A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). Σx = 90 Σ(y - ȳ)(x - x̄) = 466 Σy = 170 Σ(x - x̄)2 = 234 n = 10 Σ(y - ȳ)2 = 1434 SSE = 505.98 The least squares estimate of the intercept or b0 equals a) -1.991. b) .923. c) -.923. d) 1.991.
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2719} \] \[ r = 0.8045 \] 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 slope or b1 equals a. .923. b. 1.991. c. -1.991. d. -.923.
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A simple regression analysis of a sample of 10 observations resulted in the following information regarding a dependent variable (y) and an independent variable (x). ΣX = 90 ΣY = 170 Σ(X - X̄)² = 234 Σ(Y - Ȳ)(X - X̄) = -468 Σ(Y - Ȳ)² = 392 Σ(Y - Ŷ)² = 1400 The least squares estimate of b₁ equals Select one: a. -.334 b. 2 c. -2 d. 0.5
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Each graphing utility screen below shows the least squares regression line for a set of data. The equations and $r$ -values for the models are given. $$\begin{aligned} &y=0.68 x+2.7\\ &y=0.41 x+2.7\\ &y=-0.62 x+10.0\\ &r=0.973\\ &r=-0.986\\ &r=0.624 \end{aligned}$$ (a) Determine the equation and correlation coefficient $(r-\text { value })$ that represents each graph. Explain how you found your answers. (b) According to the correlation coefficients, which model is the best fit for its data? Explain.
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