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A second-order autoregressive model for annual average mortgage rate is: Rate i = 1.5 + 1.0(Rate) i-1 – 0.95 (Rate) i-2 If the average mortgage rate in 2023 was 1.35, and in 2022 was 2.0, the forecast for 2025 is

What elements of time series data do you observe?

The alternative hypothesis to test the significance of the quadratic term at the 5% significance level is:

Use the following tables to answer Questions 13-14 A multiple regression was modeled with one dependent variable Y and 4 independent variables X1, X2, X3, and X4. Below are the regression results of the models of Xi with all the other X variables (i = 1, 2, 3, 4):

The null hypothesis to test the significance of quadratic term at the 5 % significance level is:

What is the 3-month Moving Average prediction for milk production in July 2023?

What is the Variance Inflationary Factor (VIF) of X1?

Use the following data to answer Questions 6-8 In order to estimate the relationship between the sales and price of umbrellas we decided to test the following model: Y = β0 + β1X + β2X2 + ε Where, Y = sales (in thousands) and X = price of an umbrella. The data was collected from 30 major stores in Madison downtown and the ANOVA summary follows:  

Which of the following statement about moving averages and exponential smoothing is correct?

Assume the smoothing coefficient W=0.3. What are the exponentially smoothed values for milk production in January and February of 2023?