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This quiz contains 9 questions from a mix of 1 subtopics.

Which of the following is true about the interpretation of correlation coefficients?

a coefficient near -1 indicates no correlation

a coefficient near 0 indicates a perfect linear correlation

a coefficient near -1 indicates a strong negative correlation

a coefficient near +1 indicates a strong negative correlation

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Which of the following is true about a positive correlation?

one variable increases while the other decreases

the correlation coefficient is always close to 0

there is no clear relationship between the variables

both variables increase or decrease together

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What is the purpose of comparing the calculated correlation coefficient to a critical value at a 5% significance level?

to determine the direction of the correlation

to determine the significance of the correlation

to determine the strength of the correlation

to determine the linearity of the correlation

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What does a correlation coefficient of 1 indicate?

a strong negative correlation

no correlation

a perfect positive linear correlation

a perfect negative linear correlation

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Which of the following is true about a negative correlation?

there is no clear relationship between the variables

both variables decrease together

both variables increase together

one variable increases while the other decreases

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What does a correlation coefficient close to 0 suggest?

no correlation

a perfect linear correlation

a strong positive correlation

a strong negative correlation

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Which of the following is true about Pearson's correlation coefficient (r)?

it is used when one or both variables are not normally distributed

it is used for discontinuous variables

it is used for continuous variables

it measures the strength of a non-linear relationship

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What does an r value near +1 indicate in Pearson's correlation?

no correlation

a strong negative correlation

a perfect negative linear correlation

a strong positive correlation

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In the Pearson's correlation coefficient formula, what does xˉ represent?

the sum of all x values

the difference between each x value and the mean of x

the mean of all x values

the standard deviation of x

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