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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. :1. Using tedmology, 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. = 14.610 +(o.928)x1+( -o.444)x2 + (1.281)X3 (Round to three decimal places as needed.) b. Interpret the meaning of each of the regression coefcients. Select the correct choice below and ll in the answer boxes to complete your choice. (Round to three decimal places as needed.) O A- Increasing x1 by 1 unit increases y by an average of units. Increasing x2 by 1 unit decreases y by an average of units. Males increase y by an average of units when compared with females. O 3- Increasing x1 by 1 unit increases y by an average of units. Increasing x2 by 1 unit decreases y by an average of units. Females decrease y by an average of units when compared with males. O C- Increasing x1 by 1 unit increases y by an average of units. Increasing x2 by 1 unit decreases y by an average of units. Increasing X3 by 1 unit increases y by an average of units. 0 Variables - X y 12 15 12 19 20 24 28 32 X1 3 5 4 10 7 11 17 20 x2 1 7 1 0 1 3 1 1 2 7 7 4 Click to select and enter your answer(s) and then click Check Answer. 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 dierential 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 or = 0.10. a Click the icon to view the table of data from the men's basketball team. 3) Using technology, construct a regression model using all three independent variables. 3?: 12.810' + ( 0.996')x1 + ( 0.909')x2 +( - 0.390')x3 +( - 0.242')x4 (Round to three decimal places as needed.) b) Test the signicance of each independent variable using or: 0.10. Identify the general form of the null and alternative hypotheses, where B]- is the population regression coefcient for the jth independent variable Ho:j V H1 : B]- V (Type integers or decimals.) Table of Basketball Game Data ' PointDifferential Assists Rebounds Turnovers Personal Fouls 9 (V) (*1 ) (X2) (X3) (X4) 3 5 25 15 24 14 14 23 17 12 10 9 26 1D 21 11 9 30 15 26 -1 10 12 11 18 5 13 17 14 21 9 8 23 14 15 13 15 28 17 17 -8 6 12 14 21 13 13 24 15 25 l m H D... l