PRC-2 · Chapter 10 · Question 51 of 60
If the calculated 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 demonstrating absolutely no discernible linear trend.
Explanation
An 'r' value of 0 mathematically dictates that there is absolutely no linear correlation between the two variables, resulting in a completely random scatter of data points across the coordinate plane.
More Correlation and Regression MCQs
- Q53Which of the following describes a significant statistical risk when utilizing a linear regression model for 'extrapolation'?
- Q54In a regression analysis testing how the amount of fertilizer applied (in kg) affects the total crop yield (in tons), which variable is…
- Q55Which specific mathematical criterion does the 'Method of Least Squares' utilize to determine the optimal line of best fit?
- Q56A regression line predicting total factory cost (Y) based on units produced (X) is given exactly as Y = 15,000 + 60X. What is the…
- Q57If you calculate the regression line of Y on X, and then subsequently calculate the regression line of X on Y, under what strict…