Question

Which of the following statements are true? select all that apply. 1)The correlation coefficient gives us information as to how strong the linear association is between two quantitative variables, 2) The Correlation coefficient has units of measurement and does always lie between -1.0 and +1.0 3) The closer the absolute value of r is to 1, the stronger the relationship is between the two variables. 4) A correlation coefficient of r=0 indicates a strong linear relationship between two variables.

Answer 1

Answer:

Statement 1 and 3 are true.

Step-by-step explanation:

For statement 1:

Statement 1 is true as correlation is the relationship between two linear quantities so the statement is true.

For statement 2:

The correlation coefficient has no units. When the coefficient of correlation is calculated, the units of both quantities are cancelled out. So the statement that correlation coefficient has units is false.

But the statement that the value is between -1.0 and +1.0 is correct. The one means that there is perfect correlation.

Overall the statement is false.

For statement 3:

Yes, the statement is true. As 1 means perfect positive correlation, the value of correlation more inclined towards one means that there is a strong relationship between the two quantities.

For statement 4:

The statement is false. The value zero of correlation coefficient means that there is no relationship between the quantities..