You are developing a simple linear regression analysis model.The simple correlation coefficient between y and x is -0.72. Whatdo you know must be true about b1. The least squares estimator ofB1? Why?
In a multiple linear regression analysis with k = 3. From the ttest associated with B1, you conclude that B1 = 0. When you do thef 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 aremultiple answers that can be correct) that could be the 95%prediction interval for y when x = -12. Explain why your answerworks.
You have quarterly time series data and you want to develop amodel that will allow you to make forecasts for the next fourquarters. Should you use a moving average model a simpleexponential smoothing model or a regression model? Why?
In a regression analysis, you get r^2 = 0.40. What does thistell you about the mathematical relationship of SSE and SSR? How doyou know?
