Final answer:
If the coefficient of determination is 0.94, it indicates that 94% of the variation in the dependent variable is explained by the variation in the independent variable. the correct conclusion is c) 94% of total variation of one variable is explained by variation in the other variable.
Step-by-step explanation:
When analyzing the strength and direction of a relationship between two variables in statistics, we use two important measures: the correlation coefficient (r) and the coefficient of determination (r²). The correlation coefficient ranges from -1 to +1 and indicates the strength and direction of the linear relationship between variables. A correlation coefficient of -1 or +1 indicates a perfect linear relationship, while a coefficient of 0 indicates no linear relationship.
The coefficient of determination, which is the square of the correlation coefficient, represents the proportion of the variance in the dependent variable that is predictable from the independent variable. For example, if the coefficient of determination (r²) is 0.94, it means that 94% of the total variation in one variable is explained by variation in the other variable through the regression line.
Given this explanation, if the coefficient of determination is 0.94, the correct conclusion is c) 94% of total variation of one variable is explained by variation in the other variable.