A financial analyst is examining a time series dataset of quarterly sales revenue for a company over the last five years. The analyst decides to apply a linear trend model to better understand the long-term growth trajectory of the sales.
In constructing the model, the quarterly sales revenue ($Y_t$) can be expressed as:
$$Y_t = eta_0 + eta_1 t + eta_2 t^2 + ext{error}$$
where:
After running the regression, the analyst finds that the quadratic term ($eta_2$) is statistically significant while the linear term ($eta_1$) is not. The analyst wonders what implications this has for the trend in sales revenue.
What can be inferred about the sales revenue trend based on these regression results?