Find the least-squares regression line ŷ = bo + bjz through the points (-1,2), (2, 6), (5, 13), (7, 20), (10, 23), and then use it to find point estimates ŷ coresponding to z = 3 and z = 6. For z = 3, ŷ = For I = 6, ý =
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- Find the least-squares regression line y^=b0+b1x through the points (−2,2),(3,6),(4,15),(8,20),(12,26) and then use it to find point estimates y^ corresponding to x=4 and x=8. For x=4, y^ = For x=8, y^ =Find the least squares regression line for the points. (0, 5), (3, 3), (5, 1), (7, -4), (9, -5) 1.) y =Use the general equation for the least square regression line to show that this line always passes through the point (x,y) * bars above the x and y.That is, set x=x(with a bar above the x) and show that the line predicts that y=y (with a bar above the y).
- For a least squares regression line, the sum of the residuals is __________. always negative sometimes positive and sometimes negative always zero always positiveFind the least squares regression line for the given points. (−4,−1),(−2,0),(2,4),(4,5)Consider the points (1, 1), (2, 3), (−3, 1). Find the least squares regression line.
- Find the least-squares regression line y^ =b0+b1xy^=b0+b1x through the points (−3,1),(1,8),(6,13),(7,18),(12,27). For what value of is y^ =0? x =?Find the least-squares regression line y^=b0+b1x through the points (−1,1),(1,8),(5,14),(8,20),(11,27) and then use it to find point estimates ?̂y^ corresponding to x=1 and x=6. For x=1, y^ = For x=6, y^ =Find the least squares regression line for the data points. (Let x be the independent variable and y be the dependent variable.)(−1, 0), (1, −1), (3, −3)
- A set of paired data has a least squares regressionline with equation yn = 0.50x + 2.0 and a correlationcoefficient of r = 0.80. Suppose we convert the datafor each variable to z-scores and then compute the newregression line. What will the equation be?A) zˆy = 0.50zx B) zˆy = 0.64zxC) zˆy = 0.80zx D) zˆy = 0.50zx + 20E) zˆy = 0.80zx + 20Find the least-squares regression line y^=b0+b1xy^=b0+b1x through the points (−1,1),(1,9),(4,13),(9,19),(11,27),(−1,1),(1,9),(4,13),(9,19),(11,27), and then use it to find point estimates y^y^ corresponding to x=2x=2 and x=7x=7. For x=2x=2, y^y^ = For x=7x=7, y^y^ =Find the least squares regression line.(0, 0), (1, 1), (2, 4)