Exam 13: Hypothesis Testing and Measures of Association for Variables Measured at the Interval-Ratio Level

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A sociologist is interested in how family income (in 1,000s of dollars) predicts number of books in the home. He produces a regression equation stating that Y = 50 + 0.25(X). -Which of the following would be an accurate interpretation of this finding?

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A researcher asked a sample of dual-wage-earner families about the percentage of the family budget that is contributed by the wife's job (Y), and about the total number of children (X). Pearson's r for this relationship is -0.34. Which of the following is an appropriate interpretation of these results?

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In what sense does "Y-predicted" provide only an "educated guess" of Y?

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Explain what is meant by a "linear relationship" and provide a brief example of such an association.

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A researcher is interested in the relationship between years of schooling and number of alcoholic drinks consumed per week. What would be an appropriate measure of association for these two variables?

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What are the two components of variation used in calculating the coefficient of determination?

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When can a perfect association between variables be seen on a scatterplot?

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A regression line from a sample of high-school students shows that the association between number of days drunk per month and achievement test scores is -5.5. Which of the following could be concluded from this result?

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The Pearson's r correlation between pets owned during one's lifetime and longevity is zero. What is the value of the slope (b)?

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The association between number of Facebook friends and screen time per day has an r2 value of 0.18. Which of these statements is the best interpretation of this statistic?

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A basketball coach claims that all variability in free-throw shooting accuracy can be explained by hours of foul shot practice spent per season. What is he claiming about the value of r2?

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Suppose the predicted value of Y in a regression equation is 10. X = 2 and b = 4. What would the Y intercept value be?

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What is the best way to describe a slope that has a value close to zero?

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What assumption about the nature of a relationship is necessary for testing Pearson's r for significance?

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Which of the following is the null hypothesis when testing Pearson's r for significance?

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A sociologist is interested in how family income (in 1,000s of dollars) predicts number of books in the home. He produces a regression equation stating that Y = 50 + 0.25(X). -From this equation, how many books would we predict for a family with an income of $40,000?

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