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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:

Question 2 answers



either 1.0 or -1.0


3 Answers

  • 1 decade ago
    Favorite Answer

    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.

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