Exam 5: Pearson Correlation and Regression: Descriptive Aspects

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The problem of ____________________ occurs when only a limited portion of the possible range of scores is used to calculate a correlation coefficient and a regression equation.

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restricted range

What is restricted range and how does it affect the correlation coefficient?

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Restricted range involves examining only a portion of the range of a variable.Depending on the particular circumstances,the magnitude of the correlation when a limited portion of this range is considered might be either lesser or greater than if the range had not been so restricted.

The criterion for deriving the values of the slope and intercept in a linear regression equation is formally known as the:

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C

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 slope for the regression equation 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 slope for the regression equation for the above data. = 10.00 SSX = 40 SSY = 136 Calculate the slope for the regression equation for the above data.

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In the study of traditionalism and ideal family size,a correlation of .66 was found indicating a ______.

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The statistical technique of _____ can be used to identify a line that will fit the data points better than any other line,as determined by the _____.

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When two variables are not perfectly correlated,the statistical technique of regression can be used to identify a line that will fit the data points perfectly.

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The value of a slope can be positive only.

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The fact that two variables are correlated necessarily implies that one variable causes the other to vary as it does.

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A correlation of .50 always represents a large correlation.

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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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Refer to the following data set. Individual X Y 1 2 4 SCP = 80 2 4 8 SSY = 160 3 6 12 SSX = 40 4 8 16 5 10 20 The standard error of estimate is _______.

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When two variables (X and Y)are strongly correlated we can be reasonably sure that X causes Y.

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When a linear relationship is negative,

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Which of the following r values indicates the weakest relationship between two variables?

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The magnitude of a correlation coefficient is determined by examining the absolute of the correlation coefficient.

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In the case of a negative relationship,as scores on X _____,scores on Y _____.

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The correlation coefficient can range from -1.00 to 0 to +1.00.

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Refer to the following data set. Refer to the following data set.   What is the slope of the regression line? What is the slope of the regression line?

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An outlier may influence the _____ of a correlation coefficient.

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