a. Write a multiple regression equation relating ₁ and the categorical variable to y. 1. E(y) = Bo + B 2. E(y) = Bo + Bag 3. E(y) = Bo + Br2 +By 4. E(y) = Bo + Bu+Ban Option 4 Enter the values of dummy variable 2 that are used to indicate the two levels of the qualitative variable. If your answer is zero, enter "0". X2 Level 1 Level 2 X b. What is the expected value of y corresponding to level 1 of the categorical variable? 1. E(y) = Bo + 2. E(y) = Bo + B 3. E(g) = Bo + B2+B 4. E(y) = Bo + Bun+B2 Option 1 c. What is the expected value of y corresponding to level 2 of the categorical variable? 1. E(y) = Bo + B 2. E(y) = Bo + Bang 3. E(g) = Bo + B2+By 4. E(y) = Bo+ Bu+Ban Option 3 d. Interpret the parameters in your regression equation. B2= E(yllevel 2) - E(yllevel1) B₁ is the change in E(y) for a 1 unit change in x1 categorical variable constant. holding the

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Consider a regression study involving a dependent variable y, a quantitative independent variable
₁, and a categorical independent variable with two levels (level 1 and level 2).
a. Write a multiple regression equation relating ₁ and the categorical variable to y.
1. E(y) Bo + B₁x1
2. E(y) = Bo + B2
3. E(g) = Bo + Br2n+B2
4. E(y) = Bo + Biển+B22
Option 4
Enter the values of dummy variable 2 that are used to indicate the two levels of the qualitative
variable. If your answer is zero, enter "0".
Level 1
Level 2
X2
b. What is the expected value of y corresponding to level 1 of the categorical variable?
1. E(y) Bo + ₁x₁
2. E(y) = Bo + Bag
3. E(y) = Bo + Bn+B
4. E(y) = Bo + Biển+B22
Option 1
c. What is the expected value of y corresponding to level 2 of the categorical variable?
1. E(y) Bo + B₁x1
2. E(y) = Bo + B2
3. E(y) = Bo + Br2n+B
4. E(y) = Bo + Biển+B22
Option 3
d. Interpret the parameters in your regression equation.
B₂= E(yllevel 2) - E(yllevel1)
B₁ is the change in E(y) for a 1 unit change in [x1
categorical variable constant.
holding the
Transcribed Image Text:Consider a regression study involving a dependent variable y, a quantitative independent variable ₁, and a categorical independent variable with two levels (level 1 and level 2). a. Write a multiple regression equation relating ₁ and the categorical variable to y. 1. E(y) Bo + B₁x1 2. E(y) = Bo + B2 3. E(g) = Bo + Br2n+B2 4. E(y) = Bo + Biển+B22 Option 4 Enter the values of dummy variable 2 that are used to indicate the two levels of the qualitative variable. If your answer is zero, enter "0". Level 1 Level 2 X2 b. What is the expected value of y corresponding to level 1 of the categorical variable? 1. E(y) Bo + ₁x₁ 2. E(y) = Bo + Bag 3. E(y) = Bo + Bn+B 4. E(y) = Bo + Biển+B22 Option 1 c. What is the expected value of y corresponding to level 2 of the categorical variable? 1. E(y) Bo + B₁x1 2. E(y) = Bo + B2 3. E(y) = Bo + Br2n+B 4. E(y) = Bo + Biển+B22 Option 3 d. Interpret the parameters in your regression equation. B₂= E(yllevel 2) - E(yllevel1) B₁ is the change in E(y) for a 1 unit change in [x1 categorical variable constant. holding the
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