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For the following questions, refer to the table below. Note that X2 is a dummy variable, taking values of 0 or 1. X1 × X2 is an interaction term between X1 and X2. For a one-unit increase in X1, what is the predicted change in Y? -0.778

For the following questions, refer to the table below. Note that X2 is a dummy variable, taking values of 0 or 1. X1 × X2 is an interaction term between X1 and X2. For a one-unit increase in X1, what is the predicted change in Y? -0.778

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 15E
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For the following questions, refer to the table below. Note that X2 is a dummy variable, taking values of 0 or 1. X1 × X2 is an interaction term between X1 and X2.

For a one-unit increase in X1, what is the predicted change in Y?

  1. -0.778
  2. 0.344
  3. 0.055
  4. -0.723
t value Pr(>|t|) < 0.001 < 0.001 < 0.001 < 0.05 Estimate Std. Error (Intercept) 2.121 0.01 212.1 X1 0.055 0.051 59.90 X2 1.122 0.032 36.66 X1×X2 -0.778 0.301 2.12 R2 0.44 Adj.R? 0.39
Transcribed Image Text:t value Pr(>|t|) < 0.001 < 0.001 < 0.001 < 0.05 Estimate Std. Error (Intercept) 2.121 0.01 212.1 X1 0.055 0.051 59.90 X2 1.122 0.032 36.66 X1×X2 -0.778 0.301 2.12 R2 0.44 Adj.R? 0.39
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Follow-up Question

(still referring to the table) For a one-unit increase in X1 for observations with X2=0, what is the expected change in Y? What about for observations with X2=1?

a. -0.778

b. 0.344

c. 0.055

d. -0.723

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Follow-up Question

What is the intercept for observations with X2 equal to 0?

a. 2.121

b. 0.055

c. 1.343

d. -0.723

Solution
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