Results

cases [i]	X	Y	Xi-	SSx = (Xi-)2	Yi-	SSy = (Yi-)2	Cross Productxy = (Xi-) * (Yi-)
1	0	-1.02	-0.5	0.25	-1.160	1.344	0.580
2	0	1.42	-0.5	0.25	1.281	1.640	-0.640
3	0	-0.26	-0.5	0.25	-0.400	0.160	0.200
4	0	-0.05	-0.5	0.25	-0.190	0.036	0.095
5	0	1.86	-0.5	0.25	1.721	2.960	-0.860
6	0	0.68	-0.5	0.25	0.541	0.292	-0.270
7	0	0.05	-0.5	0.25	-0.090	0.008	0.045
8	0	0.27	-0.5	0.25	0.131	0.017	-0.065
9	0	2.47	-0.5	0.25	2.331	5.431	-1.165
10	0	-1.39	-0.5	0.25	-1.530	2.339	0.765
11	1	-0.84	0.5	0.25	-0.980	0.959	-0.490
12	1	0.12	0.5	0.25	-0.020	0.000	-0.010
13	1	-0.57	0.5	0.25	-0.710	0.503	-0.355
14	1	-1.09	0.5	0.25	-1.230	1.512	-0.615
15	1	0.21	0.5	0.25	0.071	0.005	0.035
16	1	-0.13	0.5	0.25	-0.270	0.073	-0.135
17	1	0.94	0.5	0.25	0.801	0.641	0.400
18	1	0.87	0.5	0.25	0.731	0.534	0.365
19	1	-0.35	0.5	0.25	-0.490	0.240	-0.245
20	1	-0.40	0.5	0.25	-0.540	0.291	-0.270
Σ =	10	2.79		5.00		18.985	-2.635

• Calculate the sum of all X: ΣX_i = 10
• Calculate the mean for X: = ΣX_i / n = 0.5
• Calculate for each case: (X_i-)
• Calculate for each case: (X_i-)²
• Sum the squares for SS_x = 5.00
• Calculate the sum of all Y: ΣY_i = 2.79
• Calculate the mean for Y:  = ΣY_i / n = 0.1395
• Calculate for each case: (Y_i-)
• Calculate for each case: (Y_i-)²
• Sum the squares for SS_y = 18.985
• Count the number of cases: n = 20
• Calculate the Crossproduct_xy for each case: (X_i-) * (Y_i-)
• Sum the Crossproducts_xy = -2.635
• Calculate the slope: b = Σ(X_i-)(Y_i-) / Σ(X_i-)² = -2.635/5.00 = -0.527
• Calculate the intercept: a =  - b = 0.1395 - (-0.527 * 0.5) = 0.403
• The prediction equation for your regression line is: Y = 0.403 - 0.527X