If the coefficient of determination is .32 and SS_Y = 150,then what is the sum of squares residual for an analysis of regression? A) 48 B) 102 C) 150 D) there is not enough information to answer this question

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The coefficient of determination (R-squared) is equal to the explained variation (SSR) divided by the total variation (SST). R-squared = SSR/SST 0.32 = SSR/(SSR+SSE) where SSE is the sum of squares error or residual. Therefore, SSE = SSR/0.68 We are given that SSR = SS_Y = 150. So, SSE = 150/0.68 = 220.59 (rounded to 2 decimal places) Therefore, the sum of squares residual is approximately 221, which is closest to option B (102).

If the Coefficient of Determination Is