Consider a regression analysis with n = 49 and two potential independent variables. Suppose that one of the independent variables has a correlation of 0.56 with the dependent variable. Does this imply that this independent variable will have a very small Student's t statistic in the regression analysis with both predictor variables?
Answer to relevant QuestionsIn order to assess the effect in one state of a casualty insurance company’s economic power on its political power, the following model was hypothesized and fitted to data from all 50 states: Y = β0 + β1X1 + β2X2 + ...The data file Economic Activity contains data for the 50 states in the United States; the variables are described in the Chapter 11 appendix. You are asked to develop a model to predict the percentage of females that are in ...Suppose that the regression model y = β0 + β1x1 + β2x2 + ε is estimated by least squares. Show that the residuals, ei, from the fitted model sum to 0. Based on 25 years of annual data, an attempt was made to explain savings in India. The model fitted was as follows: y = β0 + β1x1 + β2x2 + ε where y = change in real deposit rate x1 = change in real per capita income x2 ...Use the data from the Retail Sales file to estimate the regression model yt = β0 + β1xt + γyt-1 + εt and test the null hypothesis that g = 0, where yt = retail sales per household xt = disposable income per household
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