Exam 17: Partial Correlation and Multiple Regression and Correlation

A researcher wants to predict score on personal happiness (Y)from score on income (X₁)and number of friends (X₂).Which of the following would be the proper course of action?

The 'first-order' partial correlation coefficient measures

If the variables of interest do not meet the level of measurement requirements of partial and multiple correlation,an alternative statistical technique that would produce analogous information would be

The multiple regression analysis of the relationship between crime and poverty used a dummy variables based on

Under what condition could the coefficient of multiple determination (R²)be lower in value than the zero-order correlation coefficients?

If a = 17,b₁ = 5,b₂ = 20,X₁= 100,and X₂ = 200,what would the predicted Y score be?

A researcher is trying to determine if income (X₁)or number of friends (X₂)is more important in determining personal happiness (Y).Which of the following would be the most profitable course of action?

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

For multivariate analysis,the techniques of partial correlation and multiple regression and correlation are superior to elaboration (i.e. ,controlling for a third variable by constructing partial tables)because

A Pearson's r calculated for the bivariate relationship between X and Y is .50.After controlling for Z,the partial correlation coefficient is .49.This outcome would be evidence of a(n)____ relationship between X and Y.

A researcher is examining the effects of income (X₁)and number of friends (X₂)on personal happiness (Y)and finds an R² of 0.45.Which of the following is a correct interpretation of this result?

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.

In the multiple regression equation,the symbol b stands for

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. City Auto Theft Unemployment \% YoumgMales A 1500 8 10 B 1200 10 8 C 1000 9 16 D 1800 12 20 E 1000 9 12 F 800 5 8 H 600 4 7 I 900 5 6 J 1100 9 12 K 1300 10 15 L 1400 12 5 M 2000 14 14 N 1800 15 18 O 1100 9 10 P 300 5 14 Q 400 5 18 R 900 8 10 R 1000 10 20 T 1500 11 18 U 1600 16 16

A researcher examines the relationship between poverty and crime rates for 100 metropolitan areas and finds a zero-order correlation of 0.37.She controls for the percent of families that are headed by single parents and finds a first order partial correlation of 0.06.This is a ____ relationship.

If a = 1,b₁ = 10,b₂ = 10,X₁= 2,and X₂ = 3,what would the predicted Y score be?

Which of the following would be consistent with a direct relationship between X and Y?

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.

The partial correlation coefficient will reveal an interactive relationship between three variables when

Which of the following is a correctly stated standardized regression equation?