Exam 6: Correlation and Regression

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To determine whether a correlation coefficient is small, medium, or large

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Suppose that college grade point average and the verbal portion of an IQ test had a correlation of .63. What percent of the variance do those two have in common?

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"I started with just a little, mild punishment. Over the weeks I punished him more and more frequently. Sure enough, during this time his disruptive behavior has become less and less of a problem." The correlation between punishment and disruptive behavior is

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Bivariate distributions are required for calculating correlation coefficients.

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Cohen's guidelines (which do not apply to all applications) are that small, medium, and large values of r correspond to

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Whether a correlation coefficient is considered small, medium, or large is a question of

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Which of the following statements describes a positive correlation?

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Data Set 6-10: The correlation between a score based on anthropometric measurements (height, strength, reaction time and others) and college GPA is .05. Your task will be to predict GPA, given the anthro measurements. Be sure you set this up properly and work precisely (3 or 4 decimal places.). Mean 2.6 20 Standard Deviation 0.7 4 -Based on Data Set 6-10, predict a GPA for a person whose anthro data score was 15.

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There is a strong positive relationship between students' critical reading ability and math ability.

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Given the regression equation, Y^\hat { Y } = 62 + 0.4X, where X is length at birth and Y is adult height, what adult height would you predict for a baby 20 inches long at birth?

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Which of the following statements describes a negative correlation?

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To find the value of the cross products for a correlation coefficient, multiply the two means.

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A correlation coefficient of about -.7 goes with the relationship between

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Data Set 6-4 X Y 1 4 2 5 3 6 -In Data Set 6-4, Σ\Sigma XYis

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Look at the three sets of distributions below and without doing any calculations, label them as positive or negative correlations. - X Y 10 6 8 9 7 7 7 8 5 10 2 12

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The story on Bluma Zeigarnik, the Russian Gestalt psychologist for whom the Zeigarnik Effect is named, is that her first clue that people remember uncompleted tasks better than completed ones was at her favorite restaurant in Berlin. It seems that her regular waiter could remember tons of details about customers who did not pay their bills but little about those who did. Here are some data that illustrate her observations. The X variable is the number of months a bill was outstanding for a customer and Y was the number of items the waiter could recall about the customer. X Y 6 11 7 10 7 13 8 15 9 14 a. Compute r. b. Compute the regression coefficients and give the regression equation. c. Predict the value of Y from an X value of 7.5. d. Interpret what you have found.

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The numerator of the definitional formula of the correlation coefficient is the product of z scores.

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Data Set 6-8 X Y 1 4 2 3 2 2 -In Data Set 6-8, the Pearson correlation coefficient is

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Explain the meaning of the following statements. a. "The self-confidence of that group of recruits is negatively correlated with their chances of getting through the course." b. "There seems to be no correlation between how productive these faculty members are and the size of their salaries." c. "There's a strong positive correlation between the quality of facilities and proximity to the administration building."

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Correlation coefficients cannot be used to establish a cause and effect relationship.

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