solution steps In aa simple linear regression Problem, the following sum of squa
ID: 3252599 • Letter: S
Question
solution steps In aa simple linear regression Problem, the following sum of squares are produced: sigma (y -y)^t = 200 sigma(y-y)^t = 50 and sigma(y -y)^t = 150. The percentage of the variation in y that is explained by the variation in x is; a. 25% b. 75% c. 33% d. 50% Given that the sum of squares for error is 60 and the sum of squares for regression is 140. then the coefficient of determination is: a. 0429 b. 0.300 C. 0.700 d. None of these choices. A regression line using 25 observations produced SSR = 118 68 and SSE = 56.32. The standard error of estimate was: a. 2.11 b. 1.56 c. 2.44 d. None of these choices. Given the least squares regression line y = 2 48 - 1 63x. and a coefficient of determination of 0.81, the coefficient of correlation is: a. -0.66 b. 0.81 C. -0.90 d. 0.90Explanation / Answer
12) required answer is SSR/SST = 150/200 = 0.75 = 75 %
13) coefficient of determination = SSR /SST
SST = SSR +SSE
SSr = 140 ,SSe = 60
hence 140/(140+60) = 140/200 = 0.7
14) = SSE/(n 2) = sqrt(56.32/23) = 1.56483
15)
coefficient of corelation = i* sqrt(coefficient of determination) =i* sqrt(0.81) =i* 0.90 ,
where i is +1 or -1
since coefficient of x is negative , i = -1
hence -0.90
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