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In: Statistics and Probability

29. In multiple regression, the adjusted R-square can be interpreted as a. the percentage of variance...

29. In multiple regression, the adjusted R-square can be interpreted as a. the percentage of variance accounted for in the dependent variable by the set of independent variables b. the percentage of variance accounted for in the dependent variable by a single independent variable c. the strength of the relationship between the dependent variable and the set of independent variables d. the percentage of variance accounted for in the dependent variable by the set of independent variables minus an estimate penalty

30.In multiple regression, the ANOVA table tells us whether the three main regression coefficients (R, R-square, adjusted R-square) are significantly different from a. zero b. 1.00 c. .50 d. 1.50 31. In a multiple regression analysis, the final section of the output contains the coefficients. Which of these coefficients is of primary concern? a. unstandardized B b. standard error of B c. standardized coefficient beta d. standard error of beta

32. The ____________ correlation gives an estimate of the degree of relationship between two dichotomous variables. a. Pearson b. Spearman c. point-biserial d. phi

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Expert Solution

29. In multiple regression, the adjusted R-square can be interpreted as
d. the percentage of variance accounted for in the dependent variable by the set of independent variables minus an estimate penalty

Coefficient of determination(rsqaure) =It is the measure of the amount of variability in y explained by x. Its value lies between 0 and 1. Greater the value, better is the model. Adjusted R2 is an improved version of R2, which increases only if a significant variable is added to the model. It penalize the model for every junk or non-signficant variable that is added to the model.


30.In multiple regression, the ANOVA table tells us whether the three main regression coefficients (R, R-square, adjusted R-square) are significantly different from
a. zero

The hypothesis for the global test is as follows
Ho : All the beta coefficient are equal to zero.
H1 : At least one of the beta coefficient is not equal to zero.


In a multiple regression analysis, the final section of the output contains the coefficients. Which of these coefficients is of primary concern?
c. standardized coefficient beta


32. The ____________ correlation gives an estimate of the degree of relationship between two dichotomous variables.
d. phi

dichotomous means binary variables. The relationship between two binary variables is measured by the phi coefficient.

Pearson or Spearman are used to measure the relationship between two continuous variables.


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