Question

If the correlation coefficient in an ordinary least squares regression = 1.00, then A. all the data points must fall exactly on a straight line with a positive slope. B. all the data points must fall exactly on a straight line with a slope that equals 1.00. C. all the data points must fall exactly on a horizontal straight line with a zero slope. D. all the data points must fall exactly on a straight line with a negative slope.

Answer 1

Answer: Option A is correct.

Step-by-step explanation:

• The correlation coefficient(r) is a statistical measure that computes the strength of the relationship between two variables.

It lies between -1 and 1.

If the correlation coefficient in an ordinary least squares regression = 1.00.

That indicates that there is a perfect relationship between the variables.

i.e. all the data points must fall exactly on a straight line with a positive slope. .

[when r is positive, the slope of the line is positive].

i.e. option A is correct.