1)total variation is given by SSy =(y-)2 which for this data is 976.8720
2) the value of r2 is =764.5982/ 976.8720=0.78
3)
residual =actual-predicted= 135.2-(237.33-117.3*0.81)=-7.12
4)
that minimizes the sum of square of error SSE =(y-)2 which for this data is 213.0035
Bivariate data obtained for the paired variables x and y are shown below, in the table...
Bivariate data obtained for the paired variables x and y are shown below, in the table labelled "Sample data." These data are plotted in tho scatter plot in Figure 1, which also displays the least-squares regression line for the data. The equation for this line is y25.35+1.10x In the "Calculations" table are calculations involving the observed y values, the mean y of these values, and the values y predicted from the regression equation Sample data Calculations 215.4 210.7 237.7 251.7...
Bivariate data obtained for the paired variables x and y are shown below, in the table labelled "Sample data." These data are plotted in the scatter plot in Figure 1, which also displays the least-squares regression line for the data. The equation for this line is y = -0.17+ 1.17x. In the "Calculations" table are calculations involving the observed y values, the mean y of these values, and the values y predicted from the regression equation. Sample data Calculations 69...
Bivariate data obtained for the paired variables x and y are shown below, in the table labelled "Sample data." These data are plotted in the scatter plot in Figure 1, which also displays the least-squares regression line for the data. The equation for this line is ý = 0.94 +0.893. In the "Calculations" table are calculations involving the observed y values, the mean y of these values, and the values ♡ predicted from the regression equation. Sample data Calculations y...
Last two photos are responses to choose for questions #1$#4 Bivariate data obtained for the paired variables x and y are shown below, in the table labelled "Sample data." These data are plotted in tho scatter plot in Figure 1, which also displays the least-squares regression line for the data. The equation for this line is y25.35+1.10x In the "Calculations" table are calculations involving the observed y values, the mean y of these values, and the values y predicted from...
Bivariate data for the quantitative variables x and y are given in the table below. These data are plotted in the scatter plot shown next to the table. In the scatter plot, sketch an approximation of the least squares regression line for the data. y 3.4 4.8 11+ 10+ х ? 3.2 5.9 4.4 3 8.7 6.4 2.7 10.5 5.1 7.6 7.3 6.2 2.8 5.5 1.4 6.6 7.0 6.9 5.8 5.7 3.2 8.1 6.2 4.2 5.2 9.5 2.2
we have a bivariate data set and compute the following: r=.7, sy=9, sx=5, x-bar=13.5, y=51.6. We want to know the equation of the least-squares regression line, but we don't have a calculator. Determine the equation of the least-squares regression line from the given data. a. y=46.34+.39x b. y=-51.52+1.26x c. y=34.59+1.26x d. y=-6.624+.39x e. you can't compute the regression line without knowing the original data.
Consider two variables and the least squares equation for their line y=.8565 + 0.40248 x. Regression analysis revealed the following: s = 0.517508 r = .9838 What percentage of the variation of y cannot be explained by the variation of x?
4. Comparing the fit of the regression lines for two sets of data Aa Aa E Examine each of the following scatter diagrams and the corresponding regression lines. Identify which line better fits its data. Graph I Graph 11 Next, calculate a measure of how close the data points are to the regression line. Following are the six pairs of data values for Graph I, along with the regression equation: 5.6 6.6 9.6 y = -0.25 + 1.44x Assignment 14...