Question

1- Analysing seasonality of time series, we obtained the output shown below. ice.cream.sale refers to ice-cream sales in hundreds of kilograms, qj is a dummy indicator of quarter j. i- Formulate the null hypothesis of a suitable test to find out whether seasonal pattern exhibits statistically significant. ii- What is the interpretation of the estimated intercept? Does it make any sense? iii- What is the interpretation of the estimated coefficient of the dummy variable q3?

Fig: 1