I have a small question regarding the role of 'trend' predictor in tslm() function. As explained in Hyndman and Athanasopoulos (2020): "A linear trend can be modelled by simply using x1,t = t as a predictor," where t is the time unit of the time-series.
However, when I try to use trend in time to predict performance in the dataset 'mens400', using trend as a predictor provides a suspicious result:
b2 <- tslm(mens400 ~ trend, data = mens400)
Using time(mens400) makes the result seem more reasonable:
From the authors' explanation, I expected the trend predictor to perform exactly as the time() function but it actually not. Can someone explain what is happening here?