Q4M18

What is the Pearson's sample correlation coefficient used to measure?

• The mode of a dataset

• The median of a dataset

• The strength of the linear relationship between two variables

• The average of a dataset

Which of the following is the correct formula for Pearson's sample correlation coefficient r?

• r = n(Σxy) + (Σx)(Σy) / √[n(Σx²) + (Σx)²][n(Σy²) + (Σy)²]

• r = (Σxy) + (Σx)(Σy) / √[(Σx²) + (Σx)²][(Σy²) + (Σy)²]

• r = n(Σxy) - (Σx)(Σy) / √[n(Σx²) - (Σx)²][n(Σy²) - (Σy)²]

• r = (Σxy) - (Σx)(Σy) / √[(Σx²) - (Σx)²][(Σy²) - (Σy)²]

In the context of Pearson's r, what does 'n' represent?

• The number of paired values

• The sum of x-values

• The average of x-values

• The sum of y-values

Which of the following values cannot represent a correlation coefficient r?

• 0

• -0.5

• 0.75

• 1.5

What does a correlation coefficient of 0 indicate?

• Perfect negative correlation

• Perfect positive correlation

• No correlation

• Strong positive correlation

What is the first step in computing Pearson's sample correlation coefficient r?

• Construct the table

• Get the sum of all entries

• Substitute all the values

• Complete the table

Which of the following is a statistical method that measures the strength of the linear relationship between two variables?

• Variance

• Pearson’s sample correlation coefficient

• Standard deviation

• Regression analysis

What is the range of the correlation coefficient (r)?

• -1 ≤ r ≤ 1

• -1 < r < 1

• 0 ≤ r ≤ 1

• r = 0

In the formula for Pearson's r, what does Σxy represent?

• The sum of y-values

• The sum of the products of paired values x and y

• The sum of x-values

• The sum of squared x-values

Which of the following is the correct completed table for bivariate data?

• Table A

• Table B

• Table C

• Table D