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(3) For the following set of scores: X Y X-Mx Y-MY (x-1) (Y-Mx) (x-x)(x-x) 36 6 [ 3 1 4 6 1 2 -2
(3) For the following set of scores: X Y X-Mx Y-MY (x-1) (Y-Mx) (x-x)(x-x) 36 6 [ 3 1 4 6 1 2 -2 4 3 1- 1 4 0 3 3 -1 0 0 5 1 -2 1 -2 SP = -10 SSX = 8 , SSY=18 , (a) Find the regression equation for predicting Y from X. Show your work. 72bxta Mx=2015=4 MY=15/5=3 5=58/55x b=59 -10 b= r st SSX =.25 8 = -1.25(x)+.25 Sx 9-My-bmx (d) Does the regression equation account for a statistically significant portion of the variance? Assume that = 0.05, and show your work. The final F statistic will be 6.804 if you keep three decimal places of precision. Predicted variability =SS, regression = +2 SS Unpredicted variability = SS residual (1-+2) SS+ Pearsons SP = 8.1=-12=-0.83 0-2=3 SS regression= (0.83)+18=12.4 SS residual (1-83)+18=.52 df=3= dfcebidual MS regression regression 12.4 = dfregression MS residual= SS residual .52 = df residual F = MS regression MS residual 2.13
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