question number 5. which of the following is a true statement? the correlation coefficient r is always…

question number 5. which of the following is a true statement? the correlation coefficient r is always greater than 1. if there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be -1. a negative correlation indicates that as values of x increase, values of y will decrease. the variable that is being predicted in regression analysis is the independent variable. the coefficient of determination can assume negative values. none of the above

question number 5. which of the following is a true statement? the correlation coefficient r is always greater than 1. if there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be -1. a negative correlation indicates that as values of x increase, values of y will decrease. the variable that is being predicted in regression analysis is the independent variable. the coefficient of determination can assume negative values. none of the above

Answer

Brief Explanations:

The correlation coefficient $r$ ranges from - 1 to 1. A negative correlation means that as one variable (independent, usually $x$) increases, the other variable (dependent, usually $y$) decreases. The coefficient of determination $R^{2}$ (not the same as $r$) is non - negative. In regression, the variable being predicted is the dependent variable.

Answer:

A. A negative correlation indicates that as values of x increase, values of y will decrease.