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1. If the correlation between two variables is r = 0.50, the variance of the res

ID: 2935099 • Letter: 1

Question


1. If the correlation between two variables is r = 0.50, the variance of the residual is _____.
A. 36% B. 40% C. 75% D. 64% E. 95%
2. Which of the following is true about the type of variable that can be examined as the dependent variable, or outcome, using ANCOVA? A. The dependent variable must be continuous and normally distributed. B. The dependent variable must be nominal. C. The dependent variable must be dichotomous. D. The mean value of the dependent variable must be equal in all groups. E. None of the above
3. ANCOVA is different from one-way ANOVA in that: A. ANCOVA has more than one dependent variable. B. ANCOVA must have a continuous and normally distributed dependent variable. C. ANCOVA allows you to adjust for continuous covariates. D. ANCOVA does not address hypotheses about differences in means. E. None of the above.

1. If the correlation between two variables is r = 0.50, the variance of the residual is _____.
A. 36% B. 40% C. 75% D. 64% E. 95%
2. Which of the following is true about the type of variable that can be examined as the dependent variable, or outcome, using ANCOVA? A. The dependent variable must be continuous and normally distributed. B. The dependent variable must be nominal. C. The dependent variable must be dichotomous. D. The mean value of the dependent variable must be equal in all groups. E. None of the above
3. ANCOVA is different from one-way ANOVA in that: A. ANCOVA has more than one dependent variable. B. ANCOVA must have a continuous and normally distributed dependent variable. C. ANCOVA allows you to adjust for continuous covariates. D. ANCOVA does not address hypotheses about differences in means. E. None of the above.

1. If the correlation between two variables is r = 0.50, the variance of the residual is _____.
A. 36% B. 40% C. 75% D. 64% E. 95%
2. Which of the following is true about the type of variable that can be examined as the dependent variable, or outcome, using ANCOVA? A. The dependent variable must be continuous and normally distributed. B. The dependent variable must be nominal. C. The dependent variable must be dichotomous. D. The mean value of the dependent variable must be equal in all groups. E. None of the above
3. ANCOVA is different from one-way ANOVA in that: A. ANCOVA has more than one dependent variable. B. ANCOVA must have a continuous and normally distributed dependent variable. C. ANCOVA allows you to adjust for continuous covariates. D. ANCOVA does not address hypotheses about differences in means. E. None of the above.

Explanation / Answer

#1 The variance of the residual is the unexplained variation.

unexplained variation = 1 - r2 = 1 - 0.502 = 1 - 0.25 = 0.75 = 75%

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#2 The correct option is:

A. The dependent variable must be continuous and normally distributed.

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#3 The correct option is:

C. ANCOVA allows you to adjust for continuous covariates.