Interpreting Regression Output: Correlation and Multicollinearity

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26 Questions

In a regression analysis, which measure indicates the degree to which the distribution is skewed?

Skewness

What characterizes the bell-shaped peak of a normal distribution?

Kurtosis

Which statistic describes the relationship between two variables before controlling for any others?

Zero-order correlation

What should be considered to check if each variable contributes significantly in a regression analysis?

Examining standardized regression coefficients

What is a useful technique where you compare the contribution of variables in different steps of a hierarchical regression?

Analysis of F tests

In a regression analysis, which measure indicates the extent to which a variable is important in explaining the outcome?

Standardized regression coefficient

Which regression coefficient is in the original units of the variable?

B value

What does the standardised regression coefficient allow for in comparison to the non-standardised coefficient?

Comparing variables on different scales

Which correlation is a regular bivariate correlation between two variables?

Zero-order correlation

What does the partial correlation aim to accomplish?

Control for the influence of other variables from the predictor

Which correlation does not control for the presence of any other variables?

Zero-order correlation

Which type of correlation removes the influence of other variables from the predictor but not the criterion?

Semi-partial correlation

What does the significance of contributor testing assess in regression?

Individual predictor contribution

Which statistic is used to assess the significance of adding new variables in a hierarchical regression model?

FChange

What is the Greek letter Δ used to signify in ΔR2?

Change in statistics

Why might the contribution of variables decrease in a hierarchical regression?

Control and emphasis on new predictor variables

What is the commonly known correlation that is used to assess a linear association between two quantitative variables?

Zero-order correlation

Which assumption of regression testing emphasizes having equal variances between the variables?

Homoscedasticity

Which statistic helps assess the unique contribution of a predictor variable while controlling for others?

Semi-partial correlation

What technique is used to analyze the effect of multiple predictor variables on a single criterion variable?

Multiple regression

Which correlation controls for the effect of one or more variables while calculating the correlation between two other variables?

Partial correlation

In regression analysis, which statistic standardizes the relationship between each predictor variable and the criterion variable for comparison?

Standardised regression coefficient

What must be checked in a multiple regression to ensure that the same variable is not represented more than once?

Multicollinearity

Which statistic allows us to determine statistically significant contributors to the multiple regression model?

Standardised regression coefficient

Which correlation is calculated without controlling for the effect of any other variable?

Zero-order correlation

What is the key difference between partial correlation and semi-partial correlation?

Partial correlation accounts for the effect of all other independent variables, whereas semi-partial only accounts for the variables it controls for

Learn about interpreting regression output, focusing on the correlation and multicollinearity between multiple predictor variables and the criterion variable. Understand how to analyze, correlate, and interpret bivariate relationships in regression analysis.

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