Question

A) Imagine a multiple regression model predicting y with the independent variables $x_1$ and $x_2$. If the prediction equation is $\hat{y} = -0.5 + 1 \cdot x_1 + 2 \cdot x_2$, the expected change in y for each one-unit increase in $x_2$ is... -0.5 1 2 Depends on $x_1$ B) What is the alternate hypothesis for the coefficient $\beta_2$ for $x_2$ (two-sided)? $\beta_2 = 0$ $\beta_2 > 0$ $\beta_2 < 0$ $\beta_2 \neq 0$ C) If $x_1 = 0$ and $x_2 = 0$ and the observed value of y is 1 for a single observation, what is the residual for the prediction equation $\hat{y} = -0.5 + 1 \cdot x_1 + 2 \cdot x_2$? -0.5 0 1 1.5 D) Imagine a multiple regression model predicting y with the independent variables $x_1$ and $x_2$. If the prediction equation is $\hat{y} = -0.5 + 1 \cdot x_1 + 2 \cdot x_2 + 3 \cdot x_1 \cdot x_2$, the expected change in y for each one-unit increase in $x_2$ is... -0.5 1 2 Unknown; depends on $x_1$

          A) Imagine a multiple regression model predicting y with the independent variables $x_1$ and $x_2$. If the prediction equation is $\hat{y} = -0.5 + 1 \cdot x_1 + 2 \cdot x_2$, the expected change in y for each one-unit increase in $x_2$ is...
-0.5
1
2
Depends on $x_1$
B) What is the alternate hypothesis for the coefficient $\beta_2$ for $x_2$ (two-sided)?
$\beta_2 = 0$
$\beta_2 > 0$
$\beta_2 < 0$
$\beta_2 \neq 0$
C) If $x_1 = 0$ and $x_2 = 0$ and the observed value of y is 1 for a single observation, what is the residual for the prediction equation $\hat{y} = -0.5 + 1 \cdot x_1 + 2 \cdot x_2$?
-0.5
0
1
1.5
D) Imagine a multiple regression model predicting y with the independent variables $x_1$ and $x_2$. If the prediction equation is $\hat{y} = -0.5 + 1 \cdot x_1 + 2 \cdot x_2 + 3 \cdot x_1 \cdot x_2$, the expected change in y for each one-unit increase in $x_2$ is...
-0.5
1
2
Unknown; depends on $x_1$

A) Imagine a multiple regression model predicting y with the independent variables x1 and x2. If the prediction equation is ŷ = -0.5 + 1 · x1 + 2 · x2, the expected change in y for each one-unit increase in x2 is...
-0.5
1
2
Depends on x1
B) What is the alternate hypothesis for the coefficient β2 for x2 (two-sided)?
β2 = 0
β2 > 0
β2 < 0
β2 ≠ 0
C) If x1 = 0 and x2 = 0 and the observed value of y is 1 for a single observation, what is the residual for the prediction equation ŷ = -0.5 + 1 · x1 + 2 · x2?
-0.5
0
1
1.5
D) Imagine a multiple regression model predicting y with the independent variables x1 and x2. If the prediction equation is ŷ = -0.5 + 1 · x1 + 2 · x2 + 3 · x1 · x2, the expected change in y for each one-unit increase in x2 is...
-0.5
1
2
Unknown; depends on x1

Added by Dustin G.

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