The Pearson correlation coefficient measures the direction and strength of the linear relationship between __ quantitative variables.
Question
The Pearson correlation coefficient measures the direction and strength of the linear relationship between __ quantitative variables.
Solution
The Pearson correlation coefficient measures the direction and strength of the linear relationship between two quantitative variables.
Step-by-step explanation:
- Pearson correlation coefficient: This is a statistical measure that calculates the strength and direction of the linear relationship between two variables.
- Measures the direction: It indicates whether the relationship between the variables is positive or negative.
- Measures the strength: It quantifies how strong the linear relationship is between the two variables.
- Linear relationship: This refers to a relationship that can be graphically represented as a straight line.
- Two quantitative variables: The Pearson correlation coefficient specifically applies to two variables that are measured on a quantitative scale (i.e., numerical data).
So, the Pearson correlation coefficient measures the direction and strength of the linear relationship between two quantitative variables.
Similar Questions
Which of the following are measured by correlation coefficienta.Linear association between two random variablesb.Direction of relationship between two variables (positive or negative association)c.A unit free value for the strength of linear relationship between two random variablesd.All of the above
A correlation coefficient consists of two things: ____________ and __________Question 7Answera.Direction and strengthb.Sign, absolute valuec.Absolute value, strengthd.Sign and direction
How to interpret Pearson correlation
Recall from Week 2: Correlation Coefficient, r The Correlation coefficient, r, is a measure of the strength and direction of a linear relationship between 2 variables X and Y Ranges between –1 and 1 • The closer to –1, the stronger the negative linear relationship • The closer to 1, the stronger the positive linear relationship • The closer to 0, the weaker the linear relationship (Also called Standardised Covariance i.e. invariant to units of measure)
The strength of the linear relationship between two numerical variables may be measured by the A. Coefficient of correlation B. Coefficient of determination C. Scatter diagram D. Slope
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