Question

​For which of the following correlations would the data points be clustered most closely around a straight line?

r = 0.10
r = 0.50
r = ?0.80
There is no relationship between the correlation and how close the data points are to the line.

Answer 1

The correct option is C) r=-0.80

Explanation:

Consider the provided information.

Properties of r in a scatter plot:

The value of r is between -1 and +1.

If the value of r is positive then it associated with positive relationship if the value of r is negative it associated with negative value.

The greater value of r would be closely around a straight line(Regardless of sign).

Now consider the provided relation.

The use of regression line is to minimize the distance between projections and real values.

Correlation is inversely proportional to difference between predicted values and actual values.

So for good fit we just need to look for the highest value of r regardless of the sign.

From the provided options the highest value of r=-0.80

Thus, the correct option is C) r=-0.80