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Consider the accompanying set of dependent and independent variables. The variable X3 is qualitative with M = Male and F = Female. Complete parts a and b below. a Click the icon to view the set of variables. a. Using technology, construct a regression model using all three independent variables. (Let variable Gender be the dummy variable for X3. Assign a 1 to a male.) Complete the regression equation for the model below, where X3 represents the dummy variable Gender. 9=D+(D)X1+(EI)X2+(D)X3 (Round to three decimal places as needed.) 0 Variables Suppose the athletic director at a university would like to develop a regression model to predict the point differential for games played by the men's basketball team. A point differential is the difference between the nal points scored by two competing teams. A positive differential is a win, and a negative differential is a loss. For a random sample of games, the point differential was calculated, along with the number of assists, rebounds, turnovers, and personal fouls. Use the data in the accompanying table to complete parts a through e below. Assume a = 0.10. a Click the icon to View the table of data from the men's basketball team a) Using technology, construct a regression model using all three independent variables. Table of Basketball Game Data y= +( )X1+( )X2+( )X3+( )X4 (Round to three decimal places as needed.) Point Differential Assists Rebounds Turnovers Personal Fouls Q1 (v) (X1 ) (X2) (X3) (X4) 3 5 25 1 5 24 14 14 23 1 7 1 2 1 0 9 26 1 0 21 1 1 9 30 1 5 26 - 1 10 1 2 1 1 1 8 5 1 3 1 7 14 21 9 8 23 14 1 5 1 3 1 5 28 1 7 1 7 - 8 6 1 2 14 21 1 3 1 3 24 1 5 25