Which correlation coefficient represents the strongest downward trend in a data set?
A. -0.83
B. -0.23
C. 0.12
D. 0.92
A. -0.83
The correlation coefficient represents the strength and direction of the relationship between two variables in a data set. In this case, we are looking for the strongest downward trend, which means the closest value to -1.
Among the options given, the correlation coefficient of -0.83 (option A) represents the strongest downward trend.
The correlation coefficient measures the strength and direction of the relationship between two variables. It can range from -1 to +1, where -1 indicates a perfect negative correlation (strong downward trend), +1 indicates a perfect positive correlation (strong upward trend), and 0 indicates no linear relationship.
Among the given options, the correlation coefficient that represents the strongest downward trend in a data set is A. -0.83. The negative sign indicates a negative correlation or a downward trend, and the absolute value of 0.83 indicates a strong degree of correlation.
To calculate a correlation coefficient, you can use statistical software, spreadsheet programs, or online tools specifically designed for correlation analysis. Simply input the values of the two variables you want to analyze, and the software or tool will calculate the correlation coefficient for you.