?Q1: Although the relationship in the midst of the response variable Y and the instructive variable X is a clean line in a simple linear lapse, all data points in this arrested development are not laying on this straight line. The take issueences are the correspondences which display how much the observed values differ from the fitted values. For example, in the figure 1, the residuals are positive; the corresponding points A and B are above the line. On the other hand, if the residual is negative, the point C is under the line. When the residual equals to zero, the point pass on lie on the line. Hence, the line of simple linear regression is the best-fitting line through the points in the scatterplot. Q2: forge 1 Model 2 Model 3 No of free lance vars. 4 6 9 R2 0.76 0.77 0.79 Adj. R2 0.75 0.74 0.73 The stumper 1 is the best pickaxe of these models. The explanation as following: The value of R2 (coefficient of determination) is always between 0 and 1 and it can be interpreted as the fraction of variation of the interdependent variable explained by the regression line (Albright, Winston & Zappe, 2006, p. 593). If R2 is close to 1 and the residuals are small which performer the predictions are accuracy good.
Also, if we would like to increase the value of R2, the only if way is to use better and/or more independent variables. In the case of question cardinal, the model 3s R2 value is closer to 1 rather than other two models. Also, the model 3 has the most number of independent variables. The model 3 seems be the best choice. However, we still need to tint whether the independent variables which in the model 3 are the ingrained and suitable variables or not. Because R2 can only increase when pleonastic independent variables are putting into an equation. This can result infishing expeditions that added some of which no intangible relationship to the dependent variables as we keep adding variables to an equation only for inflating the R2 value(Albright,... If you want to nab a full essay, order it on our website: Ordercustompaper.com
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