Question

Which of the following is NOT a requirement in determining whether there is a linear correlation between two​ variables?Choose the correct answer below.

A.Any outliers must be removed if they are known to be errors.
B.A scatterplot should visually show a​ straight-line pattern.
C.The sample of paired data is a simple random sample of quantitative data.
D.If rgreater than​1,then there is a positive linear correlation.

Answer 1

Option d is right

Explanation:

We know that a linear correlation is a measure of association between two variables dependent and independent variable. r always lies between -1 and 1 both inclusive. If r is nearer to 0 weak correlation and if |r| is near to 1 there is a stronger correlation.

Positive sign of r implies positive association and negative r implies negative association.

Hence out of the four options given about correlation we have

Option a is right because removal of outliers confirm accurate correlation

Option B is right because only if linear pattern is visible, correlation will be right

Option C is right because only for numerical data r can be calculated

Option d is wrong because correlation lies always between -1 and 1 both inclusive.