Question

ing Word without interruption, please reactivate now. Reactivate 9. Scores on various tests were collected on 200 high school students. Tests included Science, Math, Reading and Social Studies. The variable Female is a dichotomous variable (0=female, 1 = male) Suppose we model (using multiple linear regression) Science score as the response variable and the rest of the variables as explanatory variables. Given the coefficients below, what is the predicted science score for the following student: Female, with a math score of 85, social studies score of 75 and a reading score of 65 (1) Model Constant Math score Male Social Studies Score Reading Score Coefficient 12.325 189 -2.01 0 30 025 6 I 10. Explain the impact variable Male has in the model described above. Specifically use the coefficient and the response variable (Science Score). (1) FOSS 10
please answer 9 & 10

Answer 1

Q9) For female, male independent variable = 0

For the given coefficients, the predicted science score is computed here as:

Science Score = 12.325 + 0.189*Math score - 2.01*Male + 0.3*Social Studies Score + 0.25*Reading score

= 12.325 + 0.189*85 - 2.01*0 + 0.3*75 + 0.25*65

= 67.14

Therefore 67.14 is the required predicted value here.

Q10) The interpretation of the coefficient of male variable which is -2.01 here is that on an average, males have a 2.01 score lower than the females.