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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? 

Ticket sales are given below. Under the 1st order autoregressive model estimated above, what is the predicted ticket sale in 2021?   Year Sales (in thousands) 2018 2.01 2019 2.55 2020 2.63  

Please choose the case where collinearity is unlikely to occur.

What is the value in the cell at the intersection “Regression” and “df”? 

VIF can be used as a measurement for collinearity. Which of the following is NOT a typical indication of strong collinearity?

If a quadratic regression model is Yi= β0 + β1X1i+β2X1i2+ ɛi, what should be the alternate hypothesis (H1) for testing the quadratic effect?

Which of the following statements about time series is correct?

Create a method called calcVal that has two numeric parameters and returns a number.  Return the difference of those two values (first one minus the second).  The parameter and return data types should match the data type for the promptUserData method created in the last question. Just like the last question, don’t include the main method or public class, just the method described.  If needed, assume Scanner package has been imported.  Also include the javadoc.