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CA Foundation Correlation and Regression — practice questions

27 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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If r = +1, the correlation isIf r = -1, the correlation isCoefficient of correlation between x and y is symmetric, meaningIf the regression coefficient of y on x is byx, then the slope of regression line y on x isIf r = 0, the two variables areIf byx = 0.8 and bxy = 0.5, then r equalsIf r = 0.8, sigma_x = 4, sigma_y = 5, then byx equalsIf r = 0.6, sigma_x = 3, sigma_y = 5, then bxy equalsIf r = 0 and sigma_x, sigma_y are non-zero, thenIf the rank correlation coefficient is 0.6 and number of pairs is 10, sum of squared rank differences equalsIf sum of x = 50, sum of y = 80, n = 10, then mean of x and y areIf r = 0.5 and sigma_y = 6, sigma_x = 4, the regression line y on x has slopeKarl Pearson's r is unaffected byIf two regression equations are 3x + 2y = 26 and 6x + y = 31, the means xbar, ybar areIf r = 0.6 and one regression coefficient is 0.9, the other regression coefficient isPearson's r changes sign whenIf n = 5, sum xy = 80, sum x = 15, sum y = 20, then cov(x, y) equalsKarl Pearson's r requiresIn two regression lines, if byx = 0.9 and bxy = 0.4, the angle between them isPearson's r between x = 1, 2, 3 and y = 2, 4, 6 isTwo regression lines are perpendicular whenSpearman's rank correlation for ranks (1,2,3) and (3,2,1) of three subjects isCoefficient of determination r^2 of 0.81 means proportion of variation explained equalsIf r = 0.8, byx = 0.4, then bxy equalsIf x = 5y + 10 is the regression of x on y, then bxy equalsIf byx = 1.6 and bxy = 0.4, the value of r isIf r = -0.7 and sigma_y = 10, sigma_x = 5, then byx equals