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.

Question

Mathematics

Terry Benton

11 October, 09:11

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.

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Answers (1)

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Marco Beasley · Answer 1

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

Step-by-step 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