A regression model summary had the results (R = .63, R2 = .40). This model explained 40% of the variance in a customs agent’s decision to search a traveller for drugs. How much variance in a customs agent’s decision to search a traveller for drugs was due to error?

What is the variance of the model for the data given in the above question?

Which of the following is not the explained variance?1 pointThe degree to which the regression equation of X and Y is better at predicting the dependent variable than the average of Y.The percentage of variance in Y that is explained by the mean of X.The percentage of the variance in Y which isexplained with the regression equation.The Pearson r squared.

Question 1: In a regression analysis, what information gives R²?a) The unexplained variance by the predictorsb) The share of the dependent variable variance explained by the predictorsc) The badness of the fitd) The quality of the data selection

How do you interpret a coefficient of determination, r², equal to 0.14? Choose the correct answer below. A The interpretation is that 86% of the variation in the independent variable can be explained by the variation in the dependent variable. OB. The interpretation is that 0.14% of the variation in the independent variable can be explained by the variation in the dependent variable. OC. The interpretation is that 0.86% of the variation in the dependent variable can be explained by the variation in the independent variable. OD. The interpretation is that 14% of the variation in the dependent variable can be explained by the variation in the independent variable.

In a simple linear regression model analyzing the impact of temperature (X) on ice cream sales (Y), if the Sum of Squares Total (SST) is 500 and the Sum of Squares Regression (SSR) is 350, what is the proportion of variation in ice cream sales explained by the regression model? And also find the Coefficient of Determination? Question 12Answera.The regression model explains 30% of the variation in ice cream sales, with a Coefficient of Determination significantly greater than the model explains.b.The regression model explains 70% of the variation in ice cream sales, with a Coefficient of Determination same as the model explains.c.The proportion of variation explained cannot be determined from the information provided, but have a Coefficient of Determination same as the model explains.