Exam 15: Partial Correlation and Multiple Regression and Correlation

The partial correlation coefficient between X and Y after controlling for Z shows a much weaker relationship than the Pearson's r computed for X and Y. This would be taken as evidence of a(n) _____________ relationship between X and Y.

If a = 1, b 1= 10, b 2= 10, X 1= 2, and X 2= 3, what would the predicted Y score be?

A Pearson's r calculated for a bivariate relationship is .50. After controlling for Z, the partial correlation coefficient is .07. This outcome would be evidence of a(n) _____________ relationship between X and Y.

The 'first-order' partial correlation coefficient measures________.

The text presents information from a research project on the relationships between crime, poverty, and age. After controlling for age, the relationship between crime and poverty was found to be________.

One advantage of the technique of multiple regression is that it allows the ___________ effects of the ____________ variables to be investigated.

The techniques of multiple correlation and regression can be used as long as________.

While unstandardized partial slopes permit predictions of Y in the original units of the variable, standardized partial slopes permit an assessment of________.

Standardized partial slopes can be computed by________.

A standardized regression equation is stated as: Zy = (.46)Z 1+ (.47)Z 1. Which conclusion is most consistent with this formula?

The coefficient of multiple determination (R2) shows________.

After scores have been standardized, the value of a (the Y-intercept) will always be________.

The auto theft rate (number of auto thefts known to the police per 100,000 population), unemployment rate, and percent of the population consisting of adolescent and young adult males (ages 12 - 25) are presented below for a sample of twenty cities. Take auto theft rate as the dependent variable and conduct a full regression analysis for these three variables.

With two independent variables, the least-squares multiple regression equation would be________.

Standardized partial slopes are also called________.

A researcher is examining the effects of income (X 1) and number of friends (X 2) on personal happiness (Y) and finds an R of 0.45. Which of the following is a correct interpretation of this result?

An analysis of the relationship between income and education found a correlation of 0.43. After controlling for age, the partial correlation was 0.43. The relationship between income and education seems to be________.