A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). ?X = 90 ?Y = 170 n = 10 SSE = 505.98 ? (Y -Y bar )(X - X bar ) = 466 ? (Y - Y bar)2 = 1434 ? (X - X bar)2 = 234 Refer to Exhibit 12-9. The coefficient of determination equals 0 -0.6472 0.6472 1
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It is calculated as the square of the correlation coefficient. The correlation coefficient (r) is calculated as follows: r = Σ (Y - Y bar)(X - X bar) / sqrt [ Σ (Y - Y bar)² * Σ (X - X bar)² ] Given the information in the question, we can substitute the given Show more…
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A regression and correlation analysis resulted in the following information regarding a dependent variable ( y) and an independent variable ( x). Σx = 90 Σ(y - )(x - ) = 466 Σy = 170 Σ(x - )2 = 234 n = 10 Σ(y - )2 = 1434 SSE = 505.98 The least squares estimate of the intercept or b0 equals a. -.923. b. 1.991. c. -1.991. d. .923.
Adi S.
. Regression analysis problem: Determine the correlation coefficient and coefficient of determination for the following data. Interpret the relationship between X and Y. X 5 3 6 3 4 4 6 8 Y 13 15 7 12 13 11 9 5 Correlation coefficient is _______________? Coefficient of determination is _______________? Interpretation:
Supreeta N.
Use the value of the linear correlation coefficient $r$ to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. $r=0.885(x=\text { weight of male, } y=\text { waist size of male })$
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