Trend and seasonality analysis: Daily average discharge of C…

Questions

Trend аnd seаsоnаlity analysis: Daily average discharge оf Chattahоochee river (25 points) 1a. Plot the daily average discharge data and its ACF up to a lag of one tenth of the length of the time series. Comment on the features of this time series. Is this time series stationary?  1b. Transform the original daily discharge data by taking the logarithm of the data. Fit an ANOVA means model and a cos-sin seasonality model with only one harmonic on the time series. Overlay the fitted values from the two models on the actual data and comment. Comment on the significance of the season coefficients for each model. which model would you recommend using it? 1c. Fit the log-daily discharge data with a spline trend together with ANOVA day-of-the-week seasonality. Plot the log-daily discharge data together with the fitted model. Display the model summary. Are the trend and seasonality statistically significant? Compare the seasonality model in 1b with the model in this question. What would you conclude?  

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