Pearson Sample Correlation

This is the measure of degree of the relationship between two variables.

• a. Johnson’s correlation coefficient

• b. Pearson’s correlation coefficient

• c. standard correlation coefficient

• d. Spearman Rho coefficient

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CCSS.HSS.ID.C.9

The sign (positive or negative) of the correlation coefficient indicates the ______________ of correlation between two variables.

• a. strength

• b. shape

• c. direction

• d. none of these

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CCSS.HSS.ID.B.5

What is the strength and direction of correlation between two variables having a correlation coefficient value of 0.67?

• a. perfect negative correlation

• b. weak positive correlation

• c. very weak positive correlation

• d. strong positive correlation

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What is the strength and direction of correlation between two variables having a correlation coefficient value of -1?

• a. perfect negative correlation

• b. strong negative correlation

• c. perfect positive correlation

• d. very weak positive correlation

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CCSS.HSS.ID.B.5

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

• a.. z - value

• b. scatterplot

• c. testing hypothesis

• d. Pearson’s sample correlation coefficient

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CCSS.HSS.ID.B.5

In the formula of Pearson r, what is the meaning of Σ𝑥𝑦 ?

• a. sum of x-values

• b. sum of square x-values

• c. sum of the square of paired values x and y

• d. sum of the products of paired values x and y

In computing Pearson r, which of the following is the next step after obtaining the sum of all entries in all columns in the table?

• a. Construct a table.

• b. Complete the table.

• c. Simplify and compute for the value of r.

• d. Substitute all the sum and n in the formula.

Which of the following is the range of the correlation coefficient (r)?

• a. 0 ≤ r ≤ 1

• b. 1 ≤ r ≤ -1

• c. -1 < r < 1

• d. -1 ≤ r ≤ 1

Which of the following statements about correlation is NOT correct?

• a. Every correlation has strength only.

• b. Correlation is a number from -1 and 1.

• c. A correlation can either be positive or negative.

• d. Correlation determines the direction between two variables.

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CCSS.HSS.ID.C.9

Which of the following Pearson coefficients is considered having the weakest negative correlation?

• a. 0.45

• b. -0.1

• c. -0.45

• d. -0.98

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