Exam 14: Pearson Correlation and Regression: Inferential Aspects

We can test the null hypothesis that ñ = 0 by transforming the sample correlation coefficient into a statistic that has a sampling distribution that closely approximates the _____ distribution with _____ degrees of freedom.

When is Pearson correlation typically used to analyze the relationship between two variables?

In the context of regression,prediction merely refers to the fact that we are making inferences about one variable from a second variable and does not imply that the latter variable causes the former.

When ñ 0,the sampling distribution of the correlation coefficient is skewed.

If the researcher suspects that the strength of the relationship between two variables in the population is .15,as indexed by the correlation coefficient squared,what sample size should he use in a study involving an alpha level of .05,nondirectional test,in order to achieve a power of .99?

In terms of regression,the criterion variable is ____ while the predictor variable is _____.

The null hypothesis that ñ = 0 can be tested by converting the sample correlation coefficient to a statistic that has a sampling distribution that closely approximates the

The slope indicates the number of units Y is predicted to change given a one unit change in X.

If X helps to predict Y,then the estimated standard error of estimate will be larger than the estimated standard deviation of Y,and the better the predictor X is,the larger the estimated standard error of estimate will be.

Based on the Applications to the Analysis of Social Problems section of Chapter 14,a smoothing technique

Another useful index of the strength of the effect of one variable on another is the intercept.

In the context of regression,the variable being predicted,Y,is formally known as the dependent or _____ variable;the variable from which predictions are made,X,is formally known as the independent or _____ variable.

The estimated standard error of estimate ( _XY)differs from the standard error of estimate (s_XY)in that

The Pearson correlation technique may be used to measure _____ relationships when both X and Y are _____ in nature.

If grade point average (GPA.and number of hours partying per week were related according to the following linear model: GPA = 4.00 - .40(Hours of partying),what GPA would you predict if you partied for 8 hours a week?

How is the strength of the relationship between two variables evaluated in a correlational analysis?

The nature of the relationship in a correlation analysis is determined by examining _______.

The nature of the relationship between two correlated variables is determined by

The strength of the relationship in a correlational analysis can be calculated with

Suppose you were interested in conducting a study examining how ratings of similarity between oneself and another person were related to how attracted one is to the other person.You conduct this study by giving participants a description of a person named "Sarah." Participants are asked to read the description and then rate on a scale from 1 to 10 how similar Sarah is to themselves.You also ask each participant to rate on a scale from 1 to 20 how likeable they think Sarah is. X = rating of similarity to oneself Y = rating of likability of the target ("Sarah") 62 people participate in your study,and you obtain the following data: SCP = 66 SS_X = 40 SS_Y = 136 Calculate the estimated standard error of the estimate.