1.Consider a regression study involving a dependent variable y, a categorical independentvariable x1, and a categorical variable with two levels (level 1 and level 2).a. Write a multiple regression...

1.Consider a regression study involving a dependent variable y, a categorical independentvariable x1, and a categorical variable with two levels (level 1 and level 2).a. Write a multiple regression equation relating x1 and the categorical variable to y.b. What is the expected value of y corresponding to level 1 of the categorical variable?c. What is the expected value of y corresponding to level 2 of the categorical variable?d. Interpret the parameters in your regression equation.2.. Consider a regression study involving a dependent variable y, a quantitative independentvariable x1, and a categorical independent variable with three possible levels (level 1, level2, and level 3).a. How many dummy variables are required to represent the categorical variable?b. Write a multiple regression equation relating x1 and the categorical variable to y.c. Interpret the parameters in your regression equation.