Correlation, Covariance, and Independence Quiz

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15 Questions

Which among the given options is the regression line of 𝑥 on 𝑦?

𝑥 + 2𝑦 = 5

What is the regression line of 𝑋 on 𝑌 given the data?

𝑋 = 4.5 + 0.5𝑌

What happens to the mean and median in a positively skewed distribution?

Mean > Median

For the dataset: 35, 42, 50, 53, 61, 70, 85, what is the range?

55

What is the mode of the dataset: 12, 15, 18, 18, 20, 22, 25, 30?

18

In a dataset of 20 daily temperatures in Celsius, what would be the most appropriate measure of central tendency to use?

Median

For a dataset with a positively skewed distribution, how is the mean compared to the median?

Mean is greater than the median

The coefficient of variation (CV) for Dataset A with a standard deviation of 8 and a mean of 40 is approximately:

10%

What is the interquartile range (IQR) for the dataset: 35, 42, 50, 53, 61, 70, 85?

25

Which of the following represents the regression line of 𝑥 on 𝑦?

3𝑥 - 2𝑦 = 5

Given 𝜎𝑥 = 12, what can be inferred about the standard deviation 𝜎𝑦 for 𝑌?

𝜎𝑦 < 𝜎𝑥

What is the standard deviation 𝜎𝑦 for 𝑌, given 𝜎𝑥 = 12?

14

In a positively skewed distribution, how is the mean compared to the median?

Mean is greater than median

What is the coefficient of variation (CV) for Dataset A with a standard deviation of 8 and a mean of 40?

20%

For a dataset with a positively skewed distribution, what happens to the range?

Range increases

Test your knowledge of correlation, covariance, regression coefficients, independence, and variances of random variables with this quiz. Solve problems involving the calculation of correlation coefficients, covariance, variances, and means.

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