Assuming a linear relationship between X and Y, if the coefficient of correlation (r) equals – 0.30, A. the variance of X is negative. B. variable X is larger than variable Y.                          C. there is no correlation.                                      D.  the slope (b1) is negative.

We first introduce the concept of correlation in the Section 2.5 notes.Consider a linear model of the relationship between two quantitative variables in which the slope coefficient is non-zero. Which of the following statements about the slope coefficient and the correlation r between the two variables is correct?Question 1Select one:a.The slope coefficient could be negative when the correlation coefficient is positiveb.The slope coefficient and the correlation coefficient should have the same sign (both positive, or both negative)c.The slope coefficient could be positive when the correlation coefficient is negatived.The correlation coefficient can only be a positive value (regardless of whether the slope is positive or negative)Clear my choice

The coefficient of correlation between the two variables X and Y is 0.6. Their covariance is 3.6 and variance of X is 4. The variance of Y is3.55.54.59

If for two variable x and y, the covariance, variance of x and variance of y are40, 16 and 256 respectively, what is the value of the correlation coefficient?(a) 0.01(b) 0.625(c) 0.4(d) 0.5

The covariance between two variables X and Y is 8.4 and their variances are 25and 36 respectively. Calculate Karl Pearson’s coefficient of correlation betweenthem.(a) 0.82(b) 0.28(c) 0.01(d) 0.09

As x increases, y decreases. positive correlation negative correlation no correlation correlation coefficient