1. true or false: The correlation coefficient is independent of the scale of measurement of the variables.
2. An r value of -1 shows that
a. x and y have a causal relationship because the value of x completely accounts for the corresponding value of y.
b. x and y do not have a causal relationship because the r value is negative.
c. x and y have a very weak relationship because the r value is less than zero.
d. x and y have a strong relationship.
1. true?
2. D?
1. False. The correlation coefficient is not independent of the scale of measurement of the variables. The correlation coefficient, denoted by 'r', measures the strength and direction of the linear relationship between two variables. However, it is sensitive to changes in the units of measurement of the variables. If the scale of measurement of either or both variables is changed (e.g., converting units from inches to centimeters), the value of the correlation coefficient will change.
2. The correct answer is not provided in the options. An r value of -1 indicates a perfect negative linear relationship between the two variables. This means that as one variable increases, the other variable decreases in a perfectly consistent manner. The options presented do not accurately reflect this interpretation. Therefore, the correct answer is not present in the provided options.