Exam 14: Pearson Correlation and Regression: Inferential Aspects

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In a regression equation,the variable from which predictions are being made (or_______)is known as a(n)______ variable.

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Imagine you are interested in researching the relationship between job experience and income among early-career working professionals.You take a random sample of 32 professionals from the nearest city,and you ask them to report their annual income and submit a resumé outlining their professional experience.You later calculate their years of experience from their resumés.You compute the following information: Imagine you are interested in researching the relationship between job experience and income among early-career working professionals.You take a random sample of 32 professionals from the nearest city,and you ask them to report their annual income and submit a resumé outlining their professional experience.You later calculate their years of experience from their resumés.You compute the following information:   What is the observed t-value for testing the null hypothesis? What is the observed t-value for testing the null hypothesis?

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In hypothesis testing for the correlation,if the null hypothesis is rejected and the sample correlation coefficient is positive,this indicates that in the population the correlation coefficient is also ____________________.

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If an experimental research strategy was used (i.e.,random assignment and control of extraneous variables),then causality can be inferred from a statistically significant correlation.

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Which of the following is NOT one of the assumptions of the Pearson correlation?

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The ability to make a causal inference between two variables is a function of the ______.

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If the test of a Pearson correlation yields statistically significant results,researchers will sometimes pursue analysis of the:

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The linear model states that a person's score on Y is a linear function of X,with â representing the intercept and á representing the slope.

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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 What is the regression line for this 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 What is the regression line for this data? SSX = 40 SSY = 136 What is the regression line for this data?

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If X helps to predict Y,then the estimated standard error of estimate will be _____ than the estimated standard deviation of _____.

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How can regression analysis be applied to individuals who were not included in the original data set?

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Which of the following values represents the weakest correlation between variables?

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An important characteristic of regression is that _____ can be extended to individuals who were not included in the original data set.

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An investigation of the relationship between years of formal education and IQ that was conducted with a sample size of 100 found a statistically significant correlation of .25.Another investigation of the same relationship had the same r value based on a sample size of 10,but it was not statistically significant.Why might this be?

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r2 is formally known as ____________________.

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

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The nature of the relationship between two correlated variables is determined through examination of the _____ of the correlation coefficient observed in the _____.

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If you compute a statistically significant negative r between two variables (X and Y),this tells you that _____.

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A researcher believes that an extroverted personality is positively related to self-esteem.She obtains measures of both variables for 25 people,and calculates a correlation coefficient of .35.If the alpha level is .05,directional test,how would this result be reported in a psychological journal?

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Imagine you are interested in researching the relationship between job experience and income among early-career working professionals.You take a random sample of 32 professionals from the nearest city,and you ask them to report their annual income and submit a resumé outlining their professional experience.You later calculate their years of experience from their resumés.You compute the following information:  Imagine you are interested in researching the relationship between job experience and income among early-career working professionals.You take a random sample of 32 professionals from the nearest city,and you ask them to report their annual income and submit a resumé outlining their professional experience.You later calculate their years of experience from their resumés.You compute the following information:   After comparing the observed correlation to the critical values of   \pm 2.042,what would your conclusion be regarding the true correlation in the population (r)? After comparing the observed correlation to the critical values of ±\pm 2.042,what would your conclusion be regarding the "true" correlation in the population (r)?

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