Question

Which of the following represents a weak positive correlation? And explain.

R= 0.8

R= 0.2

R= 0.5


Which of the following is not possible value for the correlation coefficient (r)?

2

0

0.34

Answer 1

1. R= 0.2
2. 2

Explanation:

explaining the answer to 1

I'll explain everything so you understand.

The correlation coefficient tells us about the strength of the relationship between the variables. In other words, it tells us how well the data fits on the line of best fit.

So, the closer the points lie on the line of best fit the stronger the relationship and correlation.

The further the points lie from the line of best fit, the weaker the correlation

It is important to note that the correlation coefficient (r) always lies between -1 and 1.

So, the closer the value of r lies to -1 or 1 the stronger the relationship between the variables.

The closer the value of r is to 0 the weaker the relationship between the variables and the weaker the correlation.

explaining the answer to 2

the correlation coefficient (r) always lies between -1 and 1 so it can't be 2.

Hope this helps.