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Question

What type of relationship exists between two variables, if all points on the scatter diagram appear to fall on a straight line going upward from left to right?

The correct answer is

Perfect positive correlation

If every observation lies on the same upward-sloping straight line, the linear relationship is perfect and positive: \(r=+1\). “Perfect positive correlation” is the most precise description.

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Important Questions from Correlation Analysis - Teaching

  1. An experiment consists of tossing a coin 20 times. Such an experiment is performed 50 times. The number of heads and the number of tails in each experiment are noted. What is the correlation coefficient between the two?

  2. Find the coefficient of correlation if given, cov(x, y) = 420, \(\sigma_x^2 = 484\), and  \(\sigma_y^2 = 441\)

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