Question

You are developing a simple linear regression analysis model. The simple correlation coefficient between y and x is -0.72. What do you know must be true about b1. The least squares estimator of B1? Why?

In a multiple linear regression analysis with k = 3. From the t test associated with B1, you conclude that B1 = 0. When you do the f test will you reject or fail to reject the null hypothesis? Why?

In a simple bilinear regression analysis, when x = -1.2, the 95% confidence interval for is (42, 5B). Give an interval (there are multiple answers that can be correct) that could be the 95% prediction interval for y when x = -12. Explain why your answer works.

You have quarterly time series data and you want to develop a model that will allow you to make forecasts for the next four quarters. Should you use a moving average model a simple exponential smoothing model or a regression model? Why?

In a regression analysis, you get r^2 = 0.40. What does this tell you about the mathematical relationship of SSE and SSR? How do you know?

Answer 1