19. True or false. The value of X at the Y-intercept is always equal to zero in

Question

19. True or false. The value of X at the Y-intercept is always equal to zero in a simple linear regression. A. True B. False 20. True of false. The simple linear regression is called a "best fit" line because it maximizes the squared deviations for the difference between observed and predicted Y values. A. True B. False 21. True of false. Regression analysis results in a model of the cause-effect relationship between a dependent and one (simple linear) or more (multiple) predictor variables. The equation can be used to pred the dependent variable A. True B. False 22. If the regression equation of a predictor variable does not explain the variation in the dependent variable (e.g.. R2, the coefficient of determination, is close to zero), what can be concluded about the relationship between the predictor and the response variables? o A. The independent variable has no causal association with the dependent variable. B. The independent variable has no linear causal association with the dependent variable. C. There will be a trend in the plot of the residuals against the predictor variable. D. There will be no trend in the plot of the residuals against the predictor variable. o E. None of the above

Explanation / Answer

Ans:

19)y'=a+bx

when x=0

y'=a,where a is y-intercept

so,statement is true.

20)it is best fit,as it minimize the squared deviations between observed and perdicted values of y.

so,statement is false.

21)True.(we perdict how much change in y caused by change in x, using slope and can perdict new observations of y)

22)if R^2=0,it means that the independnent variable has no causal association the dependent variable.

Option B is correct.

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