You are watching: Which of the following is true about regression analysis?
If the assumptions of regression have been met, errors plotted against the independent variable will typically show patterns.
The null hypothesis in the F-test is that tright here is a direct connection in between the X and also Y variables.
If the meaning level for the F-test is high sufficient, tbelow is a relationship in between the dependent and independent variables.
If multicollinearity exists, then individual interpretation of the variables is questionable, however the as a whole design is still great for prediction functions.
Which of the following statements is true about a scatter diagram?A) It provides extremely bit information around the relationship in between the regression variables.B) It is a plot of the independent and dependent variables.C) It is a line chart of the independent and dependent variables.D) It has a worth between -1 and +1.E) It provides the percent of variation in the dependent variable that is defined by the independent variable.
The random error in a regression equationA) is the predicted error.B) consists of both positive and also negative terms.C) will sum to a large positive number.D) is offered to estimate the accuracy of the slope.E) is maximized in a leastern squares regression model.
Which of the adhering to statements is/are not true about regression models?A) Quotes of the slope are discovered from sample data.B) The regression line minimizes the amount of the squared errors.C) The error is uncovered by subtracting the actual data worth from the predicted data worth.D) The dependent variable is the explanatory variable.E) The intercept coreliable is not generally interpreted.
Which of the adhering to is an presumption of the regression model?A) The errors are independent.B) The errors are not commonly dispersed.C) The errors have actually a conventional deviation of zero.D) The errors have actually an irregular variance.E) The errors follow a cone pattern.
Which of the following conditions have the right to be detected from residual analysis?A) Nonlinearity Nonconsistent variance B) Multicollinearity C) A and also BD) A, B, and also C
Suppose that you believe that a cubic partnership exists between the independent variable (of time) and also the dependent variable Y. Which of the following would certainly reexisting a valid direct regression model?A) Y = b0 + b1 X, where X = time3B) Y = b0 + b1 X3, wbelow X = timeC) Y = b0 + 3b1 X, wbelow X = time3D) Y = b0 + 3b1 X, wright here X = timeE) Y = b0 + b1 X, where X = time1/3
The sum of the squares complete (SST)A) measures the complete varicapacity in Y around the intend.B) measures the complete varicapacity in X around the intend.C) procedures the varicapability in Y about the regression line.D) steps the varicapability in X about the regression line.E) shows exactly how a lot of the complete variability in Y is described by the regression model.
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Which of the adhering to is true about a regression model through multicollinearity, a high r2 worth, and a low F-test definition level?A) The design is not a great prediction model.B) The high value of r2 is due to the multicollinearity.C) The interpretation of the coefficients is helpful.D) The meaning level tests for the coefficients are not valid.E) The significance level for the F-test is not valid.