Consider a regression study involving a dependent variable y, a quantitative independent variable 22, and a categorical
Posted: Wed Jul 06, 2022 12:13 pm
Consider a regression study involving a dependent variable y, a quantitative independent variable 22, and a categorical independent variable with two levels (level 1 and level 2). a. Write a multiple regression equation relating and the categorical variable to y. 1. E(y) Po + B₂20₂ 2. E(y) Bo + B2zz 3. E(y) = Bo + Bitôn 4. E(s) = Bo+ BitB - Select your answer - V Enter the values of dummy variable that are used to indicate the two levels of the qualitative variable. If your answer is zero, enter "0". 21 Level 1 Level 2 b. What is the expected value of y corresponding to level 1 of the categorical variable? 1. E() Bo + B₁21 2. E(y) Bo+Bzzz 3. E(y) = Bo + BitB 4. E(y) Po + B₂0₂ + B₂22 - Select your answer - V c. What is the expected value of y corresponding to level 2 of the categorical variable? 1. E(y) + B121 2. E(s) — Bo+ Bay 3. E(v) = Bo + BitBy 4. E(y) Bo + B1 + B₂22 - Select your answer - V d. Interpret the parameters in your regression equation. 8₁-Select your answer - B₂ is the change in E(y) for a 1 unit change in -Select your answer - holding the categorical variable constant.