Question

The following quotes represent statements by students on statistics exams. All but one have errors in them. Which one is free of errors? The variables have a correlation of 1.96 The correlation between students' genders and their height is 0.92. O There is almost no correlation between the variables, since r -0.998. O If the correlation coefficient is less than zero, the slope of the regression line will be negative.

Answer 1

d) If the correlation coefficient is less than zero, the slope of the regression line will be negative.

Explanation:

We have to find the statement free of errors.

a) The variables have a correlation of 1.96

The above statement is wrong as coefficient of correlation ranges from 0 to 1.

b) The correlation between students' genders and their height is 0.92.

The given statement is wrong as gender is a categorical variable.

c) There is almost no correlation between the variables, since r -0.998.

The given statement is wrong as there is a strong negative correlation between the two variable.

d) If the correlation coefficient is less than zero, the slope of the regression line will be negative.

The following statement is correct