Consider the data. X; 1 2 3 4 Y; 3 8 11 12 The estimated regression equation for these data is ý = 1.50 + 2.10x. (a) Compute SSE, SST, and SSR using equations SSE = E(y, -ŷ)², SST = E(y, - y)², and SSR = E(§, - y)². SSE = SST = SSR = b) Compute the coefficient of determination r2. Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) The least sauares line did
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The estimated regression equation is
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4Given are five observations collected in a regression study on two variables. xi 2 6 9 13 20 yi 7 18 9 26 23 Compute b0 and b1 (to 1 decimal).b1 b0 Complete the estimated regression equation (to 1 decimal).^y = + x Use the estimated regression equation to predict the value of y when x = 6 (to 1 decimal).^y =The grades of a sample of 9 students on a prelim exam (x) and on the midterm exam (y) are shown below. Find the regression equation. y = 34.661 + 0.433x y = 0.777 + 12.0623x y = 12.0623 + 0.777x y = 34.661 - 0.433x
- 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 decimalsConsider the following data for two variables, x and y. x 9 32 18 15 26 y 9 19 20 15 22 Develop an estimated regression equation for the data of the form ŷ = b0 + b1x + b2x2. (Round b0 to two decimal places and b1 to three decimal places and b2 to four decimal places.) ŷ = (c) Use the model from part (b) to predict the value of y when x = 20. (Round your answer to two decimal places.)
- Given are five observations for two variables, x and y.xi -3 12 6 20 14yi -55 40 55 10 15 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. y= ____________________ Use the estimated regression equation to predict the value of y when x = 7. _____________________________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 collected in a regression study on two variables. xi 2 6 9 13 20 yi 7 18 9 26 23 Develop the estimated regression equation for these data. ŷ = (c) Use the estimated regression equation to predict the value of y when x = 20.
- The prelim grades (x) and midterm grades (y) of a sample of 10 MMW students is modeled by the regression line y = 12.0623 + 0.7771x. Estimate the prelim grade if the midterm grade is 83.Based on the table below, compute the regression line that predicts Y from X. MX MY sX sY r10 12 2.5 3.0 -0.6Given are five observations collected in a regression study on two variables. xi 2 6 9 13 20 yi 9 18 8 25 21 (b) Develop the estimated regression equation for these data. ŷ = (c) Use the estimated regression equation to predict the value of y when x = 13.