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Consider the Following Regression Model: Humidity = β0 + β1Temperature

Question 55

Multiple Choice

Consider the following regression model: Humidity = β0 + β1Temperature + β2Spring + β3Summer + β4Fall + β5Rain + ε, where the dummy variables Spring, Summer, and Fall represent the qualitative variable Season (spring, summer, fall, winter) , and the dummy variable Rain is defined as Rain = 1 if rainy day, Rain = 0 otherwise.
What is the regression equation for the winter rainy days?


A) Consider the following regression model: Humidity = β<sub>0</sub> + β<sub>1</sub>Temperature + β<sub>2</sub>Spring + β<sub>3</sub>Summer + β<sub>4</sub>Fall + β<sub>5</sub>Rain + ε, where the dummy variables Spring, Summer, and Fall represent the qualitative variable Season (spring, summer, fall, winter) , and the dummy variable Rain is defined as Rain = 1 if rainy day, Rain = 0 otherwise. What is the regression equation for the winter rainy days? A) = (b<sub>0</sub> + b<sub>3</sub>) + b<sub>1</sub>Temperature + b<sub>5</sub>Rain B) = (b<sub>0</sub> + b<sub>5</sub>) + b<sub>1</sub>Temperature C) = (b<sub>0</sub> + b<sub>2 </sub>+ b<sub>3</sub> + b<sub>4</sub> + b<sub>5</sub>) + b<sub>1</sub>Temperature D) = (b<sub>0</sub> + b<sub>2 </sub>+ b<sub>3</sub> + b<sub>4</sub>) + b<sub>1</sub>Temperature = (b0 + b3) + b1Temperature + b5Rain
B) Consider the following regression model: Humidity = β<sub>0</sub> + β<sub>1</sub>Temperature + β<sub>2</sub>Spring + β<sub>3</sub>Summer + β<sub>4</sub>Fall + β<sub>5</sub>Rain + ε, where the dummy variables Spring, Summer, and Fall represent the qualitative variable Season (spring, summer, fall, winter) , and the dummy variable Rain is defined as Rain = 1 if rainy day, Rain = 0 otherwise. What is the regression equation for the winter rainy days? A) = (b<sub>0</sub> + b<sub>3</sub>) + b<sub>1</sub>Temperature + b<sub>5</sub>Rain B) = (b<sub>0</sub> + b<sub>5</sub>) + b<sub>1</sub>Temperature C) = (b<sub>0</sub> + b<sub>2 </sub>+ b<sub>3</sub> + b<sub>4</sub> + b<sub>5</sub>) + b<sub>1</sub>Temperature D) = (b<sub>0</sub> + b<sub>2 </sub>+ b<sub>3</sub> + b<sub>4</sub>) + b<sub>1</sub>Temperature = (b0 + b5) + b1Temperature
C) Consider the following regression model: Humidity = β<sub>0</sub> + β<sub>1</sub>Temperature + β<sub>2</sub>Spring + β<sub>3</sub>Summer + β<sub>4</sub>Fall + β<sub>5</sub>Rain + ε, where the dummy variables Spring, Summer, and Fall represent the qualitative variable Season (spring, summer, fall, winter) , and the dummy variable Rain is defined as Rain = 1 if rainy day, Rain = 0 otherwise. What is the regression equation for the winter rainy days? A) = (b<sub>0</sub> + b<sub>3</sub>) + b<sub>1</sub>Temperature + b<sub>5</sub>Rain B) = (b<sub>0</sub> + b<sub>5</sub>) + b<sub>1</sub>Temperature C) = (b<sub>0</sub> + b<sub>2 </sub>+ b<sub>3</sub> + b<sub>4</sub> + b<sub>5</sub>) + b<sub>1</sub>Temperature D) = (b<sub>0</sub> + b<sub>2 </sub>+ b<sub>3</sub> + b<sub>4</sub>) + b<sub>1</sub>Temperature = (b0 + b2 + b3 + b4 + b5) + b1Temperature
D) Consider the following regression model: Humidity = β<sub>0</sub> + β<sub>1</sub>Temperature + β<sub>2</sub>Spring + β<sub>3</sub>Summer + β<sub>4</sub>Fall + β<sub>5</sub>Rain + ε, where the dummy variables Spring, Summer, and Fall represent the qualitative variable Season (spring, summer, fall, winter) , and the dummy variable Rain is defined as Rain = 1 if rainy day, Rain = 0 otherwise. What is the regression equation for the winter rainy days? A) = (b<sub>0</sub> + b<sub>3</sub>) + b<sub>1</sub>Temperature + b<sub>5</sub>Rain B) = (b<sub>0</sub> + b<sub>5</sub>) + b<sub>1</sub>Temperature C) = (b<sub>0</sub> + b<sub>2 </sub>+ b<sub>3</sub> + b<sub>4</sub> + b<sub>5</sub>) + b<sub>1</sub>Temperature D) = (b<sub>0</sub> + b<sub>2 </sub>+ b<sub>3</sub> + b<sub>4</sub>) + b<sub>1</sub>Temperature = (b0 + b2 + b3 + b4) + b1Temperature

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