In: Statistics and Probability
2014 I 31 2017 I 69
II 24 II 54
III 23 III 46
IV 16 IV 32
2015 I 42 2018 I 82
II 35 II 66
III 30 III 51
IV 23 IV 38
2016 I 53 2019 I 91
II 45 II 72
III 39 III 59
IV 27 IV 41
Create a multiple regression equation incorporating both a trend (t=0 in 2013: IV) and dummy variables for the quarters. Let the first quarter represent the reference (or base) group. Complete (e) thru (h) using your results. This is a computer deliverable.
(h) Test for the existence of first order autocorrelation, use alpha = 0.05. The calculated dw = 1.19.
data -> data analysis -> regression
y^ = 37.7030 + 2.1482 t -14.1482 Q2 - 24.2964 Q3 - 38.2780 Q4
h)
dW = 1.19
k =4, n = 24 ,alpha = 0.05
dL = 1.013
dU = 1.775
dW = 1.19
dL = 1.013
dU = 1.775
dW = 1.19
for positive auto-correlation
test is inclusive as 1.013 < 1.19 < 1.775
for negative auto-correlation
there is no evidence for negative auto-correlation
as 4 - 1.19 > 1.775