Exam 10: Relationships Between Measurement Variables

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Suppose the correlation between two measurement variables is −1.Which of the following statements is not true?

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Which of the following is true if a relationship is found to be statistically significant?

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For Questions , use the following narrative Narrative: Study time and exam score Suppose an algebra professor found that the correlation between study time (in hours) and exam score (out of 100) is +.80, and the regression line was found to be y = 20 + 4x.He arrived at this equation through years of collecting data on his students, most of whom reported studying anywhere from 0 to 20 hours for his exams. -{Study time and exam score narrative} What meaning (if any) does the slope of 4 have in this situation? Use words that a non-statistics student would be able to understand.

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Which of the following is a correct interpretation of a correlation?

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Determine whether or not the following statement could be statistically correct.If not, explain why not."The correlation between tree diameter and weight of fruit harvested was found to be 2.3."

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For Questions , use the following narrative Narrative: Study time and exam score Suppose an algebra professor found that the correlation between study time (in hours) and exam score (out of 100) is +.80, and the regression line was found to be y = 20 + 4x.He arrived at this equation through years of collecting data on his students, most of whom reported studying anywhere from 0 to 20 hours for his exams. -{Study time and exam score narrative} In order to get a 100 on this exam, how long should students expect to study (minimum)?

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Suppose a researcher examined 100 possible relationships between the different measurement variables in her study, and found five of them to be statistically significant.Would these five statistically significant relationships have been more, less, or equally meaningful if they had been the only five relationships that were examined in her study?

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Which of the following describes a strong statistical correlation?

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Correlation measures the strength of a certain type of statistical relationship between two variables.What type(s) of variables can the two variables be?

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Which of the following statements is true?

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Assuming there is a statistical relationship between height and weight for adult females, which of the following statements is true?

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Explain why 5% of all relationships that occur by chance alone will erroneously earn the title of being 'statistically significant.'

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Which of the following describes a 'detrended' time series?

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Determine whether or not the following statement could be statistically correct.If not, explain why not."The correlation between tree diameter and tree height in feet is .69.In yards, this correlation would become .69/3 = .23."

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For Questions , use the following narrative Narrative: Crickets and temperature A researcher wants to explore the relationship between cricket chirps and temperature.The following scatterplot shows data collected over a random sample of 8 days.Each day, the temperature was recorded, as well as the number of times a cricket chirped in 15 seconds.The correlation was found to be over .90.The least squares line was found to be Temperature (in Fahrenheit) = 40 + 1.0 × (#Chirps in 15 seconds). For Questions , use the following narrative Narrative: Crickets and temperature A researcher wants to explore the relationship between cricket chirps and temperature.The following scatterplot shows data collected over a random sample of 8 days.Each day, the temperature was recorded, as well as the number of times a cricket chirped in 15 seconds.The correlation was found to be over .90.The least squares line was found to be Temperature (in Fahrenheit) = 40 + 1.0 × (#Chirps in 15 seconds).   -{Crickets and temperature narrative} For about what range of cricket chirps can the researcher feel comfortable about making temperature predictions? -{Crickets and temperature narrative} For about what range of cricket chirps can the researcher feel comfortable about making temperature predictions?

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