PRC-2 · Chapter 10 · Question 37 of 60
If the correlation coefficient between variables X and Y is exactly 0.00, what visual pattern would their scatter diagram most likely present?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) A randomly dispersed cloud of points with no discernible linear trend.
Explanation
An 'r' value of 0 mathematically indicates that there is absolutely no linear correlation between the two variables, resulting in a random scatter of data points across the coordinate plane.
More Correlation and Regression MCQs
- Q39Which of the following is a significant mathematical risk when using a linear regression model for 'extrapolation'?
- Q40If variable X and variable Y exhibit a 'perfect positive correlation', what must be the mathematical value of r?
- Q41A regression line of Y on X must always mathematically pass through which specific coordinate point on a scatter diagram?
- Q42What does a correlation coefficient (r) of -0.92 mathematically indicate about the relationship between two variables?
- Q43In a regression analysis testing how rainfall (in mm) affects crop yield (in tons), which variable is considered the 'independent variable'?