Consider a regression analysis with n = 59 and three potential independent variables. Suppose that one of the independent variables has a correlation of 0.1 7 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 all three predictor variables? Choose all that apply. E A. Correlation between the independent variable and the dependent variable is evidence of a small Student's t statistic. E B. Correlation between the independent variable and the dependent variable is not necessarily evidence of a small Student's t statistic. E C. A high correlation among the independent variables could result in a very small Student's t statistic as the correlation increases the coefcient standard errors. E D. The correlation between the independent variable and the dependent variable could result in a very small Student's t statistic as the correlation creates a high variance. You have been asked to develop a multiple regression model to predict the traffic fatality rate per 100 million miles in 2007 (y). The data table available below contains traffic data for ten regions for the year 2007. Consider the possible predictor variables per capital disposable income (x,), thousands of licensed drivers (X2), thousands of motor vehicle registrations (x3), and the motor vehicle fuel tax in cents per gallon (x4), and include only those that are conditionally significant. Click the icon to view the traffic data for ten regions for the year 2007. Complete the regression equation below. Use 0 for the coefficient of any variable not included in the model. Y = 1+ () X1 + (DX2 + (DX3 + ()XA (Round to five decimal places as needed.)or the year 2007 X ati ic data for ten regions for the year 2007 y x1 X2 x3 X4 0.8 44,711 739 586 7.4 1.6 27,896 690 526 12.5 1.5 25,435 728 566 29.6 1.4 31,889 549 338 22.6 1.1 37,503 931 825 19.6 1.4 32,822 678 506 7.8 1.9 22,833 923 820 10.7 0.9 36,000 822 677 33.7 1.6 23,497 405 146 23.3 1.7 25,285 678 506 13.5 Print Done