Compute R2 (to 3 decimals). Compute Ra2 (to 3 decimals). How good is the fit provided by the estimated regression equation?
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The values of SST and SSR are 1,808 and 1,760, respectively.
- Compute R2 (to 3 decimals).
- Compute Ra2 (to 3 decimals).
- How good is the fit provided by the estimated regression equation?
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- The following estimated regression equation is based on 30 observations. ^y=17.2+3.6x1-2.2x2+7.8x3+2.9x4 The values of SST and SSR are 1805 and 1762, respectively. Compute R2 (to 3 decimals). Compute R2u (to 3 decimals).The following estimated regression equation is based on 30 observations. ŷ = 18.3 + 3.9x1 − 2.2x2 + 7.5x3 + 2.5x4 The values of SST and SSR are 1,805 and 1,762, respectively. a. Compute R2 = (to 3 decimals). b. Compute Ra2 = (to 3 decimals).The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x1 − 2.3x2 + 7.6x3 + 2.7x4 The values of SST and SSR are 1,808 and 1,780, respectively. (a) Compute R2. (b) Compute Ra2. (c) Comment on the goodness of fit.
- Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 3 8 6 10 13 (d) Develop the estimated regression equation by computing the values of b0 and b1 using b1 = Σ(xi − x)(yi − y) Σ(xi − x)2 and b0 = y − b1x. ŷ = (e) Use the estimated regression equation to predict the value of y when x = 2.Given are five observations for two variables, and . 1 2 3 4 5 3 7 7 10 14 d. Develop the estimated regression equation by computing the values of b0 and b1 (to 1 decimals). + e. Use the estimated regression equation to predict the value of y when x=3 (to 1 decimals).The exercise involving data in this and subsequent sections were designed to be solved using Excel. The following estimated regression equation is based on 30 observations. ^y = 17.2 + 3.6x1 – 2.2x2 + 7.8x3 – 2.9x4 The values of SST and SSR are 1,805 and 1,762 , respectively. Compute R2 (to 3 decimals).
- Use the following table to find the equation of the regression line, between x and y x312304y210342The following estimated regression equation based on 10 observations was presented. ŷ = 29.1260 + 0.5306x1 + 0.4680x2 The values of SST and SSR are 6,728.125 and 6,215.375, respectively. (a) Find SSE. SSE = (b) Compute R2. (Round your answer to three decimal places.) R2 = (c) Compute Ra2. (Round your answer to three decimal places.) Ra2 = (d) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation. The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.The exercise involving data in this and subsequent sections were designed to be solved using Excel. The following estimated regression equation is based on 30 observations. Y^ = 17.7 + 3.8x1 – 2x2 + 7.4x3 + 2.7x4 The values of SST and SSR are 1,809 and 1,762, respectively. Compute R2 (to 3 decimals). Compute R2a ? (to 3 decimals).
- A set of X and Y scores has Mx=4, SSx=10, My=5, SSy = 40, and SP=20. What is the regression equation for predicting Y from X?Given are five observations for two variables, x and y. x 1 2 3 4 5 y 4 7 7 11 13 Develop the estimated regression equation by computing the values of b0 and b1 (to 1 decimals).y=___________ + ___________xUse the estimated regression equation to predict the value of y when x=3 (to 1 decimals). y=___________Given are five observations for two variables, x and y. x 5 11 8 23 18 y 50 47 50 10 23 Develop the estimated regression equation by computing the values of b0 and b1 using equations: (Enter negative values as negative figure) y=___________+___________x (to 2 decimals) Use the estimated regression equation to predict the value of y when x=14. y=______________(to 2 decimals