The following regression equation was computed from a sample of 20 observations: = 15 - 5X SSE was found to be 100 and SS total 400. (Round your answers to 3 decimal places.) Source SS df MS F Regression 53.996 Error Total (a) Determine the standard error of estimate. (Round your answer to 3 decimal places.) syx (b) Determine the coefficient of determination. (Round your answer to 3 decimal places.) r2 (c) Determine the coefficient of correlation. (Round your answer to 3 decimal places.) r =
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syx = sqrt(100 / 18) = sqrt(5.556) ≈ 2.357 Show more…
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The following regression equation was computed from a sample of 20 observations: $$ \hat{y}=15-5 x $$ SSE was found to be 100 and SS total was 400 . a. Determine the standard error of estimate. b. Determine the coefficient of determination. c. Determine the correlation coefficient. (Caution: Watch the sign!)
Adi S.
Here is partial output from a simple regression analysis. The regression equation is EAFE = 4.76 + 0.663 S&P Analysis of Variance Source DF SS MS F P Regression 1 3445.9 3445.9 9.50 0.005 Residual Error Total 29 13598.3 Calculate the values of the following: The regression standard error, se (Round to 3 decimal places) The coefficient of determination, r 2 (Round to 4 decimal places) The correlation coefficient, r (Round to 4 decimal places)
Based on the set of data given in Table 2.25, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracy. $$\begin{array}{|c|c|c|c|c|c|}\hline x & {16} & {18} & {20} & {24} & {26} \\ \hline y & {106} & {110} & {115} & {120} & {125} \\ \hline\end{array}$$
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