Use to answer questions below: Researchers were interested in the impact of a mother's style of helping her child understand social interactions on the child's social life. These researchers arranged for 43 volunteer mothers and their 3- to 5-year-old children to be videotaped in three separate sessions, where the mothers were rated for "social coaching," "responsive style," and "nonsocial teaching" depending on the session activity. The researchers had all the children answer questions about how much they liked the other children, then used this information to come up with an overall measure of how much each child was liked, which they called "peer acceptance." The researchers hypothesized that the extent to which a mother was good at social coaching would predict her child's peer acceptance, and that this relation would hold up even in a multiple regression equation that included nonsocial coaching as well as one that included responsive style. Use the accompanying results table to explain the meaning of the peer acceptance results as if writing to a person who understands bivariate prediction, but does not understand multiple regression.

Peer Acceptance
Predictor Variables	r	R2	Beta
Equation 1
Nonsocial teaching	0.21*		0.10
Social coaching	0.36*	0.14*	0.32
Equation 2
Responsive style	0.34*		0.27
Social coaching	0.36*	0.19*	0.29

*p<0.10

(Conventions for the effect size for r and are 0.10 for a small effect size, 0.30 for a medium (or moderate) effect size, and 0.50 for a large effect side. Conventions for the effect size for R2 are 0.02 for a small effect size, 0.13 for a medium effect size, and 0.26 for a large effect size.)

Ouestions below:

1) Bivariate prediction predicts scores on a single criterion variable from scores on a single predictor variable. Multiple regression predicts scores on ____ (a single criterion variable / two or more criterion variables) from scores on ___ (a single criterion variable / two or more criterion variables). In the first multiple regression analysis, the researchers predicted ___ (peer acceptance / nonsocial coaching / social coaching / nonsocial coaching and peer coaching) from scores on ____ (peer acceptance / nonsocial coaching / social coaching / nonsocial coaching and peer coaching). In the second, the researchers predicted ____ (responsive style / social coaching / peer acceptance / responsive style and social coaching) from scores on ___ (responsive style / social coaching / peer acceptance / responsive style and social coaching).

2) In the first multiple regression analysis, the standardized regression coefficients were __ (.10 and .32, .21 and .36, or .14) ____ (the standardized regression coefficient / these standardized regression coefficients) can be interpreted in the same manner as the bivariate prediction. However, it is important to note that the regression coefficients in multiple regressions reflect what each ___ (criterion / predictor) variable contributes to the prediction, over and above what the other ___ (criterion / predictor) variables contribute. Thus, the ordinary ___ (correlations/correlation) between ___ (each/the) predictor variable and __ (each/ the) criterion variable can show a quite different pattern.

3) The ___ (r, R^2, beta) of ___ (.36, .21, .32, .10, or .14) for the first regression is the proportionate reduction in error or proportion of variance accounted for. This means that the ___ (two criterion variables, two predictor variables, predictor variable and criterion variable) together accounted for ____ (36%, 21%, 32%, 10%, or 14%) of the variation in ____ (peer acceptance, nonsocial coaching, social coaching).