Question

Consider wmurders, the number of women murdered each year (per 100,000 standard population) in the United States. a. By studying appropriate graphs of the series in $\mathrm{R}$, find an appropriate $\operatorname{ARIMA}(p, d, q)$ model for these data. b. Should you include a constant in the model? Explain. c. Write this model in terms of the backshift operator. d. Fit the model using $\mathrm{R}$ and examine the residuals. Is the model satisfactory? e. Forecast three times ahead. Check your forecasts by hand to make sure that you know how they have been calculated. f. Create a plot of the series with forecasts and prediction intervals for the next three periods shown. g. Does auto.arima() give the same model you have chosen? If not, which model do you think is better?

   Consider wmurders, the number of women murdered each year (per 100,000 standard population) in the United States.
a. By studying appropriate graphs of the series in $\mathrm{R}$, find an appropriate $\operatorname{ARIMA}(p, d, q)$ model for these data.
b. Should you include a constant in the model? Explain.
c. Write this model in terms of the backshift operator.
d. Fit the model using $\mathrm{R}$ and examine the residuals. Is the model satisfactory?
e. Forecast three times ahead. Check your forecasts by hand to make sure that you know how they have been calculated.
f. Create a plot of the series with forecasts and prediction intervals for the next three periods shown.
g. Does auto.arima() give the same model you have chosen? If not, which model do you think is better?
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Forecasting: Principles and Practice
Forecasting: Principles and Practice
George… 2nd Edition
Chapter 8, Problem 7 ↓

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Step 1

We can use the `plot()` function in R to visualize the data. ```R # Assuming the data is stored in a variable called "wmurders" plot(wmurders, main = "Number of Women Murders per 100,000 Population") ``` By looking at the plot, we can observe any trends,  Show more…

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Consider wmurders, the number of women murdered each year (per 100,000 standard population) in the United States. a. By studying appropriate graphs of the series in $\mathrm{R}$, find an appropriate $\operatorname{ARIMA}(p, d, q)$ model for these data. b. Should you include a constant in the model? Explain. c. Write this model in terms of the backshift operator. d. Fit the model using $\mathrm{R}$ and examine the residuals. Is the model satisfactory? e. Forecast three times ahead. Check your forecasts by hand to make sure that you know how they have been calculated. f. Create a plot of the series with forecasts and prediction intervals for the next three periods shown. g. Does auto.arima() give the same model you have chosen? If not, which model do you think is better?
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