Exam 5: Pearson Correlation and Regression: Descriptive Aspects

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What is the least squares criterion?

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Regarding correlation and causation,if we observe a positive correlation between two variables,we cannot conclude that there is a ____________________ relationship between the two variables.

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

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The correlation that has been found between the amount of violence watched on television and aggressive behavior in children proves that watching violent television programs causes aggressive behavior.

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When two variables,X and Y,are correlated,three possible reasons for their correlation are that (1)X might cause Y, (2)Y might cause X,or (3)some additional variable(s)might cause both X and Y.

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In the case of a(n)_____ relationship,the standard scores on X and Y will have different signs but will be identical in size.

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In a regression equation,the slope and intercept are defined so as to maximize the squared vertical distances that the data points,considered collectively,are from the regression line.

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In a scatterplot,the X variable should be plotted on the _____,and the Y variable should be plotted on the _____.

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The magnitude of the correlation when a limited portion of the range of a variable is considered will be _____ if the range had not been so restricted.

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When some third variable is responsible for the correlation between X and Y,the correlation is said to be:

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The _____ represents an average error across individuals in predicting scores on Y from the regression equation.

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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 of target 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 of target to oneself Y = rating of likability of the target (Sarah) 62 people participate in your study,and you obtain the following data:    = 6.00 SCP = 66    = 10.00 SS<sub>X</sub> = 40 SS<sub>Y</sub> = 136 Calculate the standard error of estimate for the above data. = 6.00 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 of target to oneself Y = rating of likability of the target (Sarah) 62 people participate in your study,and you obtain the following data:    = 6.00 SCP = 66    = 10.00 SS<sub>X</sub> = 40 SS<sub>Y</sub> = 136 Calculate the standard error of estimate for the above data. = 10.00 SSX = 40 SSY = 136 Calculate the standard error of estimate for the above data.

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The standard error of estimate represents an average error across individuals in predicting scores on Y from the regression equation.

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It is possible for two variables to be related to one another,but for no causal relationship to exist between them.

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A slope of _____ would be represented by a _____ line.

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Research in the behavioral sciences is often concerned with _____ relationships.

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When there is no linear relationship,the z scores on X will ______.

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For a perfect negative linear relationship,the z scores for the Y and X variables will tend to have _____.

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What is a predicted value of Y?

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In statistical computer output,when every variable of interest is correlated with every other variable,the output contains a correlation ____________________.

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