}= 4.72+1.46(10) = 19.28[/tex]
