In a random sample of 28 high school students, the linear correlation coefficient R between the perception of the test difficulty (on a scale of 1 to 10) and the amount of sleep the night before (in hours) was – 0.473 Is the correlation statistically significant at α=0.05 level of significance? (95% confidence level ?) Explain your answer in the context of the problem: What can be inferred about the association of the two variables in the population?

In a random sample of 28 high school students, the linear correlation coefficient R between the perception of the test difficulty (on a scale of 1 to 10) and the amount of sleep the night before (in hours) was – 0.473 Is the correlation statistically significant at α=0.05 level of significance? (95% confidence level ?) Explain your answer in the context of the problem: What can be inferred about the association of the two variables in the population?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 8E

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Question

Is the correlation statistically significant at α=0.05 level of significance? (95% confidence level ?)

Explain your answer in the context of the problem: What can be inferred about the association of the two variables in the population?

Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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