Exam 14: Pearson Correlation and Regression: Inferential Aspects

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

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The linear model has the general form Y = á + âX + å.

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If we found a correlation of +.32,the calculation of the strength of the relationship (h2)would indicate that we observed a _____ relationship between the two variables.

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When a relationship is found using the Pearson correlation technique on sample data,this does not mean there is a non-zero correlation in the population,because of _____.

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The strength of the relationship between two variables in a correlational analysis can be represented by:

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The mean of a sampling distribution of r is approximately equal to r.

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The estimated standard error of estimate estimates the average error that will be made across individuals when predicting scores on X from the regression equation.

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The measure of the strength of the relationship found using the Pearson correlation is _______.

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Suppose research conducted at a secretarial school found that reading speed correlated highly with typing speed after training,and that the regression equation based on the data from this school took the form of Y=25+.25X.A new applicant has a reading speed of 400 words per minute.With training in typing,she will probably learn to type at the rate of _____ words per minute.

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An advantage of the regression equation is that it can be used to predict ____________________ for people who were not in the original sample.

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In the equation for the linear model,å is called an error score that reflects all factors that are uncorrelated with X that influence Y.

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The use of the slope as an index of effect size only makes sense when the correlation between Y and X is:

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If X helps to predict Y,then the estimated _____ will be smaller than the estimated _____ of Y.

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In regression the variable being predicted is formally known as the ____________________.

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In the linear model Y = á + âX + å,what does the å term represent?

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Another index of the strength of the effect that one variable has on another is the:

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The estimated standard error of the estimate is an index of how much error will occur in the population when:

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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: 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<sub>X</sub> = 40 SS<sub>Y</sub> = 136 Calculate the Pearson correlation coefficient (r)for the above data. SCP = 66 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<sub>X</sub> = 40 SS<sub>Y</sub> = 136 Calculate the Pearson correlation coefficient (r)for the above data. SSX = 40 SSY = 136 Calculate the Pearson correlation coefficient (r)for the above data.

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The value of r2 represents the proportion of variability _____.

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A regression equation can be used to identify the value of Y that is predicted to be paired with an individual's score on X.

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