Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

# can any one answer?

f all the points in a scatter diagram lie on the least squares regression line, then the coefficient of correlation must be:

1.0

-1.0

either 1.0 or -1.0

0.0

Relevance
• 1 decade ago

The correlation coefficient describes the closeness of the points on a scatter diagram to the least squares regression line. If the points all lie on the least square regresion line and the line has a positive gradient the correlation coefficient is 1. Similarly if the points all lie on the line and the line has a negative gradient the

coefficient is -1.

So the best answer is:

c) either 1.0 or -1.0

• 1 decade ago

The answer is "Either 1.0 or -1.0".

If all the points in the scatter diagram are on the least squares line, then, they exhibit a perfect linear correlation between them, so their co-efficient is either +1, or -1, depending on the slope of the regression line.

trust this helps... :-)

• 1 decade ago

1 or -1

The magnitude of this coefficient indicates the linearty of the data: as it goes up as the data points become more linear.

The sign indicates the slope of the line.