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      Question

      In a two variable linear regression model, four X and Y

      values were given and value of F statistic needs to be calculated. Regression equation of X on Y is given as X = 2 + 0.7 Y.
      A 48 Correct Answer Incorrect Answer
      B 0.98 Correct Answer Incorrect Answer
      C 40 Correct Answer Incorrect Answer
      D 1 Correct Answer Incorrect Answer
      E 2 Correct Answer Incorrect Answer

      Solution

      X = 2 + 0.7 Y F = (ESS/df) / (RSS/df) N = 4 RSS (df) = 4 – 2 = 2 ESS (df) = 2-1 = 1 R2 = ESS/TSS   ESS = (bxy)2  = 0.7*0.7*20 = 9.8 TSS =  = 30 R2 = ESS/TSS = 9.8/30 = 0.33 F = (0.33/1) / (0.67/2) = 0.98

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