Formulas and Calculations Simple Linear Correlation and Regression Rossi A. Hassad, PhD, MPH Pearson' Correlation Coefficient (r) NOTE: For the assignment, please organize your calculations in column format rather than horizontally, as shown here. N = 3,as there are three pairs of values (x and y).Example (Pearson's Correlation Coefficient) X Y 1 2 2 5 3 6 Simple Linear Regression Model Y = bx a X Y X- Mean X (X- Mean X)2 Y- Mean Y (X-Mean X) (Y-Mean Y) 1 2 -1 1 -2.33 2.33 2 5 0 0 .67 0 3 6 1 1 1.67 1.67 Mean = 2 Mean = 4.33 (sum) = 2 (sum) = 4 b = 4/2 = 2 a = mean of Y - b(mean of X) a = 4.33 - 2(2) a = 4.33 - 4 = .33 The regression equation: Y = 2x .33